Fluctuations in the thermodynamic limit of focussing cubic Schrödinger

DOI10.1023/A:1026072819239zbMath1037.82027OpenAlexW154571765MaRDI QIDQ1415476

Brian Rider

Publication date: 4 December 2003

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026072819239

zbMATH Keywords

thermodynamic limitNonlinear Schrödinger equationInvariant ensemble

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum field theory; related classical field theories (81T99) Many-body theory; quantum Hall effect (81V70) Quantum stochastic calculus (81S25) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Statistical thermodynamics (82B30)

Related Items (4)

Invariant Measures and the Soliton Resolution Conjecture ⋮ Probabilistic Methods for Discrete Nonlinear Schrödinger Equations ⋮ Invariance of white noise for KdV on the line ⋮ Discrete nonlinear Schrödinger approximation of a mixed Klein-Gordon/Fermi-Pasta-Ulam chain: modulational instability and a statistical condition for creation of thermodynamic breathers

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