Huang Junxiang, Zhao Hong
Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, Fujian, China.
Phys Rev E. 2017 Mar;95(3-1):032209. doi: 10.1103/PhysRevE.95.032209. Epub 2017 Mar 10.
We investigate the diffusion behavior of a right triangular billiard system by transforming its dynamics to a two-dimensional piecewise map. We find that the diffusion in the momentum space is ultraslow, i.e., the mean squared displacement grows asymptotically as the square of the logarithm of time. The mechanism of the ultraslow diffusion behavior is explained and numerical evidence corroborating our conclusion is provided. The weak ergodicity breaking of the system is also discussed.
我们通过将其动力学转化为二维分段映射来研究直角三角形台球系统的扩散行为。我们发现动量空间中的扩散是超慢的，即平均平方位移随着时间对数的平方渐近增长。解释了超慢扩散行为的机制，并提供了证实我们结论的数值证据。还讨论了该系统的弱遍历性破坏。
