Time evolution of a Bose system passing through the critical point

Abstract

Kinetics of Bose condensation of an ideal Bose gas and of the classical Bose gas of hard spheres is considered. Deviations from the equilibrium state are not assumed to be small. An analytic solution for the problem of an ideal Bose gas is found and the role of collisions between the Bose particles themselves is discussed qualitatively. It is shown that Bose condensation is a slowing down process which can be completed at t~while the formation of the high-energy tail of the distribution function is relatively fast. The transition time is finite if the nuclei of new phase are present in the beginning of the cooling process.

Asymptotic description of Dirac mass formation in kinetic equations for quantum particles

“…In particular, this equation describes the approach to thermal equilibrium of a distribution of Bose particles that are in contact with a bath of fermions in thermal equilibrium (a physical example would be the system of photons and electrons in a plasma cf. [Dr,LY1,LY2]). A very interesting mathematical feature of Eq.…”

Quantum kinetic theory. V. Quantum kinetic master equation for mutual interaction of condensate and noncondensate

“…The prospect of actually producing a degenerate Bose gas gave rise to a number of investigations [19] based largely on a combination of kinetic theory as described by the UehlingUhlenbeck equation [18] and the the Gross-Pitaevskii equation. However, nearly all of these investigations were from the point of view of macroscopic statistical mechanics, in which the BEC was seen as a sample of an extended fluid, rather than the tightly trapped condensate, which behaves more like a very large atom or molecule than a droplet of macroscopic fluid.…”

Glasma evolution and Bose-Einstein condensation with elastic and inelastic collisions

“…As is well known in the literature [39,40,41,42,43], kinetic theory breaks down at the onset point. After the formation of BEC, a modified kinetic theory framework is needed by explicitly introducing a condensate component.…”

“…One however may notice that the kinetic description has been widely adopted for studying the Bose-Einstein Condensation phenomena across a wide range of physical systems, e.g. for cosmological scalars [39,40], for general Bose gases with varied interactions [41,42,43,44], for trapped atomic gases [45], as well as for polaritons in condensed matter systems [46,47]. In particular the kinetic equations are shown in the above literature to be a very useful tool in understanding the BEC onset which is a non-equilibrium process.…”