Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-adiabatic entropy production for non-Markov dynamics   We extend the definition of non-adiabatic entropy production given for
Markovian systems in [M. Esposito and C. Van den Broeck, Phys. Rev. Lett. 104
090601, (2010)], to arbitrary non-Markov ergodic dynamics. We also introduce a
notion of stability characterizing non-Markovianity. For stable non-Markovian
systems, the non-adiabatic entropy production satisfies an integral fluctuation
theorem, leading to the second law of thermodynamics for transitions between
non-equilibrium steady-states. This quantity can also be written as a sum of
products of generalized fluxes and forces, thus being suitable for
thermodynamics. On the other hand, the generalized fluctuation-dissipation
relation also holds, clarifying that the conditions for it to be satisfied are
ergodicity and stability instead of Markovianity. We show that in spite of
being counter-intuitive, the stability criterion introduced in this work may be
violated in non-Markovian systems even if they are ergodic, leading to a
violation of the fluctuation theorem and the generalized
fluctuation-dissipation relation. Stability represents then a necessary
condition for the above properties to hold and explains why the generalized
fluctuation-dissipation relation has remained elusive in the study of
non-Markov systems exhibiting non-equilibrium steady-states.

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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: math
3
The categories of this paper are: physics