Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Gibbs Paradox and the Physical Criteria for the Indistinguishability
  of Identical Particles   Gibbs paradox in the context of statistical mechanics addresses the issue of
additivity of entropy of mixing gases. The usual discussion attributes the
paradoxical situation to classical distinguishability of identical particles
and credits quantum theory for enabling indistinguishability of identical
particles to solve the problem. We argue that indistinguishability of identical
particles is already a feature in classical mechanics and this is clearly
brought out when the problem is treated in the language of information and
associated entropy. We pinpoint the physical criteria for indistinguishability
that is crucial for the treatment of the Gibbs' problem and the consistency of
its solution with conventional thermodynamics. Quantum mechanics provides a
quantitative criterion, not possible in the classical picture, for the degree
of indistinguishability in terms of visibility of quantum interference, or
overlap of the states as pointed out by von Neumann, thereby endowing the
entropy expression with mathematical continuity and physical reasonableness.

0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics