2014/01/22 by Hernán Larralde, Larralde, Hernán, David P. Sanders +2
Mathematics · Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Neural dynamics and brain function #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.MP #math.PR #nlin.SI #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1401.5526
9 pages, 4 figures
arxiv created 2014/01/22 · openalex publication_date 2014/01/22 · arxiv updated 2014/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that coupling together two closed thermodynamic systems that independently attain equilibrium may give rise to a nonequilibrium stationary state (NESS) with a persistent, non-vanishing current. We study a simple example that is exactly soluble, consisting of random walkers with different biases towards a reflecting boundary, modelling, for example, Brownian particles with different charge states in an electric field. We obtain exact analytical expressions for the (generating functions of) concentrations and currents in the NESS for this model, and exhibit the main features by numerical simulation.