Asymptotics of work distributions: the pre-exponential factor
Asymptotics of work distributions: the pre-exponential factor
复制标题
工作分布的渐近：指前因子
DOI：
10.1140/epjb/e2011-20133-y
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
A. Engel
中科院分区：
文献类型：
--
作者：
D. Nickelsen;A. Engel
我们确定了由朗之万方程描述的驱动随机系统的功分布的完全渐近行为。特别强调了指数前因子的计算，使结果不受可调参数的影响。将该方法应用于各种算例，结果与数值模拟结果吻合较好。对于频率随时间变化的抛物型势场的特殊情况，我们给出了功的渐近分布的泛函形式。
We determine the complete asymptotic behaviour of the work distribution in driven stochastic systems described by Langevin equations. Special emphasis is put on the calculation of the pre-exponential factor which makes the result free of adjustable parameters. The method is applied to various examples and excellent agreement with numerical simulations is demonstrated. For the special case of parabolic potentials with time-dependent frequencies, we derive a universal functional form for the asymptotic work distribution.