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运用动力学连续时间无规行走模型研究有效阻尼

发表时间:2009-08-15  浏览量:1523  下载量:517
全部作者: 林方,包景东
作者单位: 四川大学物理科学与技术学院;北京师范大学物理学系
摘 要: 提出了一种推广的连续时间无规行走模型,即动力学连续时间无规行走模型,该模型克服了传统连续时间无规行走模型只能模拟过阻尼系统的不足,并且适用于研究任意给定外部势场中任意功率指数系统的输运问题。该模型用于研究反常阻尼振子的动力学共振和有效阻尼,发现当反常指数α<0�4时,系统总是处于有效欠阻尼状态。
关 键 词: 统计物理;反常扩散;连续时间无规行走;有效阻尼;动力学共振
Title: Application of dynamical continuous time random walk model in effective damping research
Author: LIN Fang, BAO Jingdong
Organization: School of Physical Science and Technology, Sichuan University;Department of Physics, Beijing Normal University
Abstract: In this paper, a generalized continuous time random walk model named dynamical continuous time random walk model is proposed. The traditional continuous time random walk model can simulate overdamped systems only; however, the generalized one has overcome this shortage and can be applied to study anomalous transport process with arbitrary power index in arbitrary given potentials. The dynamical continuous time random walk model is applied to investigate the dynamical resonance behavior of an anomalous damped harmonic oscillator and the effective damping. An interesting phenomenon is discovered that the system is always in the underdamped condition when the extraordinary index is smaller than 0.4.
Key words: statistical physics; anomalous diffusion; continuous time random walk; effective damping; dynamical resonance
发表期数: 2009年8月第15期
引用格式: 林方,包景东. 运用动力学连续时间无规行走模型研究有效阻尼[J]. 中国科技论文在线精品论文,2009,2(15):1519-1525.
 
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