Teach Yourself Statistical Mechanics In One Video
ฝัง
- เผยแพร่เมื่อ 5 ส.ค. 2024
- #Thermodynamics #Entropy #Boltzmann
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 - Intro
02:20 - Macrostates vs Microstates
04:23 - Derive Boltzmann Distribution
13:11 - Boltzmann Entropy
17:50 - Proving 0th Law of Thermodynamics
20:56 - The Grand Canonical Ensemble
28:40 - Applications of Partition Function
37:08 - Gibbs Entropy
40:05 - Proving 3rd Law of Thermodynamics
40:58 - Proving 2nd Law of Thermodynamics
45:57 - Proving 1st Law of Thermodynamics
50:07 - Summary
(See an updated version of this video : • Teach Yourself Statist... )
In this video we give a complete introduction to the foundations of statistical mechanics.
We are going to examine the physics of macroscopic systems. It is the physics used to describe systems with number of particles on the order of 10^23, the Avogadro constant.
With such numerous degrees of freedom, keeping track of the motion of each individual particle becomes untenable, one is therefore forced to combine the use of the laws of mechanics with statistics, to describe the averages and aggregates of physical observables.
And so statistical mechanics was born. At the heart of this subject lies the partition function, which carries all information concerning a macroscopic system in thermal equilibrium. This is today’s topic.
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This video felt like a gift
Excellent high-level review of a semesters class in Statistical Physics.
Excellent derivations connecting micro to the macro
Studying for my SM final now, this is very helpful 🙏
beautiful presentation. Quote from Marx attracted my curiosity. Very nice.
T H A N K YOU KIND PERSON
Great video. Can you recommend a book that deals with the topic in a similar way and at a similar level?
You could try this set of lecture notes from Rochester www.pas.rochester.edu/~stte/phy418S11/lectures.html
and "Statistical Mechanics" by K. Huang as reference.
Hope this is helpful; the materials I use is actually digested from many books and articles, so it's hard to pin it down to one book...
15:51
6:15 - What do you mean "the number of ways a system could be in the microstate psi i"? Isn't a given microstate unique? Can't it only be in a microstate in one way?
while the system is in psi "i", its environment could be in many different states; these are the number of ways psi "i" could occur.
@@physicsdaemon great thank you. i think i understand classical statistical mechanics, but my exam also covers quantum statistical mechanics. do you know any good resources on the subject? as simple as possible haha, im not a genius or anything. thank again for the prompt response and great video :)
@@cowgomoo444 try Kerson Huang's "Statistical Mechanics"; there's a chapter on quantum statistical mechanics. You can just read that chapter if you are already familiar with the basics of stat mech.
@@physicsdaemon awesome thank you. i will check that out. i am reading through the notes from rochester that you posted in another reply. theyre fantastic as well. its always nice to see a content creator interact with his viewerbase. keep it up man, you're doing a great job.
1:25
by quoting marx you've become the most based physicist there is :)
why are people mad at quoting karl marx lol
they mad cause red scare propaganda is still effective even to this day
Lol.. I love comments like this from people who did not experience living in desilusional regime based on that "bad boys" ideology.. you may experience it once.. haha enjoy
It did strike me as a bit humorous since the quote is about there being no shortcuts to the hard work of understanding physics, and Marx wasn't a physicist, so it sort of implies he abandoned the process when no shortcut could be found. If Mark Twain wrote the same thing it would be easier to see the humor in it I guess but, unlike Twain, Marx is a polarizing figure since so many people associate him with Stalinism.
@@mrmadmaxalot it isn't just because his 'association with stalinism', Marxism is the most dangerous and prevalent threat to the current liberal capitalist status quo that's totally working so well and not collapsing at all, it wouldn't be too ludicrous of a stretch to assume that those in power because of the current mode of production would like to stay in power and as such would want to eliminate resistance by means of influencing the popular narrative and demonizing Marxism right? I'm not saying the history of communism and socialism is without fault nor am I defending stalin in any way, I just think the violent rejection of communist ideas in society goes deeper than 'gommunism caused a bajilion deaths'
love the karl marx quote! don't listen to the losers
It would be fine if karl marx a honourable or at least a scientist in this context, but this is something else...
are historians and economists not scientists or 'honourable' in your eyes? :)
Ironically Marx was notoriously bad at mathematics and didn't understand calculus...
ok
It seems like you had a point you wanted to make?
He didn't understand economics, either.
Pretty decent covering of basics. You reached certain level of knowledge of the theory. Unless like in good theoretical physicists papers, experiments on the field of sociology and social engeneering, based on uthopic ideas of some desilusional mind lead to disaster. That is why Marx is conssidered bad boy in all countries that experienced his "ideologic influence". Maybe becouse unlike in physics he creates constructs based on assumptions based on assumptions etc. without any glimpse of experiment. And after all some crazy russian and many of his followers take all manylayered concept of nonsenses to put it in action. Lol.. I wish you all sympatizants to experience such a regime.. you may speak little less riddiculous afterwards.
Good video except for the Marx quote!
13:25