Large deviation principle for noninteracting boson random point processes

被引：3

作者：

Tamura, Hiroshi ^{[1
]}

Zagrebnov, Valentin A. ^{[2
]}

机构：

[1] Kanazawa Univ, Grad Sch Nat Sci & Technol, Kanazawa, Ishikawa 9201192, Japan

[2] Univ Mediterranee Aix Marseille II, Ctr Phys Theor, UMR 6207, F-13288 Marseille 9, France

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2010年 / 51卷 / 02期

关键词：

POSITION DISTRIBUTION; STATES; SYSTEMS; FERMION;

D O I：

10.1063/1.3304115

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Limit theorems, including the large deviation principle, are established for random point fields (processes), which describe the position distributions of the ideal boson gas in presence of the Bose-Einstein condensation. We compare these results with those for the case of the normal phase, i.e., without the condensate. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3304115]

引用

页数：20

共 50 条

[41] The large deviation principle for stochastic processes. Part I
Arcones, MA
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2002, 47 (04) : 567 - 583
[42] LARGE DEVIATION FOR NONINTERACTING INFINITE-PARTICLE SYSTEMS
DONSKER, MD
VARADHAN, SRS
JOURNAL OF STATISTICAL PHYSICS, 1987, 46 (5-6) : 1195 - 1232
[43] Spatializing random measures: Doubly indexed processes and the large deviation principle (vol 27, pg 297, 1999)
Boucher, C
Ellis, RS
Turkington, B
ANNALS OF PROBABILITY, 2002, 30 (04): : 2113 - 2113
[44] Large deviation principle for random walk in a quenched random environment in the low speed regime
Pisztora, A
Povel, T
ANNALS OF PROBABILITY, 1999, 27 (03): : 1389 - 1413
[45] LEVEL 1 QUENCHED LARGE DEVIATION PRINCIPLE FOR RANDOM WALK IN DYNAMIC RANDOM ENVIRONMENT
Campos, David
Drewitz, Alexander
Ramirez, Alejandro F.
Rassoul-Agha, Firas
Seppalainen, Timo
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2013, 8 (01): : 1 - 29
[46] Large deviation principle for random variables under sublinear expectations on Rd
Tan, Yuzhen
Zong, Gaofeng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 488 (02)
[47] A large deviation principle for the Erdos-Renyi uniform random graph
Dembo, Amir
Lubetzky, Eyal
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2018, 23
[48] The Large Deviation Principle for Inhomogeneous Erdos-Renyi Random Graphs
Markering, Maarten
JOURNAL OF THEORETICAL PROBABILITY, 2023, 36 (02) : 711 - 727
[49] ON THE LARGE DEVIATION PRINCIPLE FOR STATIONARY WEAKLY DEPENDENT RANDOM-FIELDS
BRYC, W
ANNALS OF PROBABILITY, 1992, 20 (02): : 1004 - 1030
[50] Rolling with random slipping and twisting: A large deviation point of view
Huang, Qiao
Wei, Wei
Duan, Jinqiao
STOCHASTICS AND DYNAMICS, 2024,

← 1 2 3 4 5 →