Exponential relaxation to equilibrium for a one-dimensional focusing non-linear Schrödinger equation with noise

DOI10.1007/s00220-015-2511-9zbMath1341.35148arXiv1409.2327OpenAlexW1705585130MaRDI QIDQ5962912

Eric Anders Carlen, Joel L. Lebowitz, Jürg Fröhlich

Publication date: 25 February 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2327

zbMATH Keywords

stochastic partial differential equationsnonlinear Schrödinger equationsmodel quantum field theories

Mathematics Subject Classification ID

Model quantum field theories (81T10) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (11)

Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations ⋮ Gibbs Measure for the Focusing Fractional NLS on the Torus ⋮ Long Time Behavior of Gross--Pitaevskii Equation at Positive Temperature ⋮ On uniqueness of measure-valued solutions to Liouville's equation of Hamiltonian PDEs ⋮ The mean-field limit of quantum Bose gases at positive temperature ⋮ A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation ⋮ A stochastic thermalization of the discrete nonlinear Schrödinger equation ⋮ The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures ⋮ Quantitative bounds on the rate of approach to equilibrium for some one-dimensional stochastic nonlinear Schrödinger equations ⋮ Invariance of white noise for KdV on the line ⋮ Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus

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