2007/08/31 by Christian Maes, Karel Netočný, Karel Netocny +1 · 133 citations
Chemistry · Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Antisymmetric relation #Chemistry #Entropy (arrow of time) #Entropy production #Mathematical physics #Neural dynamics and brain function #Physics #Statistical physics #Steady state (chemistry) #Thermal equilibrium #Thermal fluctuations #Thermodynamic equilibrium #Thermodynamics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1016/j.physa.2008.01.097
published in Physica A Statistical Mechanics and its Applications 387(12), 2675-2689 (Elsevier BV) · rewritten version
arxiv created 2007/11/09 · openalex publication_date 2008/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider overdamped diffusion processes driven out of thermal equilibrium and we analyze their dynamical steady fluctuations. We discuss the thermodynamic interpretation of the joint fluctuations of occupation times and currents; they incorporate respectively the time-symmetric and the time-antisymmetric sector of the fluctuations. We highlight the canonical structure of the joint fluctuations. The novel concept of traffic complements the entropy production for the study of the occupation statistics. We explain how the occupation and current fluctuations get mutually coupled out of equilibrium. Their decoupling close-to-equilibrium explains the validity of entropy production principles.