Time characteristics of Lévy flights in a steep potential well

被引：0
|
作者：
A.A. Dubkov
B. Spagnolo
机构：
[1] Lobachevsky State University,
[2] Radiophysics Faculty,undefined
[3] Università di Palermo,undefined
[4] Dipartimento di Fisica,undefined
[5] Group of Interdisciplinary Physics and CNISM,undefined
来源：
The European Physical Journal Special Topics | 2013年 / 216卷
关键词：
Correlation Time; European Physical Journal Special Topic; Noise Intensity; Kolmogorov Equation; Stationary Probability Distribution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Using the method previously developed for ordinary Brownian diffusion, we derive a new formula to calculate the correlation time of stationary Lévy flights in a steep potential well. For the symmetric quartic potential, we obtain the exact expression of the correlation time of steady-state Lévy flights with index α = 1. The correlation time of stationary Lévy flights decreases with an increasing noise intensity and steepness of potential well.
引用
收藏
页码：31 / 35
页数：4
相关论文
共 50 条
  • [1] Lévy Flights in a Steep Potential Well
    Aleksei V. Chechkin
    Vsevolod Yu. Gonchar
    Joseph Klafter
    Ralf Metzler
    Leonid V. Tanatarov
    Journal of Statistical Physics, 2004, 115 : 1505 - 1535
  • [2] Time characteristics of Levy flights in a steep potential well
    Dubkov, A. A.
    Spagnolo, B.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2013, 216 (01): : 31 - 35
  • [3] Levy flights in a steep potential well
    Chechkin, AV
    Gonchar, VY
    Klafter, J
    Metzler, R
    Tanatarov, LV
    JOURNAL OF STATISTICAL PHYSICS, 2004, 115 (5-6) : 1505 - 1535
  • [4] Dynamical continuous time random Lévy flights
    Jian Liu
    Xiaosong Chen
    The European Physical Journal B, 2016, 89
  • [5] L,vy flights and L,vy-Schrodinger semigroups
    Garbaczewski, Piotr
    CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2010, 8 (05): : 699 - 708
  • [6] Lévy flights and Lévy walks under stochastic resetting
    Zbik, Bartosz
    Dybiec, Bartlomiej
    PHYSICAL REVIEW E, 2024, 109 (04)
  • [7] L,vy flights in evolutionary ecology
    Jourdain, Benjamin
    Meleard, Sylvie
    Woyczynski, Wojbor A.
    JOURNAL OF MATHEMATICAL BIOLOGY, 2012, 65 (04) : 677 - 707
  • [8] Lévy flights in evolutionary ecology
    Benjamin Jourdain
    Sylvie Méléard
    Wojbor A. Woyczynski
    Journal of Mathematical Biology, 2012, 65 : 677 - 707
  • [9] Scintillations and Interstellar Lévy Flights
    Stanislav Boldyrev
    Carl R. Gwinn
    Astrophysics and Space Science, 2004, 292 : 147 - 153
  • [10] Geodesic Lévy flights and expected stopping time for random searches
    Chaubet, Yann
    Bonthonneau, Yannick Guedes
    Lefeuvre, Thibault
    Tzou, Leo
    PROBABILITY THEORY AND RELATED FIELDS, 2025, 191 (1-2) : 235 - 285
12345