On low temperature kinetic theory; spin diffusion, Bose Einstein condensates, anyons

DOI10.1007/s10955-013-0695-yzbMath1276.82048arXiv1207.0596OpenAlexW3101604408MaRDI QIDQ1949777

Leif Arkeryd

Publication date: 17 May 2013

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

Full work available at URL: https://arxiv.org/abs/1207.0596

zbMATH Keywords

Cauchy problemhydrodynamic limitGross-Pitaevskii equationBose condensationlinearized operatorquantum Boltzmann equationspin diffusionnon-linear kineticNordheim-Boltzmann model

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (6)

Long time convergence of the Bose-Einstein condensation ⋮ Long time strong convergence to Bose-Einstein distribution for low temperature ⋮ Boundary layers for discrete kinetic models: multicomponent mixtures, polyatomic molecules, bimolecular reactions, and quantum kinetic equations ⋮ The spatially homogeneous Boltzmann equation for Bose-Einstein particles: rate of strong convergence to equilibrium ⋮ The Boltzmann equation for Bose-Einstein particles: regularity and condensation ⋮ Half-space problems for a linearized discrete quantum kinetic equation

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