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...
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?
@@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.
Typically, if you assumed that some kind of quasi-static equilibrium is reached : you can divide the system into sufficiently small parts, such that each part has uniform properties(like pressure, temperature etc). Then each of these parts can be described by the Boltzmann distribution, if they contain sufficient number of particles for statistics to work. The values for the various thermodynamic quantities can be different in different parts; resulting in a gradient. For long range forces that cannot be shielded, like gravity; the boundary conditions become important. Think of a ball of gas held together by its own gravity, like a star; the spherical boundary of the star becomes important in the calculation of its equation of state. But the general approach mentioned will still work.
@@iridium1118 Here's a simple example : calculating the variation of pressure with altitude in the Earth's atmosphere. The gravitational field in this case is uniform, and long range; with the Earth's mass as the source for gravity. This field is just like a chemical potential that varies with height(gravitational potential energy). In calculating the pressure, one usually assumed the ideal gas law applies at each location in the gas. This is already the result of the Boltzmann distribution(we have derived this in our stat. mech. videos). See this wiki entry : en.wikipedia.org/wiki/Barometric_formula
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'
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.
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.
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...
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.
How do you compute the pressure gradient in a system with a long range force?
Typically, if you assumed that some kind of quasi-static equilibrium is reached : you can divide the system into sufficiently small parts, such that each part has uniform properties(like pressure, temperature etc). Then each of these parts can be described by the Boltzmann distribution, if they contain sufficient number of particles for statistics to work. The values for the various thermodynamic quantities can be different in different parts; resulting in a gradient. For long range forces that cannot be shielded, like gravity; the boundary conditions become important. Think of a ball of gas held together by its own gravity, like a star; the spherical boundary of the star becomes important in the calculation of its equation of state. But the general approach mentioned will still work.
@@physicsdaemon thanks. Is there a search term for understanding the nuts and bolts of this method?
@@iridium1118 Here's a simple example : calculating the variation of pressure with altitude in the Earth's atmosphere. The gravitational field in this case is uniform, and long range; with the Earth's mass as the source for gravity. This field is just like a chemical potential that varies with height(gravitational potential energy). In calculating the pressure, one usually assumed the ideal gas law applies at each location in the gas. This is already the result of the Boltzmann distribution(we have derived this in our stat. mech. videos). See this wiki entry : en.wikipedia.org/wiki/Barometric_formula
What is this God-sent?
T H A N K YOU KIND PERSON
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'
15:51
13:25
1:25
by quoting marx you've become the most based physicist there is :)
love the karl marx quote! don't listen to the losers
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.
we was a reporter, what do you expect
I don't think that philosophy guy without conducting experiment is not eligible to claim anything as a quote. A shame left in human history
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? :)
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!