2012/04/29 by M. I. Dykman, Ira B. Schwartz, I. B. Schwartz · 9 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Dissipation #Economics #Environmental science #Nonlinear Dynamics and Pattern Formation #Physics #Thermodynamics #cond-mat.mes-hall #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.86.031145
published in Physical Review E 86(3), 031145 (American Physical Society) · 9 pages
arxiv created 2012/04/29 · openalex publication_date 2012/09/28 · arxiv updated 2015/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the probability distribution and the escape rate in systems with delayed dissipation that comes from the coupling to a thermal bath. To logarithmic accuracy in the fluctuation intensity, the problem is reduced to a variational problem. It describes the most probable fluctuational paths, which are given by acausal equations due to the delay. In thermal equilibrium, the most probable path passing through a remote state has time-reversal symmetry, even though one cannot uniquely define a path that starts from a state with given system coordinate and momentum. The corrections to the distribution and the escape activation energy for small delay and small noise correlation time are obtained in explicit form.