2011/04/27 by Hiroshi Matsuoka, Matsuoka, Hiroshi · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.mes-hall #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.1104.5190
31 pages. Sec.III, Sec.IV, and Sec.IX have been substantially revised. The results remain mainly intact
openalex publication_date 2011/04/27 · arxiv created 2012/02/04 · arxiv updated 2012/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend a classical relation by Crooks to quantum systems and show that it unifies the Crooks transient fluctuation theorem and the Kawasaki non-linear response relation, which leads to the standard linear response theory. We also show that the Green-Kubo formula for a system in a steady state driven by a time-independent driving force is always expressed in terms of the symmetrized correlation function for a quantity induced by the driving force and that a generalized entropy for systems in steady heat conduction states satisfies extensions of the Clausius and the Gibbs relations exactly.