Sub-diffusive scaling with power-law trapping times  

作　　者：罗亮 汤雷翰 

机构地区：[1]Beijing Computational Science Research Center [2]Department of Physics and Institute of Computational and Theoretical Studies,Hong Kong Baptist University

出　　处：《Chinese Physics B》2014年第7期64-72,共9页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 11175013);the Research Grants Council of the Hong Kong Special Administrative Region,China (Grant No. N HKBU 213/10)

摘　　要：Thermally driven diffusive motion of a particle underlies many physical and biological processes. In the presence of traps and obstacles, the spread of the particle is substantially impeded, leading to subdiffusive scaling at long times. The statistical mechanical treatment of diffusion in a disordered environment is often quite involved. In this short review, we present a simple and unified view of the many quantitative results on anomalous diffusion in the literature, including the scaling of the diffusion front and the mean first-passage time. Varioust analytic calculations and physical arguments are examined to highlight the role of dimensionality, energy landscape, and rare events in affecting the particle trajectory statistics. The general understanding that emerges will aid the interpretation of relevant experimental and simulation results.Thermally driven diffusive motion of a particle underlies many physical and biological processes. In the presence of traps and obstacles, the spread of the particle is substantially impeded, leading to subdiffusive scaling at long times. The statistical mechanical treatment of diffusion in a disordered environment is often quite involved. In this short review, we present a simple and unified view of the many quantitative results on anomalous diffusion in the literature, including the scaling of the diffusion front and the mean first-passage time. Varioust analytic calculations and physical arguments are examined to highlight the role of dimensionality, energy landscape, and rare events in affecting the particle trajectory statistics. The general understanding that emerges will aid the interpretation of relevant experimental and simulation results.

关 键 词：anomalous diffusion subdiffusive scaling random walk in a disordered medium glass transition 

分 类 号：O552.1[理学—热学与物质分子运动论]