On superstatistics of energy for a free quantum Brownian particle

被引：10

作者：

Spiechowicz, J. ^{[1
,2
]}

Luczka, J. ^{[1
,2
]}

机构：

[1] Univ Silesia, Inst Phys, PL-41500 Chorzow, Poland

[2] Univ Silesia, Silesian Ctr Educ & Interdisciplinary Res, PL-41500 Chorzow, Poland

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2019年

关键词：

quantum dissipative systems; rigorous results in statistical mechanics; Brownian motion;

D O I：

10.1088/1742-5468/ab1c4e

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider energetics of a free quantum Brownian particle coupled to thermostat of temperature T and study this problem in terms of the lately formulated quantum analogue of the energy equipartition theorem. We show how this quantum counterpart can be derived from the Callen-Welton fluctuation-dissipation relation and rephrased in terms of superstatistics. We analyse the influence of the system-thermostat coupling strength and the memory time of the dissipation kernel on statistical characteristics of the particle energy and its specific heat.

引用

页数：18

共 18 条

[1]

[Anonymous], 1959, J EXP THEOR PHYS+

[2] Superstatistics [J].

Beck, C ;

Cohen, EGD .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 322 (1-4) :267-275

[3] Partition of energy for a dissipative quantum oscillator [J].

Bialas, P. ;

Spiechowicz, J. ;

Luczka, J. .

SCIENTIFIC REPORTS, 2018, 8

[4] QUANTUM TUNNELLING IN A DISSIPATIVE SYSTEM [J].

CALDEIRA, AO ;

LEGGETT, AJ .

ANNALS OF PHYSICS, 1983, 149 (02) :374-456

[5] IRREVERSIBILITY AND GENERALIZED NOISE [J].

CALLEN, HB ;

WELTON, TA .

PHYSICAL REVIEW, 1951, 83 (01) :34-40

[6] Brownian yet Non-Gaussian Diffusion: From Superstatistics to Subordination of Diffusing Diffusivities [J].

Chechkin, Aleksei V. ;

Seno, Flavio ;

Metzler, Ralf ;

Sokolov, Igor M. .

PHYSICAL REVIEW X, 2017, 7 (02)

[7]

Feynman R P., 1972, Statistical Mechanics

[8] ON THE QUANTUM LANGEVIN EQUATION [J].

FORD, GW ;

KAC, M .

JOURNAL OF STATISTICAL PHYSICS, 1987, 46 (5-6) :803-810

[9] QUANTUM LANGEVIN EQUATION [J].

FORD, GW ;

LEWIS, JT ;

OCONNELL, RF .

PHYSICAL REVIEW A, 1988, 37 (11) :4419-4428

[10] Finite quantum dissipation: the challenge of obtaining specific heat [J].

Haenggi, Peter ;

Ingold, Gert-Ludwig ;

Talkner, Peter .

NEW JOURNAL OF PHYSICS, 2008, 10

← 1 2 →