Quantal Brownian motion in stationary and nonstationary fermionic reservoirs

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: Hernandez, E.S., Dorso, C.O.
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_05562813_v29_n4_p1510_Hernandez
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spelling todo:paper_05562813_v29_n4_p1510_Hernandez2023-10-03T15:34:32Z Quantal Brownian motion in stationary and nonstationary fermionic reservoirs Hernandez, E.S. Dorso, C.O. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Hernandez, E.S.
Dorso, C.O.
spellingShingle Hernandez, E.S.
Dorso, C.O.
Quantal Brownian motion in stationary and nonstationary fermionic reservoirs
author_facet Hernandez, E.S.
Dorso, C.O.
author_sort Hernandez, E.S.
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
url http://hdl.handle.net/20.500.12110/paper_05562813_v29_n4_p1510_Hernandez
work_keys_str_mv AT hernandezes quantalbrownianmotioninstationaryandnonstationaryfermionicreservoirs
AT dorsoco quantalbrownianmotioninstationaryandnonstationaryfermionicreservoirs
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