Transportation of Two Coupled Particles in an Asymmetric Saw-Tooth Potential
Ling-Wei Kong1,2 , Rong-Zheng Wan1** , Hai-Ping Fang1
1 Division of Interfacial Water, Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 2018002 University of Chinese Academy of Sciences, Beijing 100049
Abstract ：Based on a simple model, we theoretically show the transport behaviors of two harmonically coupled Brownian particles in an asymmetric saw-tooth potential with two slopes. The coupled particles are subject to stochastic fluctuations. It is found that when the equilibrium distance of the coupled particles is between the two slopes of the potential, the transport direction of the coupled particles will be reversed with a certain harmonic coupling strength. This current reversal can be easily understood with the near rigid approximation, where the two coupled particles can be regarded as a single particle in an effective potential. Compared with the original saw-tooth potential, the asymmetry of the effective potential could be reversed when the equilibrium distance is between the two slopes of the original potential, which results in the current reversal.
收稿日期: 2015-11-19
出版日期: 2016-02-26
:
05.10.Gg
(Stochastic analysis methods)
05.40.-a
(Fluctuation phenomena, random processes, noise, and Brownian motion)
05.60.Cd
(Classical transport)
[1] Reimann P 2002 Phys. Rep. 361 57 2013 Physica A 392 4850 2013 Sci. Chin. Phys. Mech. Astron. 56 1047 2012 Sci. Chin. Phys. Mech. Astron. 55 751 2010 Sci. Chin. Phys. Mech. Astron. 53 1565 2015 Chin. Phys. B 24 040501 2011 Phys. Rev. Lett. 106 168104 2009 Rev. Mod. Phys. 81 387 2012 Nanotechnology 23 395501 2005 Chin. Phys. Lett. 22 2772 2003 Phys. Rev. E 68 051101 2009 Science 326 1241 1998 Eur. Biophys. J. 27 474 1997 Rev. Mod. Phys. 69 1269 2000 Science 288 88 1998 Science 280 69 2000 Phys. Status Solidii. A 182 585 2009 J. Chem. Phys. 130 164101 2012 Chin. Phys. B 21 020502 2010 J. Colloid Interface Sci. 341 376 2015 Phys. Rev. Lett. 115 164502 2005 Chin. Phys. Lett. 22 503 2003 Chin. Phys. Lett. 20 810 1993 Phys. Rev. Lett. 71 1477 2006 Phys. Rev. E 74 041125 2000 Phys. Rev. E 61 312 2000 Phys. Rev. Lett. 84 258 1996 Phys. Rev. Lett. 76 3436 1994 Europhys. Lett. 28 459 Acta Phys. Pol. B 27 663 1994 Phys. Rev. Lett. 72 1766 1994 Phys. Rev. Lett. 72 2652 2014 J. Chem. Phys. 140 214108 2003 Physica A 318 40 2001 Phys. Rev. E 63 031914 2006 Phys. Rev. E 73 051106 2008 Phys. Rev. E 77 031136 2004 Physica A 337 13 2006 Phys. Lett. A 359 90 2005 Physica A 351 79 2015 Eur. Phys. J. B 88 1 2010 Phys. Rev. E 82 046208 2012 Phys. Rev. E 85 061132 1998 Physica D 113 157 2010 Chem. Phys. 375 464 1997 Phys. Rev. E 56 3976 1996 Phys. Lett. A 218 292 2008 Eur. Phys. J. B 61 67 2011 Chaos 21 047503 2009 Chin. Phys. Lett. 26 040502
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
LÜYan**;BAO Jing-Dong
. Inertial Lévy Flight with Nonlinear Friction
[9]
LIU Yu-Zhi;AN Hai-Long;ZHANG Su-Hua;YU Hui;ZHAN Yong;ZHANG Hai-Lin. Electrostatic Interactions Determining the Selectivity of KcsA Channel and Its Mutants
[10]
C. F. Lo. Dynamics of Fokker-Planck Equation with Logarithmic Coefficients and Its Application in Econophysics
[11]
ZHAO Liang;LUO Xiao-Qin;WU Dan;ZHU Shi-Qun;GU Ji-Hua. Entropic Stochastic Resonance Driven by Colored Noise
[12]
AN Hai-Long;LIU Yu-Zhi;ZHANG Su-Hua;ZHAN Yong;ZHANG Hai-Lin. Properties of Hydrated Alkali Metals Aimed at the Ion Channel Selectivity
[13]
ZHAN Yong;AN Hai-Long;YU Hui;ZHANG Su-Hua;HAN Ying-Rong. Dynamical Properties of Potassium Ion Channels with a Hierarchical Model
[14]
ZHU Jian-Zhou. Intermittency Growth in Fluid Turbulence
[15]
ZHU Ping;CHEN Shi-Bo;MEI Dong-Cheng. Intensity Correlation Function and Associated Relaxation Time of a Saturation Laser Model with Correlated Noises
2016, Vol. 33 
