Tagged Questions
6
votes
1answer
473 views
Are there good resources explaining mean field approximation?
I am a computer science master student. In a statistical learning theory course I am taking, mean field approximation was introduced to approximately solve non-factorizable Gibbs distributions that ...
11
votes
2answers
70 views
Discussions of the axioms of AQFT
The most recent discussion of what axioms one might drop from the Wightman axioms to allow the construction of realistic models that I'm aware of is Streater, Rep. Prog. Phys. 1975 38 771-846, ...
6
votes
1answer
437 views
The equipartition theorem in momentum space
Motivated by the answers to this question on turbulence, I'm interested in an explanation and/or derivation/reference of the equipartition theorem in momentum space. To formulate it as a question:
...
6
votes
2answers
275 views
Statistical Mechanics treatment of the reaction process?
I'm searching for an at least semi-rigorous Statistical Mechanics description/treatment of a (spatially resolved) chemical reaction process of a macroscopic portion of at least two different species ...
0
votes
1answer
345 views
Deriving an Expression for Entropy
How to derive an expression for entropy in form of
$S = \ln \Omega$
from the form
$\displaystyle{S = - \sum_i \; p_i \ln p_i}$ ?
That is the last formula taken as a definition of entropy.
Just a ...
2
votes
2answers
362 views
Axiomatic statistical mechanics
Ive read a few courses on statistical mechanics, and while their textual explanations and example choices differ, the flow of information from microscopy to macroscopy seems the same, and reading ...
6
votes
2answers
315 views
Analogue of Princeton Companion to Mathematics for Physics?
I would like to know if there are compendiums much like the Princeton Companion to Mathematics for physics (especially classical physics: fluid mechanics, elasticity theory, Hamiltonian formalism of ...
7
votes
1answer
49 views
Canonical averages in a Fermi gas aka generalized Fermi-Dirac distribution
I am in the process of applying Beenakker's tunneling master equation theory of quantum dots (with some generalizations) to some problems of non-adiabatic charge pumping. As a part of this work I ...
51
votes
6answers
844 views
What are the justifying foundations of statistical mechanics without appealing to the ergodic hypothesis?
This question was listed as one of the questions in the proposal (see here), and I didn't know the answer. I don't know the ethics on blatantly stealing such a question, so if it should be deleted or ...
6
votes
1answer
328 views
Number density of LO and LA phonons as a function of temperature?
I'd like to know the how the number density of longitudinal optical (LO) and longitudinal acoustic (LA) phonons varies as a function of temperature of the material. Is there a simple expression for ...
