Scaling argument of anisotropic random walk
文献类型：期刊论文
| 作者 | Xu, BZ; Jin, GJ; Wang, FF |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2005-03-15 |
| 卷号 | 43页码:449-454 |
| 关键词 | scaling anisotropic random walk average square end-to-end distance returning probability |
| ISSN号 | 0253-6102 |
| 英文摘要 | In this paper, we analytically discuss the scaling properties of the average square end-to-end distance < R-2 > for anisotropic random walk in D-dimensional space (D >= 2), and the returning probability P-n(r(0)) for the walker into a certain neighborhood of the origin. We will not only give the calculating formula for < R-2 > and P-n(r(0)), but also point out that if there is a symmetric axis for the distribution of the probability density of a single step displacement, we always obtain < R-perpendicular to n(2) > similar to n, where perpendicular to refers to the projections of the displacement perpendicular to each symmetric axes of the walk; in D-dimensional space with D symmetric axes perpendicular to each other, we always have < R-n(2)> similar to n and the random walk will be like a purely random motion; if the number of inter-perpendicular symmetric axis is smaller than < R-n(2)> similar to n(2) the dimensions of the space, we must have n for very large n and the walk will be like a ballistic motion. It is worth while to point out that unlike the isotropic random walk in one and two dimensions, which is certain to return into the neighborhood of the origin, generally there is only a nonzero probability for the anisotropic random walker in two dimensions to return to the neighborhood. |
| WOS关键词 | SELF-ATTRACTING WALK ; RANDOM-MEDIA ; MODEL ; DIFFUSION ; BEHAVIOR |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000228149400015 |
| 出版者 | INT ACADEMIC PUBL |
| 源URL | [http://119.78.100.186/handle/113462/25543]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Xu, BZ |
| 作者单位 | 1.Nanjing Univ, Natl Lab Solid State Microstruct, Nanjing 210093, Peoples R China 2.Ningbo Univ, Inst Modern Phys, Ningbo 315211, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, BZ,Jin, GJ,Wang, FF. Scaling argument of anisotropic random walk[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2005,43:449-454. |
| APA | Xu, BZ,Jin, GJ,&Wang, FF.(2005).Scaling argument of anisotropic random walk.COMMUNICATIONS IN THEORETICAL PHYSICS,43,449-454. |
| MLA | Xu, BZ,et al."Scaling argument of anisotropic random walk".COMMUNICATIONS IN THEORETICAL PHYSICS 43(2005):449-454. |
入库方式： OAI收割
来源：近代物理研究所
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