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 systemplusreservoir model yielding a nonergodic Langevin equation is proposed, which originates from the cubicspectral density of environmental oscillators and momentumdependent 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.300305 
Main Author:  刘剑 
Other Authors:  王海燕 , 包景东 
Format:  Electronic Article 
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Quelle:  维普数据 (Chongqing VIP Information Co.) 
ID:  ISSN: 16741056 
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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 
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ispartof:  中国物理B：英文版  Chinese Physics, 2013, Issue 06, pp.300305 
description:  A minimal systemplusreservoir model yielding a nonergodic Langevin equation is proposed, which originates from the cubicspectral density of environmental oscillators and momentumdependent coupling. This model allows ballistic diffusion and classical localization simultaneously, in which the fluctuationdissipation 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/solidsurface 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: 16741056 
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