It depends on your definition of "random." It might not be random in the sense that there really is a pattern, if you keep track of all the molecules of the fluid. But, it would still be random in the sense that we are unable to keep track of all the molecules of the fluid, and therefore the behavior of the emersed particles is unpredictable to us, given our lack of knowledge. Then, if we bring Quantum Probability into it, then it seems that probability is an intrinsic part of the way fundamental particles work, and it is not simply our lack of knowledge.
OMG! you have even depicted the reflection of particles on each other with such an accuracy! I think it must of taken a lot of efforts to do these animations. Waiting for more cool videos to come
You should make an intelligent video on the weird concept of enthalpy in static matter / fluid and moving matter / fluid ..... This is one of the most difficult concept to understand in thermodynamics.... What about making a video on philosophy of spiritual sciences and its connection with physics..? OR Making a video on physical chemistry ?
Brownian motion is a simple yet fascinating thing in nature that continues to give insights to us. Apply a Brownian algorithm to some non-linear dynamics (chaos/fractal...) as a changing fractal dimension variable and the output(s) are ... wordless... hope you get the point. Great short,
Your videos helped me a lot when i was struggling learning physics in my graduation. And your animations made it easy for me to keep focused. I mean it man, for me, you deserve the best things in this world. Physics its not easy, and its a wonderful subject. I really admire people like you, who can not only understand the filosophy of physics a deep level, but can also make others understand it as well. :D
I read your article "Why children should rebel " it was a very fresh perspective. I myself did a survey in which I asked 59 children to rate their parents on the basis of questions I asked in a survey. The average marks for parents was 57 out of 80. Got many interesting results,
I have a question I want to prove with the Formula Lom how fast the electron weighs towards the proton! or the weighting power between proton and electron with formula please??
Surprisingly, the explanation of Brownian motion does not involve any mathematical operations, but from a statistical point of view, it is summarized as a bell curve, which is really great, thank you.
Brownian motion is not really random, as particals are in constant collision with molecules ( water H²O, gases, etc.) Effected by gravity or frequency, energy, ether... movements would trace out a pattern of the fibronacci sequence if viewed in a 3-D weightless environment by forces akin to the intermediate axis Theorem or torque ....
Could you please do a video on Z transform and differential equations? These videos are wonderful and a lot easier to understand than any university lectures.
The experiment with the pollen in my opinion goes to show just how life could emerge through just the random interactions of particles with unique attractive and repulsive properties. What people like to ignore, or neglect to consider, is that "inert lifeless atoms" don't just sit there and wobble. They dance and bond into unique chemical structures that now have interesting properties of, from the perspective of any single atom, a much larger and more interesting atom. Something a little different than everything else around it. A bigger chemical structure has just that much time to have multiple interacting parts with heavier atoms to get us to intelligent multicellular life, where we are now. Pollen just needs to find it way to another plant and the structure of the chemicals will ensure that reproduction occurs, if everything is in the right place. Beauty which many don't seem to think counts in the natural arts.
Very good thoughts! The problem lies a bit deeper I am afraid. In order to understand this you have to understand the symmetry of the carbon atom. If you don't want to read my explanation I suggest you look up "chirality" and just skip the next paragraph. In essence if you take a tetrahedron with 4 distinguishable corners, there are two possible unique arrangements you can create. Both arrangements are not equal and one can not be generated from the other without actually detaching one corner and attaching it to the other. For another example of chirality look at your hands. Both hands are set up in exactly the same way, they are mirror images of one another, but they are not equal. Now, in chemistry the carbon atom creates 4 bonds in a tetrahedron geometry, if all 4 ends attached to the carbon are distinguishable, you have a chiral molecule. This is not at all rare, in fact every amino acid (except for glycine) is chiral. Glucose is chiral, etc. In order to be more brief in my explanations I shall distinguish the two forms with R and S. This is the official nomenclature but it really doesn't matter what you call it. Think of R as "right" and S as "left". So far so good, we have chiral carbon atoms in many biomolecules so what? In fact both R and S forms have the same physical properties, they melt at the same temperature. Why should we care? Well life cares, not only do we have a left and right hand we also have right handed sugars and left handed amino acids (except for glycine which is not chiral) in our body. All of them are. If you have a pool of molecules sitting around and reacting there is nothing that will force a molecule to be attacked from the right side or left side. Both sides have a 50:50 probability and if you have a large enough quantity of molecules (which is necessary in order to create life) you will always have a 50:50 distribution between the two. I should note that we have found ways around this in chemistry, but they all can be traced back to actually extracting a molecule from a living being and using that information in some way to force the reaction into one direction. So in the way you've worded it, life just happened by chance. It happened merely by the right molecules reacting in the right way in order to eventually form an assembly that we could call life. But the universe isn't long enough to let that chance be, there has to be something we're missing. Steve Mould created a video around the subject afaik
I have been interested in this topic for a long time, but I do not know where to find more information, so I will write here :) Why is Brownian motion possible? The particles collide, they lose energy... in an insulated system, the temperature should drop. Can such a phenomenon be observed? Is there any limit to the particle diameter at which mentioned motion is observed? For example, for air suspended particles. Is mass / density or diameter more important in this case?
If heat can flow out of the system, then heat can also flow into the system, and the temperature will eventually be the same as the surroundings, for thermodynamic equilibrium. For a perfectly insulated system, heat can't flow in or out, and the temperature of the system will stay the same. My understanding is that Brownian motion happens for any particle diameter. And Brownian motion occurs both in liquids and in gasses.
You see the earth dry and barren and then no sooner than ( We send down water upon it, it begins to quiver and swell ) and brings forth every kind of beauteous vegetation. Quran 22 : 5 Surah Al Hajj
I would like to contact this channel about how to improve math groups in my community. I'm looking for information about learning math in a team setting. Any ideas, or who can I contact?
I am the owner of this channel. I don't have any suggestions for you, other than to share links to the videos on my channel. I have many videos on mathematics. My playlist, titled "Math Videos in order" is at the link below. ruclips.net/p/PLkyBCj4JhHt8CID9Kz9dcxnoK9rg6f9hW
You can't copy my videos, but you can play my videos in front of your class, so long as you are playing the videos directly from my RUclips channel. By the way, many of my videos have Hindi subtitles available. To see the subtitles: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). If you would like to help me add Hindi subtitles to a video that does not already have them, please send me an email. My email address is available in the "about" tab on my RUclips home page (if you view it on a PC, not a phone). I will email you the subtitle file in English (which includes the timings). You will then be able to edit the file to replace the English with the translation, and then email the file back to me, and I will then upload the translation to my channel. Thanks.
So how does a single atom brownian-move? As long as it doesn't bump into anything, does it always move in a straight line? Or is the movement always erratic?
Even if you have a single submerged particle, the fluid it is submerged in is still composed of many atoms and molecules, and it is these atoms and molecules that the submerged particle will collide against.
@@EugeneKhutoryansky Thank you for the answer, but I think I should have said "in vacuum". I guess these particles then always move in straight lines and are called radiation, or stellar wind above a certain size.
@@EugeneKhutoryansky In a classical sense its a vibration of a ball. Then each temperature would have a corresponding vibration frequency right? A vibrating ball in empty space would seize vibrating if no external energy is added to it. But a particle of temperature X in empty space would only lose temperature through radiation. Hm. I cant make sense of brownian motion and temperature in a classical sense. Can you help me?
If the probability distribution is a Bell curve that is never zero no matter the distance, does this imply that the particle can occasionally travel faster than light?
If scientists could think with logic, they would easily understand that brownian motions explain entropy. Brownian motions in quantum mechanics explain entropy in general relativity. ♉♉♉
I use "Poser" for my animations. I used "Poser Physics" (purchased separately) for the simulations in this video. I have a video on how I make 3D animations at ruclips.net/video/6Hl5dvA88Uo/видео.html
I am not sure that there is enough to talk about with regards to a Mobius strip to fill an entire video. Though, I already show Mobius strips in some of my animations, such as the opening scene to my original video on Calculus at ruclips.net/video/rjLJIVoQxz4/видео.html
Without quantum probability, everything can theoretically be predicted, given enough information. However, with Quantum Probability, the probability is intrinsic to the Universe.
@@EugeneKhutoryansky But there is this idea that in principle information is never lost, even in the case of planets and stars falling into a black hole or something as mundane as burning a page of a book. This has never made sense to me in the light of Quantum uncertainty, which I imagined would soon wipe out any previous information.
What I don't get, is why they spread out. The colored particles have the same density and size, having no "advantage" over water particles. So shouldn't they stay in about the same place?
I believe it is correct the way it is. I am referring to the probability distribution, and we would have a Bell Curve probability distribution for the position of even a single particle.
@@EugeneKhutoryansky I realize i'm splitting semantic hairs a bit, and my point is at best a small and subtle one. At 2:59 it says "the bell curve will always remain centered on the original location of the particles" (note the plural, because bell curves apply to a finite data set ... in this case the particles in the example). However, taken together with the statement at 1:50 which accurately describes how brownian motion causes the particles to diffuse throughout an area, the minor issue i'm thinking of involves diffusion into a bounded space albeit with an off-center starting position. Let's say you upend a test tube of xenon gas into one end of an empty shoebox - when the individual atoms diffuse into the air within the box, the distribution doesnt seem like it would be a bell curve, because a lot of them would diffuse in the obvious direction. That's all I was suggesting - the wording evoking a bell curve of positions can seem a little imprecise, depending on how you picture it, and if/how the space is bounded, so I thought a slightly more generalized wording might help. What that wording should be, i'm not exactly sure. 🙃 Anyway, cheers ... I really enjoy your content. +1 😄👍
Yes, I am assuming that there are no boundaries to where the particles can be. Otherwise, the distribution can't be a Bell Curve, because the tails of the Bell Curve extend to infinity in both directions, without ever reaching zero.
I get the fact that the immersed particles can be much larger than the fluid molecules, but surely there has to be a limit? It always bothered me that even the smallest speck of dust under a light microscope would be enormously bigger than a water molecule.
I have gone through all your basic electricity videos with my dad amd we both love it . Great job 👏.
Thanks. I am glad you liked my electricity videos.
that is intelesting
Was just studying this in my textbook.And you posted it thank you 😍🙏
I am glad that I posted this at just the right time.
ruclips.net/video/1WNO_Cmyg68/видео.html.
I appreciate the amount of work y'all put into these. Thank you for creating such content, may it increase efficiencies known and unknown.
Thanks.
Eugene is the best! Thank you for your contributions to humanity, we all understand better everything we couldn't imagine
Thanks for the compliments.
Fantastic Animations! I'm in love. If your channel didn't exist, I'd have much more difficulties trying to understand phenomena in physics!
Thanks for the compliment about my animations. I am glad that my videos are helpful.
hey, i love your videos so much. Thank you for informing us on such complex matters in such simplistic ways :D
Thanks.
You are doing a great job..!!! Thankyou soo much.
Thanks for the compliment.
Thanks again for another fine video. I was just thinking about your videos and wondered when I would see another one.
Thanks.
Very intersstig article, thank you
Just learned about brownian motion and you explained it way better than my professor, thank you !
Thank you so much for your videos!
Thank you. I am glad you like my videos.
Great video, as allways! Thank you! :)
Thanks.
Outstanding presentation.. 👏🏻👏🏻👏🏻👍🏻
Thanks. I am glad you liked it.
you are amazing please dont stop
Thanks.
I love your videos, they really helped me understand better my physics courses in engineering school
Thank you for sharing your knowledge
Thanks. I am glad my videos are helpful.
THIS VOICE TAKES ME TO OTHER WORLD😍really love it❣️
Thank you.
Kira ♥
It's a robot voice so, it's alright I guess
Your way of explanation is very simple and easy to understand for anyone 👍👍
Thanks.
Another masterpiece.
Thanks for the compliment.
Amazing Explanation
Thank you ❤️
I am glad you liked my explanations. Thanks.
That was superb!
Thanks for the compliment.
Currently my base topic of research. And this video is so refreshing.
Thanks.
just because we lack the ability to detect, analyze, and describe atomic dynamics doesnt mean the motion is "random."
That’s true, but modeling it as randomness works pretty well. I guess randomness should be defined more clearly to convey the orthodox idea.
It depends on your definition of "random." It might not be random in the sense that there really is a pattern, if you keep track of all the molecules of the fluid. But, it would still be random in the sense that we are unable to keep track of all the molecules of the fluid, and therefore the behavior of the emersed particles is unpredictable to us, given our lack of knowledge. Then, if we bring Quantum Probability into it, then it seems that probability is an intrinsic part of the way fundamental particles work, and it is not simply our lack of knowledge.
@@funkyflames7430 great response
@@EugeneKhutoryansky you got it
OMG! you have even depicted the reflection of particles on each other with such an accuracy! I think it must of taken a lot of efforts to do these animations. Waiting for more cool videos to come
Thanks.
ruclips.net/video/1WNO_Cmyg68/видео.html.
I was on a random walk and stumbled across this video.
Each time I watch one of your video, it blows me away, feeling I take the red pill of Matrix that makes me see the true reality of life
Thanks. I am glad you like my videos.
You should make an intelligent video on the weird concept of enthalpy in static matter / fluid and moving matter / fluid ..... This is one of the most difficult concept to understand in thermodynamics....
What about making a video on philosophy of spiritual sciences and its connection with physics..?
OR
Making a video on physical chemistry ?
Brownian motion is responsible for the brownies that make their way into my stomach. 😋
Thanks for this video.
Thanks.
Explained very well 😀😀
Thanks. I am glad you liked my explanation.
very informative video. thank you for providing us with this content for free.
Thanks. I am glad you liked my video.
The best videos in physics. Thanks
Thank you.
Very interesting article, thank you
Thanks.
thank you, this is great!
Thanks. I am glad you liked my video.
Brownian motion is a simple yet fascinating thing in nature that continues to give insights to us. Apply a Brownian algorithm to some non-linear dynamics (chaos/fractal...) as a changing fractal dimension variable and the output(s) are ... wordless... hope you get the point.
Great short,
Thanks.
Eugene is the greatest!!
Thanks for the compliment.
YOUR MY REAL TEACHER MAM☺️I love ur videos so much, ALWAYS WAITING FOR YOUR VIDEOS 🤩
Thanks!
Eugene, i love you! Really man! Greetings from Brazil.
Thanks!
Your videos helped me a lot when i was struggling learning physics in my graduation. And your animations made it easy for me to keep focused. I mean it man, for me, you deserve the best things in this world. Physics its not easy, and its a wonderful subject. I really admire people like you, who can not only understand the filosophy of physics a deep level, but can also make others understand it as well. :D
Thanks for the compliments.
Thanks
In my opinion, you are the best in RUclips.
Thanks for the compliment.
I read your article "Why children should rebel " it was a very fresh perspective.
I myself did a survey in which I asked 59 children to rate their parents on the basis of questions I asked in a survey.
The average marks for parents was 57 out of 80.
Got many interesting results,
I am glad you liked my article. Thanks.
Thanks 🙏
You are welcome and thanks.
wooo an upload
Thank you for making good content 😊
Thanks.
I have a question
I want to prove with the Formula Lom how fast the electron weighs towards the proton! or the weighting power between proton and electron with formula please??
Surprisingly, the explanation of Brownian motion does not involve any mathematical operations, but from a statistical point of view, it is summarized as a bell curve, which is really great, thank you.
Thanks.
Entropy is wild boy.
I ALWAYS WONDER HOW U MAKE THIS STUFF🤔🧐your videos are very helpfull, i learned so much from ur videos 😍CANT WAIT FOR NEXT VIDEO❣️
Thanks.
1:32 a visual of Archimedes’ principle
It is also a demonstration of the raisin bran effect (granular convection)
I have a video on Archimedes' Principle with many more of these types of animations at ruclips.net/video/SRaDpDT_znY/видео.html
@@EugeneKhutoryansky YESSS! Plug that content everywhere!
Brownian motion is not really random, as particals are in constant collision with molecules ( water H²O, gases, etc.) Effected by gravity or frequency, energy, ether... movements would trace out a pattern of the fibronacci sequence if viewed in a 3-D weightless environment by forces akin to the intermediate axis Theorem or torque ....
Awesome😍😍
Thanks.
Could you please do a video on Z transform and differential equations? These videos are wonderful and a lot easier to understand than any university lectures.
The Z transform is on my list of topics for future videos. Thanks.
The experiment with the pollen in my opinion goes to show just how life could emerge through just the random interactions of particles with unique attractive and repulsive properties. What people like to ignore, or neglect to consider, is that "inert lifeless atoms" don't just sit there and wobble. They dance and bond into unique chemical structures that now have interesting properties of, from the perspective of any single atom, a much larger and more interesting atom. Something a little different than everything else around it. A bigger chemical structure has just that much time to have multiple interacting parts with heavier atoms to get us to intelligent multicellular life, where we are now. Pollen just needs to find it way to another plant and the structure of the chemicals will ensure that reproduction occurs, if everything is in the right place. Beauty which many don't seem to think counts in the natural arts.
Very good thoughts! The problem lies a bit deeper I am afraid. In order to understand this you have to understand the symmetry of the carbon atom. If you don't want to read my explanation I suggest you look up "chirality" and just skip the next paragraph.
In essence if you take a tetrahedron with 4 distinguishable corners, there are two possible unique arrangements you can create. Both arrangements are not equal and one can not be generated from the other without actually detaching one corner and attaching it to the other. For another example of chirality look at your hands. Both hands are set up in exactly the same way, they are mirror images of one another, but they are not equal.
Now, in chemistry the carbon atom creates 4 bonds in a tetrahedron geometry, if all 4 ends attached to the carbon are distinguishable, you have a chiral molecule. This is not at all rare, in fact every amino acid (except for glycine) is chiral. Glucose is chiral, etc.
In order to be more brief in my explanations I shall distinguish the two forms with R and S. This is the official nomenclature but it really doesn't matter what you call it. Think of R as "right" and S as "left".
So far so good, we have chiral carbon atoms in many biomolecules so what? In fact both R and S forms have the same physical properties, they melt at the same temperature. Why should we care? Well life cares, not only do we have a left and right hand we also have right handed sugars and left handed amino acids (except for glycine which is not chiral) in our body. All of them are.
If you have a pool of molecules sitting around and reacting there is nothing that will force a molecule to be attacked from the right side or left side. Both sides have a 50:50 probability and if you have a large enough quantity of molecules (which is necessary in order to create life) you will always have a 50:50 distribution between the two. I should note that we have found ways around this in chemistry, but they all can be traced back to actually extracting a molecule from a living being and using that information in some way to force the reaction into one direction.
So in the way you've worded it, life just happened by chance. It happened merely by the right molecules reacting in the right way in order to eventually form an assembly that we could call life. But the universe isn't long enough to let that chance be, there has to be something we're missing. Steve Mould created a video around the subject afaik
Do you have any video that covers the Mathematical universe hypothesis?
I have been interested in this topic for a long time, but I do not know where to find more information, so I will write here :)
Why is Brownian motion possible? The particles collide, they lose energy... in an insulated system, the temperature should drop. Can such a phenomenon be observed?
Is there any limit to the particle diameter at which mentioned motion is observed? For example, for air suspended particles. Is mass / density or diameter more important in this case?
If heat can flow out of the system, then heat can also flow into the system, and the temperature will eventually be the same as the surroundings, for thermodynamic equilibrium. For a perfectly insulated system, heat can't flow in or out, and the temperature of the system will stay the same. My understanding is that Brownian motion happens for any particle diameter. And Brownian motion occurs both in liquids and in gasses.
Inevitably it leads to VR where the observer gonna be a particle expressing a Brownian Motions 8-)
Nice 👌🏼
Thanks.
You see the earth dry and barren and then no sooner than ( We send down water upon it, it begins to quiver and swell ) and brings forth every kind of beauteous vegetation.
Quran 22 : 5
Surah Al Hajj
Interesting!
Thanks.
The dispersion is proportional to the square root of the time, is more accurate
Hello, Eugene I love your videos.
Have you ever thought about accepting tips in cripto? like bitcoin, eth or BAT?
I am glad you like my videos. Presently, the only way people can give tips is through Patreon. I am not familiar with crypto.
Make another vedio on Newton's law of cooling it's feel is must in order to solve qns.
Please make video about Vibration
WHAT IS THE WEBSITE YOU USED TO MAKE THIS STUFF MAM😯can u tell me please
I explain how I make my 3D animations in my video at ruclips.net/video/6Hl5dvA88Uo/видео.html
Молодец Евгений 😁
Спасибо.
Upload full vedio on metal and nonmetals and their properties
I will add that to my list of topics for future videos. Thanks.
Great Video.Can someone please tell the name of music used in this video?
Thanks for the compliment. The song is "Morning_Mood_by_Grieg" from the free RUclips audio library.
@@EugeneKhutoryansky Thank You very much.Looking for this song for very long.
I would like to contact this channel about how to improve math groups in my community. I'm looking for information about learning math in a team setting. Any ideas, or who can I contact?
I am the owner of this channel. I don't have any suggestions for you, other than to share links to the videos on my channel. I have many videos on mathematics. My playlist, titled "Math Videos in order" is at the link below.
ruclips.net/p/PLkyBCj4JhHt8CID9Kz9dcxnoK9rg6f9hW
is there brownian motion in solids?
Hey can i use yours videos for interpret in hindi for my students
You can't copy my videos, but you can play my videos in front of your class, so long as you are playing the videos directly from my RUclips channel. By the way, many of my videos have Hindi subtitles available. To see the subtitles: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). If you would like to help me add Hindi subtitles to a video that does not already have them, please send me an email. My email address is available in the "about" tab on my RUclips home page (if you view it on a PC, not a phone). I will email you the subtitle file in English (which includes the timings). You will then be able to edit the file to replace the English with the translation, and then email the file back to me, and I will then upload the translation to my channel. Thanks.
So how does a single atom brownian-move? As long as it doesn't bump into anything, does it always move in a straight line? Or is the movement always erratic?
Even if you have a single submerged particle, the fluid it is submerged in is still composed of many atoms and molecules, and it is these atoms and molecules that the submerged particle will collide against.
@@EugeneKhutoryansky Thank you for the answer, but I think I should have said "in vacuum". I guess these particles then always move in straight lines and are called radiation, or stellar wind above a certain size.
Does the brownian motion result from the repeated collaps of the wavefunction of two neighboring particles?
Brownian motion would occur even with classical physics.
@@EugeneKhutoryansky In a classical sense its a vibration of a ball. Then each temperature would have a corresponding vibration frequency right? A vibrating ball in empty space would seize vibrating if no external energy is added to it. But a particle of temperature X in empty space would only lose temperature through radiation. Hm. I cant make sense of brownian motion and temperature in a classical sense. Can you help me?
If the probability distribution is a Bell curve that is never zero no matter the distance, does this imply that the particle can occasionally travel faster than light?
That depends on whether or not we bring Quantum Mechanics into it.
If scientists could think with logic, they would easily understand that brownian motions explain entropy.
Brownian motions in quantum mechanics explain entropy in general relativity.
♉♉♉
Where does the energy come from and where does it go?
The energy is the thermal energy of the vibration of the molecules. It comes and goes as the flow of heat.
hi Eugine .. what software do you use
I use "Poser" for my animations. I used "Poser Physics" (purchased separately) for the simulations in this video. I have a video on how I make 3D animations at ruclips.net/video/6Hl5dvA88Uo/видео.html
how do you do the animation? is it a simulation algorithm?
I make my animations with Poser. I made the simulation with "Poser Physics", an add-on program purchased separately from Poser.
@@EugeneKhutoryansky thank you 🙏 congratulations on the great content
Please make video regarding statistical physics
I cover that in my video on probability at ruclips.net/video/X2eomv6XfWo/видео.html
2:24 Zac Efron deformed skull reveal
hi eugene, can you introduce crystal oscillator and how it works to us?
Crystal oscillators are on my list of topics for future videos. Thanks.
I had an idea. How about a video on the Möbius strip. A M C Escher style illustration that causes problems because of dimensions.
I am not sure that there is enough to talk about with regards to a Mobius strip to fill an entire video. Though, I already show Mobius strips in some of my animations, such as the opening scene to my original video on Calculus at
ruclips.net/video/rjLJIVoQxz4/видео.html
@@EugeneKhutoryansky Thank you Eugene. I’ll check it out.
Doc brown Irl no way
👍
Einstein
ah, so brownian motion is a fallacy.
IKR! Where is the isolation of variables here???
No, fallacies are related to faulty arguments. Brownian motion is a phenomena, so it is much more difficult to argue that it is a misguided belief.
Are you talking about the false explanation of brownian motion?
@@funkyflames7430 the belief of randomness is fallible
*seemingly random
Nice video and we always with Ukrainian people, hope Ceasefire
hi
Are these fluctuations really random or they could be theoretically predicted given enough information?
Without quantum probability, everything can theoretically be predicted, given enough information. However, with Quantum Probability, the probability is intrinsic to the Universe.
@@EugeneKhutoryansky But there is this idea that in principle information is never lost, even in the case of planets and stars falling into a black hole or something as mundane as burning a page of a book. This has never made sense to me in the light of Quantum uncertainty, which I imagined would soon wipe out any previous information.
How tf it happened? I was just studying Brownian motion.
What I don't get, is why they spread out. The colored particles have the same density and size, having no "advantage" over water particles. So shouldn't they stay in about the same place?
They spread out simply because of their random motion.
2:56 Minor Comment: Perhaps instead of "their positions" it should say "their aggregate positions" ?
Cheers, and +1
I believe it is correct the way it is. I am referring to the probability distribution, and we would have a Bell Curve probability distribution for the position of even a single particle.
@@EugeneKhutoryansky I realize i'm splitting semantic hairs a bit, and my point is at best a small and subtle one. At 2:59 it says "the bell curve will always remain centered on the original location of the particles" (note the plural, because bell curves apply to a finite data set ... in this case the particles in the example). However, taken together with the statement at 1:50 which accurately describes how brownian motion causes the particles to diffuse throughout an area, the minor issue i'm thinking of involves diffusion into a bounded space albeit with an off-center starting position. Let's say you upend a test tube of xenon gas into one end of an empty shoebox - when the individual atoms diffuse into the air within the box, the distribution doesnt seem like it would be a bell curve, because a lot of them would diffuse in the obvious direction.
That's all I was suggesting - the wording evoking a bell curve of positions can seem a little imprecise, depending on how you picture it, and if/how the space is bounded, so I thought a slightly more generalized wording might help. What that wording should be, i'm not exactly sure. 🙃
Anyway, cheers ... I really enjoy your content. +1 😄👍
Yes, I am assuming that there are no boundaries to where the particles can be. Otherwise, the distribution can't be a Bell Curve, because the tails of the Bell Curve extend to infinity in both directions, without ever reaching zero.
First
+
Second
Third.
69 comments nice
Stunning!!! This channel desperately needs P r o m o s m!!
I get the fact that the immersed particles can be much larger than the fluid molecules, but surely there has to be a limit? It always bothered me that even the smallest speck of dust under a light microscope would be enormously bigger than a water molecule.
Is gausian pronounced "gosian"? I've been saying it as "gawsian".
I'm pretty sure that brownian motion is a bowel movement