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certik / theoretical-physics

Source code of the Theoretical Physics Reference online book
https://theoretical-physics.com
MIT License
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Stat Mech Notes? #21

Open emptymalei opened 10 years ago

emptymalei commented 10 years ago

Thank you for this great repo. I noticed that there is no statistical mechanics. Is there a plan for it?

certik commented 10 years ago

Hi @emptymalei --- it's on my todo list, I have some notes written up on in my notebook, but I need to convert it to .rst. Would you like to collaborate on that?

mike4999 commented 10 years ago

Can anyone help out? im not strong in stat phy, but i can type :)

On Fri, Feb 21, 2014 at 9:00 PM, Ondøej Èertík notifications@github.comwrote:

Hi @emptymalei https://github.com/emptymalei --- it's on my todo list, I have some notes written up on in my notebook, but I need to convert it to .rst. Would you like to collaborate on that?

Reply to this email directly or view it on GitHubhttps://github.com/certik/theoretical-physics/issues/21#issuecomment-35755854 .

M. O. ATAMBO mikeat4999@gmail.com M Phil. student, computational material science group Chepkoilel university college, Department of Physics, Eldoret, Kenya, ps.

Please avoid sending me Word or PowerPoint attachments. See http://www.gnu.org/philosophy/no-word-attachments.html http://www.gnu.org/philosophy/no-word-attachments.html "...Microsoft can (and did recently in Kenya and Brazil) have local police enforce laws that prohibit students from studying the code, prohibit entrepeneurs starting new companies, and prohibit professionals offering their services. Please don't give them your support..."

certik commented 10 years ago

I'll try to start writing it up and you can then review it and provide suggestions. Statistical mechanics is quite difficult, so despite taking many courses, I wasn't sure how to best write it up in some concise manner, without duplicating thick books about it. But I have some ideas now. I'll keep you guys posted. Thanks for the interest!

emptymalei commented 10 years ago

@certik I am writing down my lecture notes on github but I would like to read your notes and learn. And sure I can type too. :)

certik commented 10 years ago

@emptymalei --- very nice notes! Maybe you can help me with the CSS styles to make theoretical-physics.net look more cool. Let me try to put my notes up in the next few days and I'll post a link to this issue so that you can have a look and we can try to improve it together.

emptymalei commented 10 years ago

@certik Thanks. I can do styling things but maybe after my exam in next week. Looking forward to your notes. :+1:

certik commented 8 years ago

@emptymalei, I've finally started to write up my notes for thermodynamics and statistical mechanics, see #70. I'll probably merge it soon, so that you can see it online, and then we can improve upon it.

emptymalei commented 8 years ago

@certik wow cool. I would love to read it.

certik commented 8 years ago

Here you go: http://www.theoretical-physics.net/dev/statmech/main.html

It should be all correct, except this part here where I have a factor of 2 mistake in the derivation, which I'll fix tonight (update: fixed in 22ac70fa776e35bade3fb3642251536ec98eb7fb).

Let me know what you think and which other things you would like to have there. This is just the beginning.

emptymalei commented 8 years ago

@certik Just read through it. It's very different from the approach that I was educated. I'll read it again carefully to learn more about your approach. For the first time, I know that Legendre transform could give us eight different function (2^3 for three variables?) here. Thx.

My observations at this stage:

  1. Some equal sign problem in some of the equations,
  2. more about Legendre transform in math section (?)

I made a diagram which explains the relations between the thermodynamics potentials, not sure if it's gonna help.

certik commented 8 years ago

@emptymalei thanks for the feedback. This should be a standard approach, I am not inventing anything here, just summarizing the standard procedures, in a systematic way. Yes, I need to put there more explanations. Right now I am concentrating on making sure that all equations are correct. They should be now.

As to the Legendre transform, it's 1 initial function U, 3 functions with one variable transformed, 3 functions with two variable transformed and 1 function with three variable transformed, total of 1+3+3+1=8. If we had 4 variables, it would be 1 + 4 + 6 + 4 + 1 = 16 functions. So you might be right that it is 2^n options for n variables.