STATISTICAL PROPERTIES OF DYNAMICALLY GENERATED ANOMALOUS DIFFUSION

被引:35
|
作者
PIKOVSKY, AS [1 ]
机构
[1] ACAD SCI USSR, INST APPL PHYS, ULYANOV ST 46, GORKI 603600, USSR
来源
PHYSICAL REVIEW A | 1991年 / 43卷 / 06期
关键词
D O I
10.1103/PhysRevA.43.3146
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We consider a one-dimensional Lorenz-type mapping with slowly decaying correlation function, which produces anomalous diffusion with squared displacement growing faster then linearly. The statistical properties of the process are investigated by means of diffusion-index calculation. A simple approximation for probability distribution gives a good estimate for these indices.
引用
下载
收藏
页码:3146 / 3148
页数:3
相关论文
共 50 条
  • [41] Statistical Properties of a Virtual Cohort for In Silico Trials Generated with a Statistical Anatomy Atlas
    Antonino A. La Mattina
    Fabio Baruffaldi
    Mark Taylor
    Marco Viceconti
    Annals of Biomedical Engineering, 2023, 51 : 117 - 124
  • [42] A dynamically consistent exponential scheme to solve some advection-reaction equations with Riesz anomalous diffusion
    Macias-Diaz, J. E.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 378
  • [43] Self-similar motion for modeling anomalous diffusion and nonextensive statistical distributions
    Huang, Zhifu
    Su, Guozhen
    El Kaabouchi, Aziz
    Wang, Qiuping A.
    Chen, Jincan
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,
  • [44] Statistical test for anomalous diffusion based on empirical anomaly measure for Gaussian processes
    Szarek, Dawid
    Maraj-Zygmat, Katarzyna
    Sikora, Grzegorz
    Krapf, Diego
    Wylomanska, Agnieszka
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2022, 168
  • [45] STATISTICAL PROPERTIES OF INTERMITTENT DIFFUSION IN CHAOTIC SYSTEMS
    GEISEL, T
    NIERWETBERG, J
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1984, 56 (01): : 59 - 68
  • [46] The Information Content and Statistical Properties of Diffusion Indexes
    Pinto, Santiago
    Sarte, Pierre-Daniel
    Sharp, Robert
    INTERNATIONAL JOURNAL OF CENTRAL BANKING, 2020, 16 (04): : 47 - 99
  • [47] Statistical properties of type V intermittent diffusion
    Wu, SG
    Zhao, SY
    Qu, SX
    Gao, ZH
    He, DR
    CHINESE PHYSICS LETTERS, 1997, 14 (04): : 248 - 251
  • [48] Dynamically generated hierarchies in games of competition
    Brown, Barton L.
    Meyer-Ortmanns, Hildegard
    Pleimling, Michel
    PHYSICAL REVIEW E, 2019, 99 (06)
  • [49] Tailoring the content of dynamically generated explanations
    Bontcheva, K
    USER MODELING 2001, PROCEEDINGS, 2001, 2109 : 213 - 215
  • [50] Web accessibility for dynamically generated websites
    Mooney, Peter
    PROCEEDINGS OF THE IASTED INTERNATIONAL CONFERENCE ON HUMAN-COMPUTER INTERACTION, 2005, : 203 - 208