Quantitative Bounds on the Rate of Approach to Equilibrium for some One-Dimensional Stochastic Non-Linear Schrödinger Equations

2017/12/27 by Eric A. Carlen, Carlen, Eric A., Jürg Fröhlich +5
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Biology Tumor Growth #Mathematical Physics (math-ph) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1712.09588

openalex publication_date 2017/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish quantitative bounds on the rate of approach to equilibrium for a system with infinitely many degrees of freedom evolving according to a one-dimensional focusing nonlinear Schrödinger equation with diffusive forcing. Equilibrium is described by a generalized grand canonical ensemble. Our analysis also applies to the easier case of defocusing nonlinearities

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