Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Green-Kubo formulas with symmetrized correlation functions for quantum
  systems in steady states: the shear viscosity of a fluid in a steady shear
  flow   For a quantum system in a steady state with a constant current of heat or
particles driven by a temperature or chemical potential difference between two
reservoirs attached to the system, the fluctuation theorem for the current was
previously shown to lead to the Green-Kubo formula for the linear response
coefficient for the current expressed in terms of the symmetrized correlation
function of the current density operator. In this article, we show that for a
quantum system in a steady state with a constant rate of work done on the
system, the fluctuation theorem for a quantity induced in the system also leads
to the Green-Kubo formula expressed in terms of the symmetrized correlation
function of the induced quantity. As an example, we consider a fluid in a
steady shear flow driven by a constant velocity of a solid plate moving above
the fluid.

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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
2
The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph