Memory loss process and non-Gibbsian equilibrium solutions of master equations

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The phonon dynamics of a harmonic oscillator coupled to a steady reservoir is studied. In the Markovian limit, the equilibrium is reached through a progressive loss of memory process which involves the moments of the initial distribution. The relationship to the non-Markovian equations of motion and...

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Autores principales: Cataldo, Horacio Máximo, Hernández, Ester Susana
Publicado: 1988
Materias:
Markovian limit
non-Gibbsian equilibrium distribution
non-Markovian analysis
progressive loss of memory
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v53_n3-4_p673_Cataldo
http://hdl.handle.net/20.500.12110/paper_00224715_v53_n3-4_p673_Cataldo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00224715_v53_n3-4_p673_Cataldo
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spelling paper:paper_00224715_v53_n3-4_p673_Cataldo2025-07-30T17:32:43Z Memory loss process and non-Gibbsian equilibrium solutions of master equations Cataldo, Horacio Máximo Hernández, Ester Susana Markovian limit non-Gibbsian equilibrium distribution non-Markovian analysis progressive loss of memory The phonon dynamics of a harmonic oscillator coupled to a steady reservoir is studied. In the Markovian limit, the equilibrium is reached through a progressive loss of memory process which involves the moments of the initial distribution. The relationship to the non-Markovian equations of motion and its resolvent poles is settled. As a particular model of the coupling mechanism is adopted, the possibility of non-Gibbsian equilibrium distribution arises, which is analyzed focusing upon the dependence of various parameters of the system on an effective equilibrium temperature. © 1988 Plenum Publishing Corporation. Fil:Cataldo, H.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hernández, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1988 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v53_n3-4_p673_Cataldo http://hdl.handle.net/20.500.12110/paper_00224715_v53_n3-4_p673_Cataldo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Markovian limit
non-Gibbsian equilibrium distribution
non-Markovian analysis
progressive loss of memory
spellingShingle Markovian limit
non-Gibbsian equilibrium distribution
non-Markovian analysis
progressive loss of memory
Cataldo, Horacio Máximo
Hernández, Ester Susana
Memory loss process and non-Gibbsian equilibrium solutions of master equations
topic_facet Markovian limit
non-Gibbsian equilibrium distribution
non-Markovian analysis
progressive loss of memory
description The phonon dynamics of a harmonic oscillator coupled to a steady reservoir is studied. In the Markovian limit, the equilibrium is reached through a progressive loss of memory process which involves the moments of the initial distribution. The relationship to the non-Markovian equations of motion and its resolvent poles is settled. As a particular model of the coupling mechanism is adopted, the possibility of non-Gibbsian equilibrium distribution arises, which is analyzed focusing upon the dependence of various parameters of the system on an effective equilibrium temperature. © 1988 Plenum Publishing Corporation.
author Cataldo, Horacio Máximo
Hernández, Ester Susana
author_facet Cataldo, Horacio Máximo
Hernández, Ester Susana
author_sort Cataldo, Horacio Máximo
title Memory loss process and non-Gibbsian equilibrium solutions of master equations
title_short Memory loss process and non-Gibbsian equilibrium solutions of master equations
title_full Memory loss process and non-Gibbsian equilibrium solutions of master equations
title_fullStr Memory loss process and non-Gibbsian equilibrium solutions of master equations
title_full_unstemmed Memory loss process and non-Gibbsian equilibrium solutions of master equations
title_sort memory loss process and non-gibbsian equilibrium solutions of master equations
publishDate 1988
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v53_n3-4_p673_Cataldo
http://hdl.handle.net/20.500.12110/paper_00224715_v53_n3-4_p673_Cataldo
work_keys_str_mv AT cataldohoraciomaximo memorylossprocessandnongibbsianequilibriumsolutionsofmasterequations
AT hernandezestersusana memorylossprocessandnongibbsianequilibriumsolutionsofmasterequations
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