Dynamical continuous time random Lévy flights

详细信息    查看全文

• 作者：Jian Liu ; Xiaosong Chen
• 关键词：Statistical and Nonlinear Physics
• 刊名：The European Physical Journal B - Condensed Matter
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：89
• 期：3
• 全文大小：780 KB
• 参考文献：1.J.-P. Bouchaud, A. Georges, Phys. Rep. 195, 127 (1990)ADS MathSciNet CrossRef
  2.S. Havlin, D. Ben-Avrahm, Adv. Phys. 36, 695 (1987)ADS CrossRef
  3.R. Metzler, J.H. Jeon, A.G. Cherstvy, E. Barkai, Phys. Chem. Chem. Phys. 16, 24128 (2014)CrossRef
  4.J.D. Bao, Y.Z. Zhuo, Phys. Rev. Lett. 91, 138104 (2003)ADS CrossRef
  5.E.W. Montroll, G.H. Weiss, J. Math. Phys. 6, 167 (1965)ADS MathSciNet CrossRef
  6.H. Scher, E.W. Montroll, Phys. Rev. B 12, 2455 (1975)ADS CrossRef
  7.R. Metzler, J. Klafter, Phys. Rep. 339, 1 (2000)ADS MathSciNet CrossRef
  8.W. Haus, K.W. Kehr, Phys. Rep. 150, 263 (1987)ADS CrossRef
  9.Y. Sagi, M. Brook, I. Almog, N. Davidson, Phys. Rev. Lett. 108, 093002 (2012)ADS CrossRef
  10.D.A. Kessler, E. Barkai, Phys. Rev. Lett. 108, 230602 (2012)ADS CrossRef
  11.V. Zaburdaev, S. Denisov, P. Hänggi, Phys. Rev. Lett. 110, 170604 (2013)ADS CrossRef
  12.J. Liu, B. Yang, X.S. Chen, J.D. Bao, Eur. Phys. J. B 88, 88 (2015)ADS MathSciNet CrossRef
  13.S. Jespersen, R. Metzler, H.C. Fogedby, Phys. Rev. E 59, 2736 (1999)ADS CrossRef
  14.J. Klafter, M.F. Shlesinger, G. Zumofen, Phys. Today 49, 33 (1996)CrossRef
  15.D. del-Castillo-Negrete, B.A. Carreras, V.E. Lynch, Phys. Rev. Lett. 94, 065003 (2005)ADS CrossRef
  16.A. Carati, L. Galani, B. Pozzi, Phys. Rev. Lett. 90, 010601 (2003)ADS CrossRef
  17.K. Matia, L.A. Nunes Amaral, S.P. Goodwin, H.E. Stanley, Phys. Rev. E 66, 045103(R) (2002)ADS CrossRef
  18.D. del-Castillo-Negrete, V. Yu. Gonchar, A.V. Chechkin, Physica A 387, 6693 (2008)ADS CrossRef
  19.R. Metzler, J. Klafter, J. Phys. A 37, R1 (2004)MathSciNet CrossRef
  20.M.F. Shlesinger, B.J. West, J. Klafter, Phys. Rev. Lett. 58, 11 (1987)MathSciNet CrossRef
  21.J. Klafter, A. Blumen, M.F. Shlesinger, Phys. Rev. A 35, 7 (1987)MathSciNet CrossRef
  22.R.N. Mantegna, H.E. Staley, Phys. Rev. Lett. 73, 2946 (1994)ADS MathSciNet CrossRef
  23.I. Koponen, Phys. Rev. E 52, 1197 (1995)ADS CrossRef
  24.A.V. Chechkin, V.Y. Gonchar, J. Klafter, R. Metzler, Phys. Rev. E 72, 010101(R) (2005)ADS MathSciNet CrossRef
  25.B. Lindner, New J. Phys. 12, 063026 (2010)ADS CrossRef
  26.J.D. Bao, J. Liu, Phys. Rev. E 88, 022153 (2013)ADS CrossRef
  27.R. Metzler, Phys. Rev. E 62, 6233 (2000)ADS MathSciNet CrossRef
  28.R. Metzler, E. Barkai, J. Klafter, Europhys. Lett. 46, 431 (1999)ADS MathSciNet CrossRef
  29.D. Fulger, E. Scalas, G. Germano, Phys. Rev. E 77, 021122 (2008)ADS CrossRef
  30.E. Hensalu, M. Patriarca, I. Goychuk, G. Schmid, P. Hänggi, Phys. Rev. E 73, 046133 (2006)ADS CrossRef
  
• 作者单位：Jian Liu (1) (2)
  Xiaosong Chen (2)
  
  1. School of Science, Beijing Technology and Business University, Beijing, 100048, P.R. China
  2. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, P.R. China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Condensed Matter
  Physics
  Complexity
  Fluids
  Solid State Physics and Spectroscopy
  Superconductivity, Superfluidity and Quantum Fluids
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1434-6036

文摘

The Lévy flights’ diffusive behavior is studied within the framework of the dynamical continuous time random walk (DCTRW) method, while the nonlinear friction is introduced in each step. Through the DCTRW method, Lévy random walker in each step flies by obeying the Newton’s Second Law while the nonlinear friction f(v) = −γ ₀ v −γ ₂ v 3 being considered instead of Stokes friction. It is shown that after introducing the nonlinear friction, the superdiffusive Lévy flights converges, behaves localization phenomenon with long time limit, but for the Lévy index μ = 2 case, it is still Brownian motion.