Srokowski T
Institute of Nuclear Physics, PL-31-342 Krakow, Poland.
Phys Rev Lett. 2000 Sep 11;85(11):2232-5. doi: 10.1103/PhysRevLett.85.2232.
We solve the generalized Langevin equation driven by a stochastic force with a power-law autocorrelation function. A stationary Markov process has been applied as a model of the noise. However, the resulting velocity variance does not stabilize but diminishes with time. It is shown that algebraic distributions can induce such effects. Results are compared to those obtained with a deterministic random force. Consequences for the diffusion process are also discussed.
我们求解了由具有幂律自相关函数的随机力驱动的广义朗之万方程。一个平稳马尔可夫过程已被用作噪声模型。然而，所得的速度方差并未稳定，而是随时间减小。结果表明，代数分布会引发此类效应。将结果与用确定性随机力得到的结果进行了比较。还讨论了对扩散过程的影响。
