Giant Enhancement of Diffusion in a Tilted Egg-Carton Potential
Yang Song, Jing-Dong Bao**
Department of Physics, Beijing Normal University, Beijing 100875
Abstract :Diffusion of a particle on a tilted periodic surface such as the egg-carton potential is investigated using Langevin Monte Carlo simulations. It is found that the effective diffusion coefficient of the particle related to the one-dimensional case can be greatly enhanced, when the local minima of such potential along the $x$ and $y$ directions are close to vanishing. A relation between the group diffusion and the phase diffusion is used to analyze the enhancement mechanism of the diffusion.
收稿日期: 2015-10-20
出版日期: 2016-02-26
[1] Antonio B and Gianfranco P 1982 Physics and Applications of the Josephson Effect (New York: Wiley Press) [2] Kautz R L 1996 Rep. Prog. Phys. 59 935 [3] Reguera D, Rubi J M and Pérez-Madrid A 2000 Phys. Rev. E 62 5313 [4] Fulde P, Pietronero L, Schneider W R and Str?ssler S 1975 Phys. Rev. Lett. 35 1776 [5] Gruner G, Zawadowski A and Chaikin P M 1981 Phys. Rev. Lett. 46 511 [6] Frenken J W M and Van der Veen J F 1985 Phys. Rev. Lett. 54 134 [7] Nixon G I and Slater G W 1996 Phys. Rev. E 53 4969 [8] Reimann P 2002 Phys. Rep. 361 57 [9] Bao J D and Zhuo Y Z 1998 Phys. Lett. A 239 228 [10] Bao J D 2000 Phys. Lett. A 267 122 [11] Khoury M, Lacasta A M, Sancho J M and Lindenberg K 2011 Phys. Rev. Lett. 106 090602 [12] Reimann P, Van den Broeck C, Linke H, H?nggi P, Rubi J M and Pérez-Madrid A 2001 Phys. Rev. Lett. 87 010602 Reimann P, Van den Broeck C, Linke H, H?nggi P, Rubi J M and Pérez-Madrid A 2002 Phys. Rev. E 65 031104 [13] Gang H, Daffertshofer A and Haken H 1996 Phys. Rev. Lett. 76 4874 [14] Reimann P and Eichhorn R 2008 Phys. Rev. Lett. 101 180601 [15] Lü K and Bao J D 2007 Phys. Rev. E 76 061119 [16] Caratti G, Ferrando R, Spadacini R and Tommei G E 1996 Phys. Rev. E 54 4708 [17] Hjelt T and Ala-Nissila T 2000 Surf. Sci. 454 562 [18] Bao J D and Liu J 2013 Phys. Rev. E 88 022153
[1]
. [J]. 中国物理快报, 2021, 38(5): 50701-.
[2]
. [J]. 中国物理快报, 2017, 34(5): 50201-.
[3]
. [J]. 中国物理快报, 2017, 34(1): 10301-010301.
[4]
. [J]. 中国物理快报, 2015, 32(5): 50503-050503.
[5]
. [J]. 中国物理快报, 2014, 31(12): 120502-120502.
[6]
. [J]. Chin. Phys. Lett., 2013, 30(2): 20202-020202.
[7]
. [J]. 中国物理快报, 2012, 29(10): 104705-104705.
[8]
HE Gui-Tian, LUO Mao-Kang. Weak Signal Frequency Detection Based on a Fractional-Order Bistable System [J]. 中国物理快报, 2012, 29(6): 60204-060204.
[9]
LÜYan**;BAO Jing-Dong
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[10]
C. F. Lo. Dynamics of Fokker-Planck Equation with Logarithmic Coefficients and Its Application in Econophysics [J]. 中国物理快报, 2010, 27(8): 80503-080503.
[11]
ZHANG Li;CAO Li. Effect of Correlated Noises in a Genetic Model [J]. 中国物理快报, 2010, 27(6): 60504-060504.
[12]
YANG Yue;HU Han-Ping;XIONG Wei;CHEN Jiang-Hang
. Network Traffic Anomaly Detection Method Based on a Feature of Catastrophe Theory [J]. 中国物理快报, 2010, 27(6): 60501-060501.
[13]
MENG Qing-Kuan;ZHU Jian-Yang. Self-Organization of Weighted Networks in Connection with the Misanthrope Process [J]. 中国物理快报, 2009, 26(8): 86401-086401.
[14]
HAN Li-Bo;GONG Xiao-Long;CAO Li;WU Da-Jin. Influence of Coloured Correlated Noises on Probability Distribution and Mean of Tumour Cell Number in the Logistic Growth Model [J]. 中国物理快报, 2007, 24(3): 632-635.
[15]
ZHONG Wei-Rong;SHAO Yuan-Zhi;HE Zhen-Hui. Correlated Noises in a Prey--Predator Ecosystem [J]. 中国物理快报, 2006, 23(3): 742-745.