On Low Temperature Kinetic Theory; Spin Diffusion, Bose Einstein Condensates, Anyons

被引：9
作者：
Arkeryd, Leif
机构：
[1] Mathematical Sciences
来源：
JOURNAL OF STATISTICAL PHYSICS | 2013年 / 150卷 / 06期
关键词：
Quantum Boltzmann equation; MODIFIED BOLTZMANN-EQUATION; FOURIER INTEGRAL-OPERATORS; FRACTIONAL-STATISTICS; CONVERGENCE; COMPACTNESS; PARTICLES; BOSONS; GAS;
D O I：
10.1007/s10955-013-0695-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The paper considers some typical problems for non-linear kinetic models evolving through pair-collisions at temperatures not far from absolute zero, which illustrate specifically quantum behaviours. Based on these-mostly recent-examples, a number of differences between quantum and classical Boltzmann theory is then discussed in more general terms.
引用
收藏
页码：1063 / 1079
页数：17
相关论文
共 46 条
[1]  
[Anonymous], 2003, Bose-Einstein Condensation
[2]   L-INFINITY ESTIMATES FOR THE SPACE HOMOGENEOUS BOLTZMANN-EQUATION [J].
ARKERYD, L .
JOURNAL OF STATISTICAL PHYSICS, 1983, 31 (02) :347-361
[3]   A Quantum Boltzmann Equation for Haldane Statistics and Hard Forces; the Space-Homogeneous Initial Value Problem [J].
Arkeryd, L. .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 298 (02) :573-583
[4]  
Arkeryd L., ARXIV12070590
[5]   Bose Condensates in Interaction with Excitations: A Kinetic Model [J].
Arkeryd, Leif ;
Nouri, Anne .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2012, 310 (03) :765-788
[6]   On the weak-coupling limit for Bosons and Fermions [J].
Benedetto, D ;
Pulvirenti, M ;
Castella, F ;
Esposito, R .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2005, 15 (12) :1811-1843
[7]   Haldane exclusion statistics and the Boltzmann equation [J].
Bhaduri, RK ;
Bhalerao, RS ;
Murthy, MVN .
JOURNAL OF STATISTICAL PHYSICS, 1996, 82 (5-6) :1659-1668
[8]   Exciton-polariton Bose-Einstein condensation [J].
Deng, Hui ;
Haug, Hartmut ;
Yamamoto, Yoshihisa .
REVIEWS OF MODERN PHYSICS, 2010, 82 (02) :1489-1537
[9]   KINETIC-MODELS AND QUANTUM EFFECTS - A MODIFIED BOLTZMANN-EQUATION FOR FERMI-DIRAC PARTICLES [J].
DOLBEAULT, J .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1994, 127 (02) :101-131
[10]   RELAXATION PROCESSES IN A CONDENSED BOSE-GAS [J].
ECKERN, U .
JOURNAL OF LOW TEMPERATURE PHYSICS, 1984, 54 (3-4) :333-359
12345