Quantal Brownian motion in stationary and nonstationary fermionic reservoirs

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A model for collective mode damping in nuclei is devised in the frame of a theory of irreversible evolution. The decay width of a fast nuclear vibration, originated in its coupling to the remaining nuclear degrees of freedom, is calculated in a dynamical fashion. To this aim, a set of equations is p...

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Autores principales: Hernández, Ester Susana, Dorso, Claudio Oscar
Publicado: 1984
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v29_n4_p1510_Hernandez
http://hdl.handle.net/20.500.12110/paper_05562813_v29_n4_p1510_Hernandez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_05562813_v29_n4_p1510_Hernandez2023-06-08T15:41:29Z Quantal Brownian motion in stationary and nonstationary fermionic reservoirs Hernández, Ester Susana Dorso, Claudio Oscar A model for collective mode damping in nuclei is devised in the frame of a theory of irreversible evolution. The decay width of a fast nuclear vibration, originated in its coupling to the remaining nuclear degrees of freedom, is calculated in a dynamical fashion. To this aim, a set of equations is proposed that describes the simultaneous dynamics of the oscillation or its associated array of bosons and of the interacting fermions that play the role of a heat reservoir. These are, respectively, a quantal master equation and modified kinetic one. The two of them exhibit their mutual coupling in the non-Hermitian terms of their generators of motion. The equations are worked out in detail in (a) the weak-coupling approximation plus (b) the very-close-to-equilibration regime plus (c) the energy-conserving description of intermediate processes. With hypothesis (c) the heat bath can be regarded as lying in a steady state at all times and the master equation is solved for different temperatures and phonon energies. The damping width of the oscillations is thus quantitatively predicted. [NUCLEAR STRUCTURE Damping width. High-frequency collective modes. Nonstationary fermionic heat reservoir. Coupled dynamics. Quantal master equation. Modified BBGKY hierarchy. Modified kinetic equation. Single-particle lifetime. Temperature-dependent transition rates. Thermal equilibration. Irreversible evolution with effective collision frequency or relaxation time.] © 1984 The American Physical Society. Fil:Hernandez, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dorso, C.O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1984 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v29_n4_p1510_Hernandez http://hdl.handle.net/20.500.12110/paper_05562813_v29_n4_p1510_Hernandez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A model for collective mode damping in nuclei is devised in the frame of a theory of irreversible evolution. The decay width of a fast nuclear vibration, originated in its coupling to the remaining nuclear degrees of freedom, is calculated in a dynamical fashion. To this aim, a set of equations is proposed that describes the simultaneous dynamics of the oscillation or its associated array of bosons and of the interacting fermions that play the role of a heat reservoir. These are, respectively, a quantal master equation and modified kinetic one. The two of them exhibit their mutual coupling in the non-Hermitian terms of their generators of motion. The equations are worked out in detail in (a) the weak-coupling approximation plus (b) the very-close-to-equilibration regime plus (c) the energy-conserving description of intermediate processes. With hypothesis (c) the heat bath can be regarded as lying in a steady state at all times and the master equation is solved for different temperatures and phonon energies. The damping width of the oscillations is thus quantitatively predicted. [NUCLEAR STRUCTURE Damping width. High-frequency collective modes. Nonstationary fermionic heat reservoir. Coupled dynamics. Quantal master equation. Modified BBGKY hierarchy. Modified kinetic equation. Single-particle lifetime. Temperature-dependent transition rates. Thermal equilibration. Irreversible evolution with effective collision frequency or relaxation time.] © 1984 The American Physical Society.
author Hernández, Ester Susana
Dorso, Claudio Oscar
spellingShingle Hernández, Ester Susana
Dorso, Claudio Oscar
Quantal Brownian motion in stationary and nonstationary fermionic reservoirs
author_facet Hernández, Ester Susana
Dorso, Claudio Oscar
author_sort Hernández, Ester Susana
title Quantal Brownian motion in stationary and nonstationary fermionic reservoirs
title_short Quantal Brownian motion in stationary and nonstationary fermionic reservoirs
title_full Quantal Brownian motion in stationary and nonstationary fermionic reservoirs
title_fullStr Quantal Brownian motion in stationary and nonstationary fermionic reservoirs
title_full_unstemmed Quantal Brownian motion in stationary and nonstationary fermionic reservoirs
title_sort quantal brownian motion in stationary and nonstationary fermionic reservoirs
publishDate 1984
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v29_n4_p1510_Hernandez
http://hdl.handle.net/20.500.12110/paper_05562813_v29_n4_p1510_Hernandez
work_keys_str_mv AT hernandezestersusana quantalbrownianmotioninstationaryandnonstationaryfermionicreservoirs
AT dorsoclaudiooscar quantalbrownianmotioninstationaryandnonstationaryfermionicreservoirs
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