2014/09/17 by Ronald F. Fox, Fox, Ronald F. · 3 citations
Earth and Planetary Sciences · Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Computer science #FOS: Physical sciences #Markov process #Material Dynamics and Properties #Mathematical analysis #Mathematics #Path (computing) #Path integral formulation #Phase (matter) #Phase space #Physics #Quantum Physics (quant-ph) #Quantum mechanics #Space (punctuation) #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Statistics #cond-mat.stat-mech #nanoparticles nucleation surface interactions #quant-ph
paper · pdf · doi:10.48550/arxiv.1409.5712
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2014/09/17 · arxiv created 2014/09/27 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
In this paper, a theory for systems in contact with a thermal reservoir is developed. We call such systems "thermostated systems." Interest in these systems has been vigorous for about the last 20 years and is illustrated by the Crooks theorem and the Jarzinski equality, two results for the description of systems in full phase space where all coordinates and momenta may be followed through time. These fundamental results follow from the behavior of Markovian systems in phase space for which path integral expressions can be derived from the Smoluchowski equation valid for Markovian systems.