All Questions
5
questions
3
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2
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Very briefly, what is the relation/difference between classical field theory and classical thermodynamics/statistical mechanics?
This is probably not a good question, since I am at a fairly low level, but I am a little bit confused when the two concepts were described to me and it's bringing discomfort during my study.
What I ...
-3
votes
3
answers
197
views
Does the phase space exist in reality? [closed]
The concept of phase space really bothers me sometimes and the term is used across many branches of physics such as statistical mechanics, classical mechanics as well as in quantum mechanics. Does ...
7
votes
3
answers
1k
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What is the difference between Liouville's theorem and the Boltzmann transport equation?
From what I understand, Liouville's theorem is about the probability density $\rho$ of an ensemble existing in a differential volume in phase space $d\mathbf{r}d\mathbf{p}$.
So the statement for ...
0
votes
1
answer
134
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Meaning of 'Local' density in Liouville's theorem
Liouville's theorem is commonly stated as
$$\frac{d\rho}{dt} = \frac{\partial{\rho}}{\partial{t}} + [\rho, H]$$
Where, $H$ is Hamiltonian of the system, $\rho$ is the density, $[...]$ is the usual ...
4
votes
1
answer
876
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What is the difference between Non-Conservative and Dissipative?
We often hear these terms. However, they are often confused to be synonyms, but they are not.
What are the rigorous definitions of them?