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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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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1807319242278699008 |