Statistical mechanics of the nonlinear Schrödinger equation. II: Mean field approximation
From MaRDI portal
Publication:1173851
DOI10.1007/BF01023472zbMath0850.35110MaRDI QIDQ1173851
Harvey A. Rose, Eugene R. Speer, Joel L. Lebowitz
Publication date: 25 June 1992
Published in: Journal of Statistical Physics (Search for Journal in Brave)
periodic boundary conditionsGibbs measuresmean field approximationtransition pointlocal perturbationsunbounded Hamiltonians
Stability in context of PDEs (35B35) Classical equilibrium statistical mechanics (general) (82B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)
Related Items (11)
Statistical mechanics of nonlinear wave equations. IV: Cubic Schrödinger ⋮ Invariant measures for the Gross-Pitaevskii equation ⋮ Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation ⋮ Gaussian ensembles for the nonlinear schrödinger and Kdv equations ⋮ Nonequilibrium stationary state of a truncated stochastic nonlinear Schrödinger equation: Formulation and mean-field approximation ⋮ Nonequilibrium statistical behavior of nonlinear Schrödinger equations ⋮ A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory ⋮ Exponential relaxation to equilibrium for a one-dimensional focusing non-linear Schrödinger equation with noise ⋮ On normal and non-normal wave statistics implied by a canonical-microcanonical Gibbs ensemble of the truncated KdV system ⋮ The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble ⋮ A logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg–de Vries equation
Cites Work
This page was built for publication: Statistical mechanics of the nonlinear Schrödinger equation. II: Mean field approximation
