简化的随机Fermi-Ulam模型
The simplified stochastic Fermi-Ulam model revisited
摘要：
在相位随机化的简化费米-乌拉姆模型（SFUM）中，费米加速度的发展可以用动量空间中的随机行走来描述。在这个框架内的粒子速度的概率密度函数的演变是由福克-普朗克方程（FPE）。然而，在文献中的标准处理导致的结果，即使是在协议的数值结果，它是不一致的传输系数用于建设的FPE。在这项工作中，我们提出了一个一致的方案来描述费米加速，解决这个矛盾。
英文摘要：
The description of Fermi acceleration developing in the phase-randomized simplified Fermi-Ulam model (SFUM) can be achieved in terms of a random walk taking place in momentum space. Within this framework the evolution of the probability density function of particle velocities is determined by the Fokker-Planck equation (FPE). However, the standard treatment in the literature leads to a result, which even though is in agreement with the numerical results, it is inconsistent with the transport coefficients used for the construction of the FPE. In this work we present a consistent scheme for the description of Fermi acceleration, resolving this contradiction.
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