Stadium billiard with moving walls

We study the evolution of the energy distribution for a stadium with moving walls. We consider a one period driving cycle, which is characterized by an amplitude A and a wall velocity V. This evolving energy distribution has both “parametric” and “stochastic” components. The latter are important for...

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Autores principales: Cohen, D., Wisniacki, D.A.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1063651X_v67_n2_p14_Cohen
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spelling todo:paper_1063651X_v67_n2_p14_Cohen2023-10-03T16:01:44Z Stadium billiard with moving walls Cohen, D. Wisniacki, D.A. We study the evolution of the energy distribution for a stadium with moving walls. We consider a one period driving cycle, which is characterized by an amplitude A and a wall velocity V. This evolving energy distribution has both “parametric” and “stochastic” components. The latter are important for the theory of quantum irreversibility and dissipation in driven mesoscopic devices. For an extremely slow wall velocity V, the spreading mechanism is dominated by transitions between neighboring levels, while for larger (nonadiabatic) velocities, the spreading mechanism has both perturbative and nonperturbative features. We present a numerical study which is aimed at identifying the latter features. A procedure is developed for the determination of the various V regimes. The possible implications of linear response theory are discussed. © 2003 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v67_n2_p14_Cohen
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 study the evolution of the energy distribution for a stadium with moving walls. We consider a one period driving cycle, which is characterized by an amplitude A and a wall velocity V. This evolving energy distribution has both “parametric” and “stochastic” components. The latter are important for the theory of quantum irreversibility and dissipation in driven mesoscopic devices. For an extremely slow wall velocity V, the spreading mechanism is dominated by transitions between neighboring levels, while for larger (nonadiabatic) velocities, the spreading mechanism has both perturbative and nonperturbative features. We present a numerical study which is aimed at identifying the latter features. A procedure is developed for the determination of the various V regimes. The possible implications of linear response theory are discussed. © 2003 The American Physical Society.
format JOUR
author Cohen, D.
Wisniacki, D.A.
spellingShingle Cohen, D.
Wisniacki, D.A.
Stadium billiard with moving walls
author_facet Cohen, D.
Wisniacki, D.A.
author_sort Cohen, D.
title Stadium billiard with moving walls
title_short Stadium billiard with moving walls
title_full Stadium billiard with moving walls
title_fullStr Stadium billiard with moving walls
title_full_unstemmed Stadium billiard with moving walls
title_sort stadium billiard with moving walls
url http://hdl.handle.net/20.500.12110/paper_1063651X_v67_n2_p14_Cohen
work_keys_str_mv AT cohend stadiumbilliardwithmovingwalls
AT wisniackida stadiumbilliardwithmovingwalls
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