Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decay of Information for the Kac Evolution   We consider a system of $M$ particles in contact with a heat reservoir of
$N\gg M$ particles. The evolution in the system and the reservoir, together
with their interaction, are modeled via the Kac's Master Equation. We chose the
initial distribution with total energy $N+M$ and show that if the reservoir is
initially in equilibrium, that is if the initial distribution depends only on
the energy of the particle in the reservoir, then the entropy of the system
decay exponentially to a very small value. We base our proof on a similar
property for the Information. A similar argument allows us to greatly simplify
the proof of the main result in [2].

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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an