The dynamics of the open Bose gas
type: Item
instance of: scholarly article
title: The dynamics of the open Bose gas
zbMATH Open document ID: 0545.46058
DOI: 10.1016/0003-4916(84)90002-2
author: E. Buffett
author: Ph. De Smedt
author: Joe V. Pulé
published in: Annals of Physics
publication date: 1984-01-01T00:00:00Z
review text: This article provides a rigorous treatment of the dynamics of Bose- Einstein condensation. In the first part of their paper, the authors, starting from first principles, give a derivation of the kinetic equation describing a gas of Bosons interacting with a heat bath. This non-linear integro-differential equation is then analyzed. First, the global existence and uniqueness of the solution is established. Next, the asymptotic properties of the solution are studied in great detail. The rate of approach to equilibrium is related to the spectral gap of a certain operator, and shows a qualitative change of the critical density. This provides a rigorous microscopic foundation for the phenomenon of critical showing down, so often advocated on purely heuristic bases. Finally, the behaviour of the model is compared to the predictions of the various existing phenomenological theories. An extension of this work can be found in [the authors, Ann. Inst. Henri Poincaré, Anal. Non- Linéaire 1, 413 (1984)].
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 82B05
zbMATH DE Number: 3868039
zbMATH Keywords: open Bose gas
zbMATH Keywords: master equation techniques
zbMATH Keywords: Liapunov functional
zbMATH Keywords: non- linear semigroup
zbMATH Keywords: Bose-Einstein condensation
zbMATH Keywords: non-linear integro- differential equation
zbMATH Keywords: global existence and uniqueness of the solution
zbMATH Keywords: asymptotic properties
zbMATH Keywords: rate of approach to equilibrium
zbMATH Keywords: spectral gap
zbMATH Keywords: critical showing down
MaRDI profile type: Publication
full work available at URL: 0003-4916(84)90002-2
OpenAlex ID: W2036792664
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description: scientific article; zbMATH DE number 3868039