二维非欧姆阻尼系统的时变势垒通过
Time-dependent barrier passage of Two-dimensional non-Ohmic damping system
摘要：
利用具有非欧姆记忆阻尼摩擦张量和相应热色噪声张量的广义Langevin方程（GLE）研究了粒子通过二维二次势能面鞍点时的反常阻尼系统的含时势垒通过.利用无功通量法，解析地得到了随时间变化的通过概率和透射系数。摩擦力的长记忆特性揭示了摩擦力的传递概率、粒子的最佳入射角和稳态反常透射系数之间存在非单调的$δ$（摩擦力的幂指数）关系。在较长的时间限制下，获得了较大的稳态透射系数，这意味着势垒的重穿越比一维情况少。
英文摘要：
The time-dependent barrier passage of an anomalous damping system is studied via the generalized Langevin equation (GLE) with non-Ohmic memory damping friction tensor and corresponding thermal colored noise tensor describing a particle passing over the saddle point of a two-dimensional quadratic potential energy surface. The time-dependent passing probability and transmission coefficient are analytically obtained by using of the reactive flux method. The long memory aspect of friction is revealed to originate a non-monotonic $δ$(power exponent of the friction) dependence of the passing probability, the optimal incident angle of the particle and the steady anomalous transmission coefficient. In the long time limit a bigger steady transmission coefficient is obtained which means less barrier recrossing than the one-dimensional case.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
