Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Macroscopic Determinism in Noninteracting Systems Using Large Deviation
  Theory   We consider a general system of n noninteracting identical particles which
evolve under a given dynamical law and whose initial microstates are a priori
independent. The time evolution of the n-particle average of a bounded function
on the particle microstates is then examined in the large n limit. Using the
theory of large deviations, we show that if the initial macroscopic average is
constrained to be near a given value, then the macroscopic average at a given
time converges in probability, as n goes to infinity, to a value given
explicitly in terms of a canonical expectation. Some general features of the
resulting deterministic curve are examined, particularly in regard to
continuity, symmetry, and convergence.

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The categories of this paper are: hep-ph
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int