Continuous Time Random Walk and different diffusive regimes

被引:4
作者
Ribeiro, Haroldo Valentin [1 ]
Rossato, Roberto [1 ]
Tateishi, Angel Akio [1 ]
Lenzi, Ervin Kaminski [1 ]
Mendes, Renio dos Santos [1 ]
机构
[1] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, Parana, Brazil
关键词
random walk; anomalous diffusion; diffusive regimes; ANOMALOUS DIFFUSION; PARTICLE DIFFUSION; EQUATION; EQUILIBRIUM; DYNAMICS;
D O I
10.4025/actascitechnol.v34i2.11521
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We investigate how it is possible to obtain different diffusive regimes from the Continuous Time Random Walk (CTRW) approach performing suitable changes for the waiting time and jumping distributions in order to get two or more regimes for the same diffusive process. We also obtain diffusion-like equations related to these processes and investigate the connection of the results with anomalous diffusion.
引用
收藏
页码:201 / 206
页数:6
相关论文
共 50 条
  • [1] Environment-dependent continuous time random walk
    Lin Fang
    Bao Jing-Dong
    CHINESE PHYSICS B, 2011, 20 (04)
  • [2] Different diffusive regimes, generalized Langevin and diffusion equations
    Tateishi, A. A.
    Lenzi, E. K.
    da Silva, L. R.
    Ribeiro, H. V.
    Picoli, S., Jr.
    Mendes, R. S.
    PHYSICAL REVIEW E, 2012, 85 (01):
  • [3] A continuous time random walk model with multiple characteristic times
    Fa, Kwok Sau
    Mendes, R. S.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,
  • [4] Record statistics of continuous time random walk
    Sabhapandit, Sanjib
    EPL, 2011, 94 (02)
  • [5] Correlated continuous time random walk with time averaged waiting time
    Lv, Longjin
    Ren, Fu-Yao
    Wang, Jun
    Xiao, Jianbin
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 422 : 101 - 106
  • [6] Dynamical continuous time random walk
    Liu, Jian
    Yang, Bo
    Chen, Xiaosong
    Bao, Jing-Dong
    EUROPEAN PHYSICAL JOURNAL B, 2015, 88 (04)
  • [7] From quenched disorder to continuous time random walk
    Burov, Stanislav
    PHYSICAL REVIEW E, 2017, 96 (05)
  • [8] Continuous time random walk with jump length correlated with waiting time
    Liu, Jian
    Bao, Jing-Dong
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (04) : 612 - 617
  • [9] Effective Jump Length of Coupled Continuous Time Random Walk
    Liu Jian
    Bao Jing-Dong
    CHINESE PHYSICS LETTERS, 2013, 30 (02)
  • [10] Continuous-time random walk theory of superslow diffusion
    Denisov, S. I.
    Kantz, H.
    EPL, 2010, 92 (03)