Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium dynamics in the quantum Brownian oscillator and the
  second law of thermodynamics   We initially prepare a quantum linear oscillator weakly coupled to a bath in
equilibrium at an arbitrary temperature. We disturb this system by varying a
Hamiltonian parameter of the coupled oscillator, namely, either its spring
constant or mass according to an arbitrary but pre-determined protocol in order
to perform external work on it. We then derive a closed expression for the
reduced density operator of the coupled oscillator along this non-equilibrium
process as well as the exact expression pertaining to the corresponding
quasi-static process. This immediately allows us to analytically discuss the
second law of thermodynamics for non-equilibrium processes. Then we derive a
Clausius inequality and obtain its validity supporting the second law, as a
consistent generalization of the Clausius equality valid for the quasi-static
counterpart, introduced in [1].

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The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ