论文标题
在过度阻尼状态下的尖端屏障的分析逃逸速率的准确性
Accuracy of the analytical escape rate for a cusp barrier in the overdamping regime
论文作者
论文摘要
第一次，在数值中检查了过度阻尼的机制，对尖端屏障（$ r_k $）的热衰减速率（$ r_k $）的近似分析kramers公式的准确性。数值的准率$ r_d $，据信在统计错误中确切的数值，通过随机langevin型动力学方程的计算机建模来评估统计误差。 $ r_k $和$ r_d $之间的协议显着取决于与热能相比的摩擦强度和屏障的高度。 $ r_k $和$ r_d $之间的差异随着无尺寸阻尼参数$ ϕ $的减少，但并不小于10-20％。观察到$ r_k $和$ r_d $之间的差异的意外增长。
For the first time, the accuracy of the approximate analytical Kramers formula for the thermal decay rate over a cusp barrier, $R_K$, is checked numerically for the overdamping regime. The numerical quasistationary rate, $R_D$, which is believed to be exact within the statistical errors is evaluated by means of computer modeling of the stochastic Langevin-type dynamical equations. The agreement between $R_K$ and $R_D$ significantly depends upon the friction strength and the height of the barrier in comparison to the thermal energy. The difference between $R_K$ and $R_D$ decreases with the dimensionless damping parameter $ϕ$, however, does not become smaller than 10-20%. The unexpected growth of the difference between $R_K$ and $R_D$ with the governing parameter is observed.
