Thermodynamic potentials for non-equilibrium systems

Orazio Descalzi; Servet Martinez; Enrique Tirapegui

doi:10.1016/S0960-0779(01)00077-7

Thermodynamic potentials for non-equilibrium systems

Orazio Descalzi^*, Servet Martinez, Enrique Tirapegui

^*Corresponding author for this work

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

16 Scopus citations

Abstract

The notion of non-equilibrium potential for systems far from equilibrium is reviewed and the relation to the reversed process is examined. The potential is constructed in the neighborhood of the homogeneous attractors for a non-variational extended system, namely the subcritical complex Ginzburg-Landau equation. This construction is the second known example of a Lyapunov functional for a non-variational system.

Original language	English
Pages (from-to)	2619-2630
Number of pages	12
Journal	Chaos, Solitons and Fractals
Volume	12
Issue number	14-15
DOIs	https://doi.org/10.1016/S0960-0779(01)00077-7
State	Published - 12 Nov 2001
Event	Irreversibility, Probability and Complexity - Brussels, Belgium Duration: 12 Nov 2001 → 12 Nov 2001

Bibliographical note

Funding Information:
E.T. thanks the support of this work by Fondecyt (P. 1990991), FONDAP (P. 11980002), CNRS-CONICYT Project and Cátedra Presidencial en Ciencias. S.M. wishes to thank Fondecyt (P. 1970506). O.D. wishes to thank Fondecyt (P. 3940001) and Fondo de Ayuda a la Investigación de la Universidad de los Andes (P. ICIV-001-2000).

Keywords

Computational complexity
Entropy
Lyapunov methods

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10.1016/S0960-0779(01)00077-7

Cite this

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title = "Thermodynamic potentials for non-equilibrium systems",

abstract = "The notion of non-equilibrium potential for systems far from equilibrium is reviewed and the relation to the reversed process is examined. The potential is constructed in the neighborhood of the homogeneous attractors for a non-variational extended system, namely the subcritical complex Ginzburg-Landau equation. This construction is the second known example of a Lyapunov functional for a non-variational system.",

keywords = "Computational complexity, Entropy, Lyapunov methods",

author = "Orazio Descalzi and Servet Martinez and Enrique Tirapegui",

note = "Funding Information: E.T. thanks the support of this work by Fondecyt (P. 1990991), FONDAP (P. 11980002), CNRS-CONICYT Project and C{\'a}tedra Presidencial en Ciencias. S.M. wishes to thank Fondecyt (P. 1970506). O.D. wishes to thank Fondecyt (P. 3940001) and Fondo de Ayuda a la Investigaci{\'o}n de la Universidad de los Andes (P. ICIV-001-2000).; Irreversibility, Probability and Complexity ; Conference date: 12-11-2001 Through 12-11-2001",

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doi = "10.1016/S0960-0779(01)00077-7",

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TY - JOUR

T1 - Thermodynamic potentials for non-equilibrium systems

AU - Descalzi, Orazio

AU - Martinez, Servet

AU - Tirapegui, Enrique

N1 - Funding Information: E.T. thanks the support of this work by Fondecyt (P. 1990991), FONDAP (P. 11980002), CNRS-CONICYT Project and Cátedra Presidencial en Ciencias. S.M. wishes to thank Fondecyt (P. 1970506). O.D. wishes to thank Fondecyt (P. 3940001) and Fondo de Ayuda a la Investigación de la Universidad de los Andes (P. ICIV-001-2000).

PY - 2001/11/12

Y1 - 2001/11/12

N2 - The notion of non-equilibrium potential for systems far from equilibrium is reviewed and the relation to the reversed process is examined. The potential is constructed in the neighborhood of the homogeneous attractors for a non-variational extended system, namely the subcritical complex Ginzburg-Landau equation. This construction is the second known example of a Lyapunov functional for a non-variational system.

AB - The notion of non-equilibrium potential for systems far from equilibrium is reviewed and the relation to the reversed process is examined. The potential is constructed in the neighborhood of the homogeneous attractors for a non-variational extended system, namely the subcritical complex Ginzburg-Landau equation. This construction is the second known example of a Lyapunov functional for a non-variational system.

KW - Computational complexity

KW - Entropy

KW - Lyapunov methods

UR - https://www.scopus.com/pages/publications/0035851436

U2 - 10.1016/S0960-0779(01)00077-7

DO - 10.1016/S0960-0779(01)00077-7

M3 - Conference article

AN - SCOPUS:0035851436

SN - 0960-0779

VL - 12

SP - 2619

EP - 2630

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 14-15

T2 - Irreversibility, Probability and Complexity

Y2 - 12 November 2001 through 12 November 2001

ER -

Thermodynamic potentials for non-equilibrium systems

Abstract

Bibliographical note

Keywords

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