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 an asymmetrical double-well potential for all values of the dissipation
【24h】

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

机译:对于所有耗散值,在不对称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 Kramers theory of the escape rate of a Brownian particle from a potential well as extended by Mel'nikov and Meshkov,[J.Chem.Phys.85,1018(1986)] is used to evaluate the relaxation times and the dynamic susceptibility for the rotational Brownian motion of fixed axis rotators in an asymmetric double-well potential.An expression for the escape rate valid for all values of the dissipation including the very low damping(VLD),very high damping(VHD),and crossover regimes is derived.It is shown that this expression provides a good asymptotic estimate of the inverse of the smallest nonvanishing eigenvalue lambda_1 of the underlying Fokker-Planck operator calculated by using the matrix-continued fraction method.For low barriers,where the Mel'nikov and Meshkov approach is not applicable,analytic equations for the correlation time tau_|| of the longitudinal dipole correlation function in the VLD and VHD limits are derived and a simple extrapolating equation valid for all values of the damping is proposed.
机译:Mel'nikov和Meshkov扩展了布朗粒子从势阱中逸出率的Kramers理论[J.Chem.Phys.85,1018(1986)],用于评估弛豫时间和动态磁化率。在不对称双阱势中,固定轴旋转器的旋转布朗运动。导出了对所有耗散值有效的逃逸率表达式,包括非常低的阻尼(VLD),非常高的阻尼(VHD)和交叉状态结果表明,通过矩阵连续分数法可以计算出底层Fokker-Planck算子的最小无消失特征值lambda_1的逆的良好渐近估计。对于低势垒,采用Mel'nikov和Meshkov方法不适用,相关时间tau_ ||的解析方程推导了在VLD和VHD极限内的纵向偶极子相关函数的关系,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
  • 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