Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal-entropy-production-rate nonlinear quantum dynamics compatible
  with second law, reciprocity, fluctuation-dissipation, and time-energy
  uncertainty relations   In view of the recent quest for well-behaved nonlinear extensions of the
traditional Schroedinger-von Neumann unitary dynamics that could provide
fundamental explanations of recent experimental evidence of loss of quantum
coherence at the microscopic level, in this paper, together with a review of
the general features of the nonlinear quantum (thermo)dynamics I proposed in a
series of papers [see references in G.P. Beretta, Found.Phys. 17, 365 (1987)],
I show its exact equivalence with the maximal-entropy-production
variational-principle formulation recently derived in S.
Gheorghiu-Svirschevski, Phys.Rev. A 63, 022105 (2001). In addition, based on
the formalism of general interest I developed for the analysis of composite
systems, I show how the variational derivation can be extended to the case of a
composite system to obtain the general form of my equation of motion, that
turns out to be consistent with the demanding requirements of strong
separability. Moreover, I propose a new intriguing fundamental ansatz: that the
time evolution along the direction of steepest entropy ascent unfolds at the
fastest rate compatible with the time-energy Heisenberg uncertainty relation.
This ansatz provides a possible well-behaved general closure of the nonlinear
dynamics, compatible with the nontrivial requirements of strong separability,
and with no need of new physical constants. In any case, the time-energy
uncertainty relation provides lower bounds to the internal-relaxation-time
functionals and, therefore, upper bounds to the rate of entropy production.

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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th