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- W3106289919 abstract "We study the approach to equilibrium, described by a Gibbs measure, for a system on a d-dimensional torus evolving according to a stochastic nonlinear Schrödinger equation (SNLS) with a high frequency truncation. We prove exponential approach to the truncated Gibbs measure both for the focusing and defocusing cases when the dynamics is constrained via suitable boundary conditions to regions of the Fourier space where the Hamiltonian is convex. Our method is based on establishing a spectral gap for the non self-adjoint Fokker-Planck operator governing the time evolution of the measure, which is uniform in the frequency truncation N. The limit N →∞ is discussed." @default.
- W3106289919 created "2020-11-23" @default.
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- W3106289919 date "2013-01-20" @default.
- W3106289919 modified "2023-09-30" @default.
- W3106289919 title "Approach to Equilibrium for the Stochastic NLS" @default.
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- W3106289919 doi "https://doi.org/10.1007/s00220-012-1632-7" @default.
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