All Questions
Tagged with specific-reference statistical-mechanics
22
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What is the diffusivity of colloidal Formazine in water?
I have synthesized Foramzine in an aqueous solution (turbidity = 4000 NTU), and will be further diluting it. I would like to know the diffusion coefficient (diffusivity/mass diffusivity) of colloidal ...
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Reference for critical exponents in a non standard derivation
I'm currently preparing an individual project about Landau theory of phase transitions. I think I understand well enough the standard procedure:
expand the free energy as $F(P, T, \phi) = F_0(P, T) + ...
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Is there a known closed-form expression for the susceptibility of the 2-D Ising model at $B = 0$?
The Onsager solution for the 2-D Ising model allows us to find (among other things) complicated expressions for the internal energy of the system (in the thermodynamic limit and in zero magnetic field)...
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Maxwell distribution solely using the Stosszahlansatz and geometric transformations?
Background
To quote Wikipedia:
The assumption of molecular chaos is the key ingredient that allows
proceeding from the BBGKY hierarchy to Boltzmann's equation, by
reducing the 2-particle distribution ...
- 1,389
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Frederic Schuller lecture notes
I saw that Frederic Schuller gave a lecture on statistical physics almost 10 years ago. Does anyone have the corresponding lecture notes? Unfortunately, the link
https://eswirdeinskriptgeben.wordpress....
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Help with Unusual Mean Correlation
I've been working on a variation of the Ising Model that tries to account for quantum fluctuations in the lattice. After doing a some calculations I calculated the mean correlation $<\sigma_i \...
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1
answer
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Validity of Boltzmanns Equation and $H$-function theorem?
A while ago I came across a resource (which I have forgotten) on the validity of Boltzmann's equation. It talked about the fact that the Boltzmann's equation is valid at the extrema of the $H$-...
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Origin of the replica trick
The replica trick consists of the formula:
$$\overline{\log Z}=\lim_{n\rightarrow0}\frac{1}{n}\log\overline{Z^{n}} \tag{1}$$
where $Z$ is the partition function of a system and the overbar denotes ...
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Translated publications of Boltzmann
I have been looking for Boltzmann's papers (in english) and had no luck. Anyone knows if they were translated at the first place, and if yes where to find them?
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Time homogeneous Markov chain for Axelrod's model
I am reading paper Axelrod's model of dissemination of culture , I am unable to understand the transition probabilities of time homogeneous Markov chain for this model. Can some one please explain it ...
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Minimum connectivity required for mean field to be a good approximation?
In spin models, it is known that mean field becomes a better approximation as the connectivity increases. My question is: Is there an estimate for the threshold connectivity (as a function of the ...
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Pathria's "Statistical Mechanics" first edition [closed]
Does anyone know where I could find and purchase the book "Statistical Mechanics" by R. Pathria, in 1st edition (the 2nd and the 3rd are readily available, but I really need the first). I believe the ...
user3657
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2
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254
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Bolzmann entropy [duplicate]
The Boltzmann entropy is defined as the logarithm of the phase space volume
(E). Is there a reference, book, paper which shows where this definition comes and how it is equal to the phase space ...
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524
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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, "...
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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:
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