Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microcanonical work and fluctuation relations for an open system: An
  exactly solvable model   We calculate the probability distribution of work for an exactly solvable
model of a system interacting with its environment. The system of interest is a
harmonic oscillator with a time dependent control parameter, the environment is
modeled by $N$ independent harmonic oscillators with arbitrary frequencies, and
the system-environment coupling is bilinear and not necessarily weak. The
initial conditions of the combined system and environment are sampled from a
microcanonical distribution and the system is driven out of equilibrium by
changing the control parameter according to a prescribed protocol. In the limit
of infinitely large environment, i.e. $N \rightarrow \infty$, we recover the
nonequilibrium work relation and Crooks's fluctuation relation. Moreover, the
microcanonical Crooks relation is verified for finite environments. Finally, we
show the equivalence of multi-time correlation functions of the system in the
infinite environment limit for canonical and microcanonical ensembles.

33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
18
The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga