2007/03/31 by Wojciech De Roeck · 19 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Entropy (arrow of time) #Entropy production #Fluctuation theorem #Hamiltonian (control theory) #Master equation #Mathematics #Mesoscopic physics #Non-equilibrium thermodynamics #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1016/j.crhy.2007.05.014
published in Comptes Rendus Physique 8(5-6), 674-683 (Elsevier BV) · Conference Proceedings (Brussels, march 2006), 10 pages, to appear in Comptes rendus - Physique
arxiv created 2007/05/24 · openalex publication_date 2007/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Quantum extensions of the Gallavotti–Cohen fluctuation theorem (FT) for the entropy production have been discussed by several authors. There is a practical gap between microscopic forms of FT and mesoscopic (i.e. not purely Hamiltonian) forms for open systems. In a microscopic setup, it is easy to state and to prove FT. In a mesoscopic setup, it is difficult to identify fluctuations of the entropy production. (This difficulty is absent in the classical case.) We discuss a particular mesoscopic model: a Lindblad master equation, in which we state FT and, more importantly, connect it rigorously with the underlying microscopic FT. We also remark that FT is satisfied by the Lesovik–Levitov formula for statistics of charge transport.