首页> 外文期刊>The Journal of Chemical Physics >Thermally activated escape rate for the Brownian motion of a fixed axis rotator in a double well potential for all values of the dissipation
【24h】

Thermally activated escape rate for the Brownian motion of a fixed axis rotator in a double well potential for all values of the dissipation

机译:对于所有耗散值,在双阱势中固定轴旋转器的布朗运动的热激活逸出率

获取原文
获取原文并翻译 | 示例
           

摘要

The extension of the Kramers theory of the escape rate of a Brownian particle from a potential well to the entire range of damping proposed by Mel'nikov and Meshkov [J.Chem,Phys.85,1018 (1986)] is applied to the rotational Brownian motion of fixed axis rotators in a double well cosine potential.The procedure yields an expression for the Kramers escape rate valid for all values of the dissipation including the very low damping (VLD),very high damping (VHD),and crossover regimes.This equation provides a good asymptotic estimate of the correlation time T of the longitudinal dipole moment correlation function calculated by solving the underlying Langevin equation using the matrix-continued fraction method.Moreover,for low barriers,where the Mel'nikov and Meshkov approach is not applicable,analytic equations for tau_(II) in the VLD and VHD limits are derived and a simple extrapolating equation that is valid for all values of the damping is proposed.
机译:布朗粒子从势阱到Mel'nikov和Meshkov提出的整个阻尼范围的Kramers理论的扩展[J.Chem,Phys.85,1018(1986)]被应用于旋转固定轴旋转器在双井余弦势中的布朗运动。该程序产生的Kramers逸出率表达式适用于所有耗散值,包括非常低的阻尼(VLD),非常高的阻尼(VHD)和交叉状态。该方程提供了一个很好的渐近估计的纵向偶极矩相关函数的相关时间T ,通过使用矩阵连续分数法求解基本的Langevin方程计算得出。此外,对于低势垒,其中采用梅尔尼科夫和Meshkov方法不适用,推导了VLD和VHD极限中tau_(II)的解析方程,并提出了一个对所有阻尼值均有效的简单外推方程。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号