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, Horacio Máximo, Hernández, Ester Susana, Dorso, Claudio Oscar
Publicado: 1987
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v142_n1-3_p498_Cataldo
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 paper:paper_03784371_v142_n1-3_p498_Cataldo
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spelling paper:paper_03784371_v142_n1-3_p498_Cataldo2023-06-08T15:39:47Z Dynamical aspects of phonon-phonon coupling in collective mode damping Cataldo, Horacio Máximo Hernández, Ester Susana Dorso, Claudio Oscar 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. 1987 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v142_n1-3_p498_Cataldo 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.
author Cataldo, Horacio Máximo
Hernández, Ester Susana
Dorso, Claudio Oscar
spellingShingle Cataldo, Horacio Máximo
Hernández, Ester Susana
Dorso, Claudio Oscar
Dynamical aspects of phonon-phonon coupling in collective mode damping
author_facet Cataldo, Horacio Máximo
Hernández, Ester Susana
Dorso, Claudio Oscar
author_sort Cataldo, Horacio Máximo
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
publishDate 1987
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v142_n1-3_p498_Cataldo
http://hdl.handle.net/20.500.12110/paper_03784371_v142_n1-3_p498_Cataldo
work_keys_str_mv AT cataldohoraciomaximo dynamicalaspectsofphononphononcouplingincollectivemodedamping
AT hernandezestersusana dynamicalaspectsofphononphononcouplingincollectivemodedamping
AT dorsoclaudiooscar dynamicalaspectsofphononphononcouplingincollectivemodedamping
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