Bose Condensates in Interaction with Excitations: A Kinetic Model

被引：21

作者：

Arkeryd, Leif ^{[1
]}

Nouri, Anne ^{[2
]}

机构：

[1] Chalmers, S-41296 Gothenburg, Sweden

[2] Aix Marseille Univ, LATP, F-13453 Marseille 13, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2012年 / 310卷 / 03期

关键词：

GAS; TEMPERATURES; EQUATION; REGIME;

D O I：

10.1007/s00220-012-1415-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper deals with mathematical questions for Bose gases below the temperature T-BEC where Bose-Einstein condensation sets in. The model considered is of two-component type, consisting of a kinetic equation for the distribution function of a gas of (quasi-)particles interacting with a Bose condensate, which is described by a Gross-Pitaevskii equation. Existence results and moment estimates are proved in the space-homogeneous, isotropic case.

引用

页码：765 / 788

页数：24

共 16 条

[1] [Anonymous], 2003, Bose-Einstein Condensation
[2] [Anonymous], THESIS U TORONTO
[3] Some considerations on the derivation of the nonlinear quantum Boltzmann equation II: The low density regime
Benedetto, D.
Castella, F.
Esposito, R.
Pulvirenti, M.
[J]. JOURNAL OF STATISTICAL PHYSICS, 2006, 124 (2-4) : 951 - 996
[4] RELAXATION PROCESSES IN A CONDENSED BOSE-GAS
ECKERN, U
[J]. JOURNAL OF LOW TEMPERATURE PHYSICS, 1984, 54 (3-4) : 333 - 359
[5] Escobedo M., 2003, ELECT J DIFF EQNS MO, V04
[6] Analytical approach to relaxation dynamics of condensed Bose gases
Escobedo, Miguel
Pezzotti, Federica
Valle, Manuel
[J]. ANNALS OF PHYSICS, 2011, 326 (04) : 808 - 827
[7] MICROSCOPIC THEORY OF SUPERFLUID HELIUM
HOHENBERG, PC
MARTIN, PC
[J]. ANNALS OF PHYSICS, 1965, 34 (02) : 291 - +
[8] Quasiparticle kinetic equation in a trapped bose gas at low temperatures
Imamovic-Tomasovic, M
Griffin, A
[J]. JOURNAL OF LOW TEMPERATURE PHYSICS, 2001, 122 (5-6) : 617 - 655
[9] GREENS FUNCTIONS AND SUPERFLUID HYDRODYNAMICS
KANE, JW
KADANOFF, LP
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1965, 6 (12) : 1902 - &
[10] Khalatnikov IM., 1971, THEORY SUPERFLUIDITY

← 1 2 →