On the origin of power laws in equilibrium

被引:8
作者
Campisi, Michele [1 ]
Zhan, Fei [2 ]
Haenggi, Peter [1 ]
机构
[1] Univ Augsburg, Inst Phys, D-86159 Augsburg, Germany
[2] Peking Univ, Int Ctr Quantum Mat, Beijing 100871, Peoples R China
关键词
NEGATIVE SPECIFIC-HEAT; PHASE-TRANSITIONS; SYSTEMS;
D O I
10.1209/0295-5075/99/60004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A particle in the attractive Coulomb field has an interesting property: its specific heat is constant and negative. We show, both analytically and numerically, that when a classical Hamiltonian system stays in weak contact with one such negative specific heat object, its statistics conforms to a fat-tailed power-law distribution with power index given by C/k(B) - 1, where k(B) is the Boltzmann constant and C is the heat capacity. Copyright (C) EPLA, 2012
引用
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页数:5
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共 33 条
[1]   Generalized entropies from first principles [J].
Almeida, MP .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 300 (3-4) :424-432
[2]  
Antonov V A, 1985, IAU S, V113, P525
[3]   Inequivalence of ensembles in a system with long-range Interactions -: art. no. 030601 [J].
Barré, J ;
Mukamel, D ;
Ruffo, S .
PHYSICAL REVIEW LETTERS, 2001, 87 (03) :30601-1
[4]   Negative specific heat in a Lennard-Jones-like gas with long-range interactions [J].
Borges, EP ;
Tsallis, C .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 305 (1-2) :148-151
[5]   Thermodynamics with generalized ensembles: The class of dual orthodes [J].
Campisi, Michele .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 385 (02) :501-517
[6]   On the limiting cases of nonextensive thermostatistics [J].
Campisi, Michele .
PHYSICS LETTERS A, 2007, 366 (4-5) :335-338
[7]   Logarithmic Oscillators: Ideal Hamiltonian Thermostats [J].
Campisi, Michele ;
Zhan, Fei ;
Talkner, Peter ;
Haenggi, Peter .
PHYSICAL REVIEW LETTERS, 2012, 108 (25)
[8]   Thermodynamic anomalies in open quantum systems: Strong coupling effects in the isotropic XY model [J].
Campisi, Michele ;
Zueco, David ;
Talkner, Peter .
CHEMICAL PHYSICS, 2010, 375 (2-3) :187-194
[9]   Finite bath fluctuation theorem [J].
Campisi, Michele ;
Talkner, Peter ;
Haenggi, Peter .
PHYSICAL REVIEW E, 2009, 80 (03)
[10]   Thermodynamics and fluctuation theorems for a strongly coupled open quantum system: an exactly solvable case [J].
Campisi, Michele ;
Talkner, Peter ;
Haenggi, Peter .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (39)