Dynamic versus thermodynamic approach to non-canonical equilibrium

Mauro Bologna; Michele Campisi; Paolo Grigolini

doi:10.1016/S0378-4371(01)00645-8

Dynamic versus thermodynamic approach to non-canonical equilibrium

Mauro Bologna
, Michele Campisi
, Paolo Grigolini

University of North Texas
Dipartimento di Fisica
National Research Council of Italy
Center for Nonlinear Science

Research output: Contribution to journal › Conference article › peer-review

6 Scopus citations

Abstract

We study the dynamic and thermodynamic origin of non-canonical equilibria, and we discuss their connection with the generalized central limit theorem and the micro-canonical Boltzmann principle. We reach the conclusion that the zeroth law of thermodynamics and the Boltzmann principle are fulfilled thanks to an apparent fault turned into a benefit: the dynamic approach can only produce a truncated form of inverse power law equilibrium.

Original language	English
Pages (from-to)	89-98
Number of pages	10
Journal	Physica A: Statistical Mechanics and its Applications
Volume	305
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-4371(01)00645-8
State	Published - 1 Mar 2002
Externally published	Yes
Event	Non Extensive Thermodynamics and Physical Applications - Villasimius, Italy Duration: 23 May 2001 → 30 May 2001

Keywords

Boltzmann principle
Non-canonical equilibrium
Zeroth principle

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10.1016/S0378-4371(01)00645-8

Cite this

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title = "Dynamic versus thermodynamic approach to non-canonical equilibrium",

abstract = "We study the dynamic and thermodynamic origin of non-canonical equilibria, and we discuss their connection with the generalized central limit theorem and the micro-canonical Boltzmann principle. We reach the conclusion that the zeroth law of thermodynamics and the Boltzmann principle are fulfilled thanks to an apparent fault turned into a benefit: the dynamic approach can only produce a truncated form of inverse power law equilibrium.",

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T1 - Dynamic versus thermodynamic approach to non-canonical equilibrium

AU - Bologna, Mauro

AU - Campisi, Michele

AU - Grigolini, Paolo

PY - 2002/3/1

Y1 - 2002/3/1

N2 - We study the dynamic and thermodynamic origin of non-canonical equilibria, and we discuss their connection with the generalized central limit theorem and the micro-canonical Boltzmann principle. We reach the conclusion that the zeroth law of thermodynamics and the Boltzmann principle are fulfilled thanks to an apparent fault turned into a benefit: the dynamic approach can only produce a truncated form of inverse power law equilibrium.

AB - We study the dynamic and thermodynamic origin of non-canonical equilibria, and we discuss their connection with the generalized central limit theorem and the micro-canonical Boltzmann principle. We reach the conclusion that the zeroth law of thermodynamics and the Boltzmann principle are fulfilled thanks to an apparent fault turned into a benefit: the dynamic approach can only produce a truncated form of inverse power law equilibrium.

KW - Boltzmann principle

KW - Non-canonical equilibrium

KW - Zeroth principle

UR - https://www.scopus.com/pages/publications/0036494844

U2 - 10.1016/S0378-4371(01)00645-8

DO - 10.1016/S0378-4371(01)00645-8

M3 - Conference article

AN - SCOPUS:0036494844

SN - 0378-4371

VL - 305

SP - 89

EP - 98

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2

T2 - Non Extensive Thermodynamics and Physical Applications

Y2 - 23 May 2001 through 30 May 2001

ER -

Dynamic versus thermodynamic approach to non-canonical equilibrium

Abstract

Keywords

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