Distribution of occupation numbers in finite Fermi systems and role of interaction in chaos and thermalization

被引:70
作者
Flambaum, VV [1 ]
Izrailev, FM [1 ]
机构
[1] BUDKER INST NUCL PHYS,NOVOSIBIRSK 630090,RUSSIA
来源
PHYSICAL REVIEW E | 1997年 / 55卷 / 01期
关键词
D O I
10.1103/PhysRevE.55.R13
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A method is developed for calculation of single-particle occupation numbers in finite Fermi systems of interacting particles. It is more accurate than the canonical distribution method and gives the Fermi-Dirac distribution in the limit of large number of particles. It is shown that statistical effects of the interaction are absorbed by an increase of the effective temperature. Criteria for quantum chaos and statistical equilibrium are considered. All results are confirmed by numerical experiments in the two-body random interaction model.
引用
收藏
页码:R13 / R16
页数:4
相关论文
共 10 条
[1]   2-BODY RANDOM HAMILTONIAN AND LEVEL DENSITY [J].
BOHIGAS, O ;
FLORES, J .
PHYSICS LETTERS B, 1971, B 34 (04) :261-&
[2]  
BOHR A, 1969, NUCLEAR STRUCTURE, V1
[3]   STRUCTURE OF COMPOUND STATES IN THE CHAOTIC SPECTRUM OF THE CE ATOM - LOCALIZATION PROPERTIES, MATRIX-ELEMENTS, AND ENHANCEMENT OF WEAK PERTURBATIONS [J].
FLAMBAUM, VV ;
GRIBAKINA, AA ;
GRIBAKIN, GF ;
KOZLOV, MG .
PHYSICAL REVIEW A, 1994, 50 (01) :267-296
[4]   Towards a statistical theory of finite Fermi systems and compound states: Random two-body interaction approach [J].
Flambaum, VV ;
Izrailev, FM ;
Casati, G .
PHYSICAL REVIEW E, 1996, 54 (02) :2136-2139
[5]   Correlations within eigenvectors and transition amplitudes in the two-body random interaction model [J].
Flambaum, VV ;
Gribakin, GF ;
Izrailev, FM .
PHYSICAL REVIEW E, 1996, 53 (06) :5729-5741
[6]  
FRAZIER N, UNPUB
[7]  
FRENCH JB, 1970, PHYS LETT B, V35, P5
[8]   CHAOS VS THERMALIZATION IN THE NUCLEAR SHELL-MODEL [J].
HOROI, M ;
ZELEVINSKY, V ;
BROWN, BA .
PHYSICAL REVIEW LETTERS, 1995, 74 (26) :5194-5197
[9]  
REIF F, 1965, FUNDAMENTALS STATIST
[10]   INFORMATION ENTROPY, CHAOS AND COMPLEXITY OF THE SHELL-MODEL EIGENVECTORS [J].
ZELEVINSKY, V ;
HOROI, M ;
BROWN, BA .
PHYSICS LETTERS B, 1995, 350 (02) :141-146