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Entropy production and the arrow of time

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arxiv 0904.1573 v1 pith:XJLPYLLG submitted 2009-04-09 cond-mat.stat-mech

Juan M.R. Parrondo , Christian van den Broeck , Ryoichi Kawai This is my paper · ORCID
classification cond-mat.stat-mech
keywords canonicalentropyproductionrelationshiparrowbackwardclassicalconditions
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We present an exact relationship between the entropy production and the distinguishability of a process from its time-reverse, quantified by the relative entropy between forward and backward states. The relationship is shown to remain valid for a wide family of initial conditions, such as canonical, constrained canonical, multi-canonical and grand canonical distributions, as well as both for classical and quantum systems.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bounds for Apparent Second-Law Violations in Quantum Trajectories

    quant-ph 2026-08 accept novelty 7.0 of 10

    Negative stochastic entropy production in quantum trajectories is bounded below by a sharp function of the mean completed entropy, so apparent second-law violations cannot become rarer than a universal floor.

  2. Real-time pseudo entropy and modular-Hamiltonian correlations

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Short-time real-time pseudo entropy obeys S_A(t,0)=S_A(0)-it ⟨K_A(H−⟨H⟩)⟩ + O(t²), with imaginary response from symmetrized covariance of H and K_A.

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