On the Smoluchowski-Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field

DOI10.1016/j.spa.2016.06.008zbMath1373.60107arXiv1409.0803OpenAlexW2963387700MaRDI QIDQ347480

Michael Salins, Sandra Cerrai

Publication date: 30 November 2016

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0803

zbMATH Keywords

stochastic partial differential equationsmagnetic fieldSmoluchowski-Kramers approximationsmall mass asymptotics

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Statistical mechanics of magnetic materials (82D40)

Related Items (8)

A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping ⋮ Smoluchowski-Kramers approximation and large deviations for infinite-dimensional nongradient systems with applications to the exit problem ⋮ Limiting dynamics for stochastic nonclassical diffusion equations ⋮ On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction ⋮ An averaging approach to the Smoluchowski-Kramers approximation in the presence of a varying magnetic field ⋮ On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior ⋮ On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems ⋮ Smoluchowski-Kramers approximation for the damped stochastic wave equation with multiplicative noise in any spatial dimension

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