Maxwell-Boltzmann distribution
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- Опубликовано: 17 май 2024
- Entropy and the Maxwell-Boltzmann velocity distribution. Also discusses why this is different than the Bose-Einstein and Fermi-Dirac energy distributions for quantum particles. My Patreon page is at / eugenek
00:00 Maxwell-Boltzmann distribution
02:45 Higher Temperatures
04:45 Quantum Systems
07:15 Conclusion 
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Consistently making the best physics videos in all of youtube
Thanks for the compliment.
Well said!
Completely agree @Quantum Leap, I just wish he released more videos, although If increasing the frequency lowers quality, I will take what I can get.
Best I've ever seen.
@@EugeneKhutoryansky it’s a scientific fact
nice! my favourite fact is that it's actually chi distribution with three degrees of freedom. that is, if you take vx, vy and vz from a Gaussian distribution, the magnitude of the total velocity is root of sum of squares of these.
I’ve been watching your videos for a while and I am really impressed how you make sense of deep physics concepts! Please never stop making videos.
Thanks for the compliment. More videos are on their way.
And also the music you put in videos makes my brain dive into deep philosophy and as well as imagination , this makes me never forget any concept.
@@VYOM_AGRAWAL His videos gives my heart and soul a very deep soothing spiritual impact
literally the best youtube channel for physical visualization
Thanks for the compliment.
You always blow my mind, Eugene! Thank you for being borned lol!
Thanks.
You are amazing
Thanks for the compliment.
These are the gold standard in the "fundamental physics concepts explained" genre of videos.
Thank you. You've been responsible for helping me cement my understanding of so many different areas of physics
Thanks for the compliment. I am glad my videos have been helpful.
Wherever you upload a video it just makes me happy thank you 🥺 never stop it please
I am glad you like my videos. More videos are on their way.
This is the only channel which I have ever been a patreon supporter. Thank you Eugene for always making me proud to be one. My only wish is that there were ten of you producing videos instead of just one.
Thank you very much for your support on Patreon. I very much appreciate it. I am glad that you like my videos.
Continuously I eagerly wait for such videos. The knowledge which I gain from here is much precious to me and always helps me to understand the concept in a more convenient way. Only due to you I clearly visualise what I have ever studied in text books. Really much helpful videos to understand higher academics. Thanks a lot...
Thanks for the compliments. I am glad that my videos are helpful.
Eugene, the background music ROCKS! :)
Greatest service to real science
Thanks for the compliment.
Mindblowing. Thanks for sharing 🙌
Thanks.
A fan of all your animations 💙💙
I am glad you like my animations. Thanks.
Thanks because you always make vedioes about the fundemental physics they are teaching us
Awesome Eugene nicely explained
Really you are unprecedented
Thanks for the compliment.
Your work is so good Eugene
Thanks for the compliment.
Dude. You’re just my hero. As a human who is only capable of conceiving in 3 dimensions, you’re the only guy out there actually - consistently and with intention - creating these 3d animations which *ground* fundamental physics concepts in a way that isn’t immediately obvious from studying pure equations. You understand what the equations actually mean and you show us what they mean. You show us what the original architect was thinking, in a way the original architect could never have done themselves due the technological limitations of their era.
Thanks for the compliments!!!
Thank you very much, Eugene!
Entropy is a concept that I believed I could never comprehend and truly grasp for many years. Without the assistance of your incredible videos, I would probably have never understood it.
Thanks. I am glad my videos have been helpful.
Dude. a) your content is top tier. b) thank you for your time in providing this information visually. c) binging your channel immediately, so “not, not a thank you for the first thank you” 😉
I am glad you are enjoying my videos. Thanks!
Excellent clip.... A big THANK to you...
I am glad you liked my video.
Thanks. Another excellent video in the entropy series.
Thanks.
you are THE best dear Eugene. Thanks
Thanks for the compliment.
Thank you for the lesson.
Thanks as always for the videos!
My pleasure.
thank you so much for teaching better than most of the universities for free
Thanks.
Hi Eugene Did you watch the last Veritasium vid? It shows a clip of your videos about electricity
Fantastic the content just reached the heart
Thanks.
Love these videos ❤️❤️❤️
Thanks.
Hello Eugene, as always I am greatly appreciative of these videos you provide us for free. If I may make a request, I would love to see a video from you explaining the shapes and interactions of electron subshells that occur in chemical bonding. I know this is more applicable to the field of chemistry, but this is one particular topic of the physical sciences that I have always struggled to visualize. Visualization seems to be your specialty, and I believe you could help it finally "click" for me, as you have with various other topics in the past; assuming you're knowledgeable enough about said topic to expound on it in the first place. Thank you, I'm a big fan, keep up the good work!
I will add that to my list of topics for future videos. Thanks.
Beautiful visualisation of concept
Thanks. I am glad you liked my visualization.
Amazing tutorial thanks for making this
Thanks. I am glad you liked it.
I love this channel
Thanks.
So cool! Love this.
Thanks.
Hi Eugene! So, the reason a quantum system has a thermodynamic distribution different from a classical system is also related to the idea of a negative Kelvin scale, correct? This means that when we add energy to the system, causing it to become more ordered, we say it has a negative temperature. However, at this point, it no longer obeys the Maxwell-Boltzmann distribution, right?
Thank you Eugene
You are welcome and thanks.
The idea of radioactive decay at absolute zero came to my mind today. My first idea "wouldn't it stop?" was the sign of a misunderstanding of the concepts.
- as a video idea
I think the decay wouldn't stop .... The reason which is coming to my mind is that ... Half life of elements is independent of temperature.... Isn't it?
@@salmaniqbal6091 exactly. but I thought of temperature as if it put the entire atom in the excited state
But those graphics already! Fabulous 👌
Thanks. I am glad you like my animations.
Absolutely Fabulous 🌞 💐
Thanks!!!
It goes straight from rock music to für Elise lmao
Fantastic!
Thanks.
Best explanation
Thanks for the compliment.
Did you hear about Lt. Col. Thomas Bearden? ( Rest in peace by the way ) this reminds of a bit of what he was talking about,
maybe some videos soon around the idea of scalar electromagnetics?
Beautiful!
Thanks!
Could you pleaseee make a video on semiconductors and diodes ?
I have a video on that at ruclips.net/video/hrpPKCDLRN0/видео.html
What's you guys top 10 science communicators my feed is getting a lil dry
Not me accidentally zoning out and vibing to Für elise in the background lol.
Excellent video as always! I have a question, why are the particles in a quantum system indistinguishable compared to the classic scenario? I could imagine that in a classic scenario if the particles have equal mass and shape. Would the particles also be indistinguishable? Thanks for the great video!
The word "indistinguishable" means more than that. I explain this in my video on the Pauli Exclusion Principle at ruclips.net/video/Zlp2GQ3OLeE/видео.html
Wow, very interesting, thanks
Thanks.
When the quantum section started I was like, I already don't know how you count micro states in classical systems! So like is each possible set of positions and velocities for all the particles its own micro state? There's a big infinitely many, do you have to integrate over all of them somehow?
in quantum you put everything in a finite box and each state has a fix volume in phase space (h**3)...so you sum over them.
Thank you! I wish my PChem instructor was a clear as your videos are!
Thanks.
Yes I'm study in Konale's class I like physically and mentally
First few seconds of the video is played most .
I thought I missed something about "few particles are moving" .
So I again started from the beginning 😃.
Cool videos bro 🤜
Thanks.
How many awards has this channel won over the years? All, I would presume.
I tried to follow one of the green particles as it bounced and ricochet throughout the box. Graphic representations have always been mesmerizing as well. Are we changing these results just by observing this video?😁
Thanks for the compliments. Though, I haven't won any awards for this channel. As Mark Twain said, "It is better to deserve honors and not have them than to have them and not deserve them."
Thank you
You're welcome and thanks.
💜💜All your animation videos are very helpful to understand concepts effectively. Could you make videos about equations of antennas and waveguides.
Thanks. Antennas are already on my list of topics for future videos. I will add wave guides to the list. Thanks.
S = k log W, the greatest equation in all of science.
It's the hardest to understand, compared with E=mc^2, F=ma, H:psi = E*psi, and so on....
How is that the greatest?
@@freemanskush7910 It's the linchpin between the macro and micro universe and the basis of pretty much all physics. It dictates the arrow of time; meaning tomorrow happens after today. It is why a waterfall doesn't fall up, it's why the cup of tea on your desk cools, it's why our engines turn and computers calculate, it explains why we get old and sick and why everything we own will fall to dust, it tells us every sun will die and it determines the fate of the entire universe.
The man who proposed it was roundly mocked by his peers. The universe operates on certainty like clockwork not chance he was told and anyway, unless the universe was quantised it could never be true they argued very reasonably. He took his own life not knowing that Einstein had recently solved the Ultra-violet Catastrophe which had plagued science for decades and in doing so had determined that the universe was quantised. He requested the equation be engraved on his tombstone. It's now considered the truest statement in all science.
Cool. Thx!
Thanks.
I don't know why, but that graph of particles vs velocity looks like an audio visualizer. Like the one you see in music players.
thanks alot
You are welcome and thanks.
At 4:07, you say that a system is in thermodynamic equilibrium when it’s entropy has reached its maximum value, given the constraints.
I might remember it wrong, but I think the statement is only valid if you say that the system is isolated, that is it cannot exchange matter or energy with the environment.
In general, again if I remember correctly (15 years ago, in some course of chemistry) , it is the entropy of the system plus that of the environment that has to increase…or equivalently one can talk of the free energy ( of Gibbs, or others, depending on what the system is in contact with ) of a system (for Gibbs free energy, the environment is represented as a sink of heat and pressure, but the system is closed ) reaching a minimum
I was referring to a closed (isolated) system. In general, it is the entropy of the Universe that increases.
Can you make a video showing behind the stage to give us a glance on the content preparation especially the most loved graphics part.
I have a video on how I make my 3D animations at ruclips.net/video/6Hl5dvA88Uo/видео.html
@@EugeneKhutoryansky Am sorry I should've know about it. Thanks for your reply as always ❤️
Do you have videos about graphics o functions?
I am not sure I understand your question. I have a video on how I make my 3D animations at ruclips.net/video/6Hl5dvA88Uo/видео.html
@@EugeneKhutoryansky sorry I mean videos like this
ruclips.net/video/2DRmfxkH_VI/видео.html
This channel is like morpheus
Another super beautiful animation video ..... That Maxwell Boltzman distribution curve looked a lot like the blackbody radiation curve... Can you please tell why is there so much resemblance in Maxwell Boltzman velocity distribution at different temperatures and blackbody radiation curve at different temperatures....?
Thanks for the compliment about my video. Blackbody radiation is on my list of topics for future videos. Thanks.
Really cool! Or hot...or whatever the temperature is!
Thanks.
@@EugeneKhutoryansky 👍
great videos for learning science but removing the annoying music will be even better.
hope to see the improvement in the upcoming videos.
Интересное видео но кажется что мы только в начале понимания сущности термодинамики....хтя бы из того что можно смешивать холодное и теплое но не можем произвести обратное - разделение состояния на холодное/горячее без затраты энергии - тут легко смешать но разделять уже проблема..
about monoatomic ideal gas.
Do a video on local gauge symmetry
I will add that to my list of topics for future videos. Thanks.
Good as always. There is subtle distracting background muzak I'd elect to leave out tho . .
Hi, it was a nice animation, however, I don't see how it's a way "I've never seen", because that's pretty much how it was introduced in our physics class.
I have never seen anyone else do a real time 3D animation of the velocity of each particle. But, I might change the title.
@@EugeneKhutoryansky Fair enough, I interpreted differently but it makes sense too
Hola! Thanks
Thanks.
∆Temperature
This is really great channel what i almost know about science is from this helpfull channel....but i have question about how electron and positron can be form from photon?does this violate pauli exclusion principle? Please can u tell me
I am glad my videos are helpful. Thanks. In reply to your question, the Pauli Exclusion principle only says that "identical" particles can't be in the same quantum state. For example, two electrons can't be in the same quantum state. But, an electron and a positron can be in the same quantum state, because they are not "identical" particles.
@@EugeneKhutoryansky Thank you very much i have get what i needed to know
@@EugeneKhutoryansky Beautiful reply.... Amazing
It is a little confusing to say initially the system has a low entropy, because the system has not reached its thermodynamic equilibrium state then, whereas entropy is a state function that is defined only for equilibrium states. This system always has the same number of ways things can happen.
You can define entropy for a system not yet in equilibrium. It depends on what macro-state we use to define the entropy. In my case, the macro-state is the velocity distribution.
Thank you for explaining! Learnt a lot!@@EugeneKhutoryansky
1st comment.
You're great Eugene
Recently veritasium has used your current electricity animation in his video !! ☺️
Two people beat you by a few seconds.
@@EugeneKhutoryansky
😂😂
❤Thermodynamics
❤Eugene
Thanks.
Wow.
Am I not wrong in that someone had to write the code for this program to work, which would mean that this isn't a model of what's actuality happening but rather the person who wrote the codes interpretation of what would or should happen. No computer can produce anything on its own without human input
The code just has the laws of physics as inputs. When we write the code and set the initial conditions, we may have no idea what the outcome will be until the simulation is actually run.
Cool, but last part I couldn't understand well. That bozon qnd quantum parts. Elektron energy levels etc. maybe my English wasn't so good to understand :(
💣🔥❣️
I come for the physics, but I stay for the colored spheres.
in quantum mechanics, a perfect sphere (S=0), *can't* rotate. That is, R(theta)= 1.
That works just becouse the particles are inside a box. What about other shapes?
It works with any shape.
There is only one thing for everyone to do in this world. You look at yourself. The eye is our fall.
Great, but where is the maxwell-boltzman distribution explaining?
That is what the entire animation with the bouncing balls is about, even though I didn't mention the name.
Rocket knows everything when Spacil goes. Apply it everywhere. Aren't we one ........
Thermodynamics plz
I have a video on Thermodynamics at ruclips.net/video/GOrWy_yNBvY/видео.html
Education is from knowing that there is no knowledge. Am I interfering in all this?
i think i'm gonna have a seizure
nice vid anyways keep it going!
I am Indian
This is the perfect example of the difference between theoretical models and the true reality of the Universe.
This model presented here is for kids with a not enough developed mind.
If you don't understand what I say here ( or if you wrongly understand it ), then make the model to work for the whole real Universe comprising at the same time ( =simultaneously ) the universal real neverending micro and macro dynamics.
Let's suppose that you coudn't do it.
But even if you only try, you'll start the process of slowly-slowly understanding how in reality the Universe works.
Boltzmann Distribution
Hey Guys does this model look like it might describe the math in your lecture?
Thanks for your well produced video.
Your viewers might enjoy seeing my personal amateur science project. Sorry if it’s not a well produced video I need to do better. It might be a good visual aid that the math describes.
See linked below.
It uses a sheet of spring-like material buckled from the ends to form a Gaussian curve.
The area under the curve represents the energy in the system.
The sheet of material represents a field with the ends bounded.
Seeing the mechanical effect may takes some of the mystery of what the math for your students.
See the load verse deflection graph in the white paper found elsewhere on my RUclips channel.
ruclips.net/video/wrBsqiE0vG4/видео.htmlsi=waT8lY2iX-wJdjO3
Omg
There are decent channels out there which show this, so technically I've seen things like this before. But then again, it's not about me.
I have never seen anyone else do a real time 3D animation of the velocity of each particle. But, I might change the title.
This is the weirdest Minecraft video I’ve ever seen
hi
Hello.
K