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Brownian localization: A generalized coupling model yielding a nonergodic Langevin equation description - Brownian localization: A generalized coupling model yielding a nonergodic Langevin equation description

A minimal system-plus-reservoir model yielding a nonergodic Langevin equation is proposed, which originates from the cubic-spectral density of environmental oscillators and momentum-dependent coupling. This model allows ballistic diffusion and classical localization simultaneously, in which the fluc... Full description

Journal Title: 中国物理B:英文版 - Chinese Physics 2013, Issue 06, pp.300-305
Main Author: 刘剑
Other Authors: 王海燕 , 包景东
Format: Electronic Article Electronic Article
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Quelle: 维普数据 (Chongqing VIP Information Co.)
ID: ISSN: 1674-1056
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title: Brownian localization: A generalized coupling model yielding a nonergodic Langevin equation description - Brownian localization: A generalized coupling model yielding a nonergodic Langevin equation description
format: Article
creator:
  • 刘剑
  • 王海燕
  • 包景东
subjects:
  • Ocalization, Nonergodicity, Generalized Coupling Model, Coupled Oscillator Chain
ispartof: 中国物理B:英文版 - Chinese Physics, 2013, Issue 06, pp.300-305
description: A minimal system-plus-reservoir model yielding a nonergodic Langevin equation is proposed, which originates from the cubic-spectral density of environmental oscillators and momentum-dependent coupling. This model allows ballistic diffusion and classical localization simultaneously, in which the fluctuation-dissipation relation is still satisfied but the Khinchin theorem is broken. The asymptotical equilibrium for a nonergodic system requires the initial thermal equilibrium, however, when the system starts from nonthermal conditions, it does not approach the equilibration even though a nonlinear potential is used to bound the particle, this can be confirmed by the zerotb law of thermodynamics. In the dynamics of Brownian localization, due to the memory damping function inducing a constant term, our results show that the stationary distribution of the system depends on its initial preparation of coordinate rather than momentum. The coupled oscillator chain with a fixed end boundary acts as a heat bath, which has long been used in studies of collinear atom/solid-surface scattering and lattice vibration, we investigate this problem from the viewpoint of nonergodicity.
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source: 维普数据 (Chongqing VIP Information Co.)
identifier: ISSN: 1674-1056
fulltext: no_fulltext
issn:
  • 1674-1056
  • 16741056
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titleBrownian localization: A generalized coupling model yielding a nonergodic Langevin equation description - Brownian localization: A generalized coupling model yielding a nonergodic Langevin equation description
creator刘剑 ; 王海燕 ; 包景东
ispartof中国物理B:英文版 - Chinese Physics, 2013, Issue 06, pp.300-305
identifierISSN: 1674-1056
subjectOcalization, Nonergodicity, Generalized Coupling Model, Coupled Oscillator Chain
descriptionA minimal system-plus-reservoir model yielding a nonergodic Langevin equation is proposed, which originates from the cubic-spectral density of environmental oscillators and momentum-dependent coupling. This model allows ballistic diffusion and classical localization simultaneously, in which the fluctuation-dissipation relation is still satisfied but the Khinchin theorem is broken. The asymptotical equilibrium for a nonergodic system requires the initial thermal equilibrium, however, when the system starts from nonthermal conditions, it does not approach the equilibration even though a nonlinear potential is used to bound the particle, this can be confirmed by the zerotb law of thermodynamics. In the dynamics of Brownian localization, due to the memory damping function inducing a constant term, our results show that the stationary distribution of the system depends on its initial preparation of coordinate rather than momentum. The coupled oscillator chain with a fixed end boundary acts as a heat bath, which has long been used in studies of collinear atom/solid-surface scattering and lattice vibration, we investigate this problem from the viewpoint of nonergodicity.
relation作者单位: Department of Physics, Beijing Normal University, Beijing 100875, China
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titleBrownian localization: A generalized coupling model yielding a nonergodic Langevin equation description
descriptionA minimal system-plus-reservoir model yielding a nonergodic Langevin equation is proposed, which originates from the cubic-spectral density of environmental oscillators and momentum-dependent coupling. This model allows ballistic diffusion and classical localization simultaneously, in which the fluctuation-dissipation relation is still satisfied but the Khinchin theorem is broken. The asymptotical equilibrium for a nonergodic system requires the initial thermal equilibrium, however, when the system starts from nonthermal conditions, it does not approach the equilibration even though a nonlinear potential is used to bound the particle, this can be confirmed by the zerotb law of thermodynamics. In the dynamics of Brownian localization, due to the memory damping function inducing a constant term, our results show that the stationary distribution of the system depends on its initial preparation of coordinate rather than momentum. The coupled oscillator chain with a fixed end boundary acts as a heat bath, which has long been used in studies of collinear atom/solid-surface scattering and lattice vibration, we investigate this problem from the viewpoint of nonergodicity.
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titleBrownian localization: A generalized coupling model yielding a nonergodic Langevin equation description - Brownian localization: A generalized coupling model yielding a nonergodic Langevin equation description
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abstractA minimal system-plus-reservoir model yielding a nonergodic Langevin equation is proposed, which originates from the cubic-spectral density of environmental oscillators and momentum-dependent coupling. This model allows ballistic diffusion and classical localization simultaneously, in which the fluctuation-dissipation relation is still satisfied but the Khinchin theorem is broken. The asymptotical equilibrium for a nonergodic system requires the initial thermal equilibrium, however, when the system starts from nonthermal conditions, it does not approach the equilibration even though a nonlinear potential is used to bound the particle, this can be confirmed by the zerotb law of thermodynamics. In the dynamics of Brownian localization, due to the memory damping function inducing a constant term, our results show that the stationary distribution of the system depends on its initial preparation of coordinate rather than momentum. The coupled oscillator chain with a fixed end boundary acts as a heat bath, which has long been used in studies of collinear atom/solid-surface scattering and lattice vibration, we investigate this problem from the viewpoint of nonergodicity.
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