The Fokker-Planck equation for bosons in 2D: Well-posedness and asymptotic behavior

We show that solutions of the 2D Fokker-Planck equation for bosons are defined globally in time and converge to equilibrium, and this convergence is shown to be exponential for radially symmetric solutions. The main observation is that a variant of the Hopf-Cole transformation relates the 2D equatio...

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Detalles Bibliográficos
Publicado: 2016
Materias:
Bose-Einstein
Entropy method
Long-time asymptotics
Bosons
Linear transformations
Mathematical transformations
Statistical mechanics
Timing jitter
Asymptotic behaviors
Convergence to equilibrium
Entropy functional
Entropy methods
Hopf-cole transformations
Radially symmetric solution
Fokker Planck equation
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v137_n_p291_Canizo
http://hdl.handle.net/20.500.12110/paper_0362546X_v137_n_p291_Canizo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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