Dynamical aspects of phonon-phonon coupling in collective mode damping

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We present an extension of the Quantal Brownian Motion (QBM) model of vibration damping that incorporates phonon-phonon or phonon-(two-particle-two-hole) interactions as sources of dissipative evolution of the excited mode. Starting from the Schrödinger-on Neumann equation of motion, a reduction pro...

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Autores principales: Cataldo, H.M., Hernández, E.S., Dorso, C.O.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03784371_v142_n1-3_p498_Cataldo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03784371_v142_n1-3_p498_Cataldo
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spelling todo:paper_03784371_v142_n1-3_p498_Cataldo2023-10-03T15:32:24Z Dynamical aspects of phonon-phonon coupling in collective mode damping Cataldo, H.M. Hernández, E.S. Dorso, C.O. We present an extension of the Quantal Brownian Motion (QBM) model of vibration damping that incorporates phonon-phonon or phonon-(two-particle-two-hole) interactions as sources of dissipative evolution of the excited mode. Starting from the Schrödinger-on Neumann equation of motion, a reduction procedure combined with the proper approximations leads to coupled, nonlinear master equations for the density vectors of the separate oscillators. The fermionic heat bath remains equilibrated at temperature T. The evolution of the phonon system is numerically analyzed under different initial conditions that simulate excitation of one or more collective vibrations, for several strengths of mode-mode coupling. It is found that in the majority of cases the system reaches statistical equilibrium with relaxation times that can be extracted from the numerical treatment. © 1987. 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. 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_03784371_v142_n1-3_p498_Cataldo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We present an extension of the Quantal Brownian Motion (QBM) model of vibration damping that incorporates phonon-phonon or phonon-(two-particle-two-hole) interactions as sources of dissipative evolution of the excited mode. Starting from the Schrödinger-on Neumann equation of motion, a reduction procedure combined with the proper approximations leads to coupled, nonlinear master equations for the density vectors of the separate oscillators. The fermionic heat bath remains equilibrated at temperature T. The evolution of the phonon system is numerically analyzed under different initial conditions that simulate excitation of one or more collective vibrations, for several strengths of mode-mode coupling. It is found that in the majority of cases the system reaches statistical equilibrium with relaxation times that can be extracted from the numerical treatment. © 1987.
format JOUR
author Cataldo, H.M.
Hernández, E.S.
Dorso, C.O.
spellingShingle Cataldo, H.M.
Hernández, E.S.
Dorso, C.O.
Dynamical aspects of phonon-phonon coupling in collective mode damping
author_facet Cataldo, H.M.
Hernández, E.S.
Dorso, C.O.
author_sort Cataldo, H.M.
title Dynamical aspects of phonon-phonon coupling in collective mode damping
title_short Dynamical aspects of phonon-phonon coupling in collective mode damping
title_full Dynamical aspects of phonon-phonon coupling in collective mode damping
title_fullStr Dynamical aspects of phonon-phonon coupling in collective mode damping
title_full_unstemmed Dynamical aspects of phonon-phonon coupling in collective mode damping
title_sort dynamical aspects of phonon-phonon coupling in collective mode damping
url http://hdl.handle.net/20.500.12110/paper_03784371_v142_n1-3_p498_Cataldo
work_keys_str_mv AT cataldohm dynamicalaspectsofphononphononcouplingincollectivemodedamping
AT hernandezes dynamicalaspectsofphononphononcouplingincollectivemodedamping
AT dorsoco dynamicalaspectsofphononphononcouplingincollectivemodedamping
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