广义Kramers模型
Generalised Kramers model
摘要：
我们研究了一个特别概括的经典Kramers模型描述布朗粒子的外部潜力。广义模型包括随机力，其被建模为取决于粒子的位置以及时间的加性随机噪声。固定的解决方案的福克-普朗克方程进行了分析，在两个限制：弱外力，其中的解决方案是相当于增加的潜力相比，经典模型，和强外力，其中的解决方案产生一个非零概率通量的运动在一个周期性的潜在的反射对称性破缺。
英文摘要：
We study a particular generalisation of the classical Kramers model describing Brownian particles in the external potential. The generalised model includes the stochastic force which is modelled as an additive random noise that depends upon the position of the particle, as well as time. The stationary solution of the Fokker-Planck equation is analysed in two limits: weak external forcing, where the solution is equivalent to the increase of the potential compared to the classical model, and strong external forcing, where the solution yields a non-zero probability flux for the motion in a periodic potential with a broken reflection symmetry.
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