Random Long-Range Interaction Induced Synchronization in Coupled Networks of Inertial Ratchets
WEI Du-Qu1**, LUO Xiao-Shu1, CHEN Hong-Bin2, ZHANG Bo3
1College of Electronic Engineering, Guangxi Normal University, Guilin 541004 2College of Engineering and Information Science, Huaqiao University, Xiamen 361021 3 College of Electric Power, South China University of Technology, Guangzhou 510640
Random Long-Range Interaction Induced Synchronization in Coupled Networks of Inertial Ratchets
WEI Du-Qu1**, LUO Xiao-Shu1, CHEN Hong-Bin2, ZHANG Bo3
1College of Electronic Engineering, Guangxi Normal University, Guilin 541004 2College of Engineering and Information Science, Huaqiao University, Xiamen 361021 3 College of Electric Power, South China University of Technology, Guangzhou 510640
摘要We investigate how the random long-range interactions affect the synchronization features in networks of inertial ratchets, where each ratchet is driven by a periodic time-dependent external force, under the influence of an asymmetric periodic potential. It is found that for a given coupling strength C, the synchronization of the coupled ratchets is induced as the fraction of random long−range interactions p increases and the ratchet networks reach full synchronization for a larger p. It is also found that the system reaches synchronization more effectively for a stronger coupling strength.
Abstract：We investigate how the random long-range interactions affect the synchronization features in networks of inertial ratchets, where each ratchet is driven by a periodic time-dependent external force, under the influence of an asymmetric periodic potential. It is found that for a given coupling strength C, the synchronization of the coupled ratchets is induced as the fraction of random long−range interactions p increases and the ratchet networks reach full synchronization for a larger p. It is also found that the system reaches synchronization more effectively for a stronger coupling strength.
[1] Jülicher F, Ajdari A and Prost J 1997 Rev. Mod. Phys. 69 1269 and references therein
[2] Sun L X 2009 Chin. Phys. Lett. 26 040502
[3] Ustinov A V, Coqui C, Kemp A, Zolotaryuk Y and Salerno M 2004 Phys. Rev. Lett. 93 087001
[4] Hastings M B, Olson Reichhardt C J and Reichhardt C 2003 Phys. Rev. Lett. 90 247004
[5] Babič D and Bechinger C 2005 Phys. Rev. Lett. 94 148303
[6] Jung P, Kissner J G and Hünggi P 1996 Phys. Rev. Lett. 76 3436
[7] Qian M, Wang Y and Zhang X J 2003 Chin. Phys. Lett. 20 810
[8] Hänggi P and Bartussek R 1996 Nonlinear Physics of Complex Systems-Current Status and Future Trends in Lecture Notes in Physics vol 476 ed Parisi J, Müller S C and Zimmermann W (Berlin: Springer, )
[9] Ai B Q, Xie H Z and Liu L G 2005 Chin. Phys. Lett. 22 2772
Astumian R D and Hänggi P 2002 Phys. Today 55 33
[10] Mateos J L 2000 Phys. Rev. Lett. 84 258
[11] Mateos J L 2003 Physica A 325 92
[12] Vale R D et al 2000 Science 288 88
[13] Endow S A et al 2000 Nature 406 913
[14] Wang H, Dou S X and Wang P Y 2005 Chin. Phys. Lett. 22 2980
[15] Savel'ev S, Marchesoni F and Nori F 2003 Phys. Rev. Lett. 91 010601
[16] Alberts B 2002 The Molecular Biology of Cell (New York: Garland)
[17] Vincent U E, Kenfack A, Senthilkumar D V, Mayer D and Kurths J 2010 Phys. Rev. E 82 046208
[18] Goko H and Igarashi A 2005 Phys. Rev. E 71 061108
[19] Csahók Z, Family F and Vicsek T 1997 Phys. Rev. E 55 5179
[20] Zheng Z, Hu G and Hu B 2001 Phys. Rev. Lett. 86 2273
[21] Zheng Z, Cross M C and Hu G 2002 Phys. Rev. Lett. 89 154102
Chen H, Wang Q and Zheng Z 2005 Phys. Rev. E 71 031102
Zheng Z and Chen H 2010 Europhys. Lett. 92 30004
[22] Zheng Z 2004 Spatiotemporal Dynamics and Collective Behaviors in Coupled Nonlinear Systems (Beijing: Higher Education Press) (in Chinese)
[23] Watts D J and Strogatz S H 1998 Nature 393 6684
[24] Newman M E J and Watts D J 1999 Phys. Rev. E 60 7332
[25] Ma J, Yang L J, Wu Y and Zhang C R 2010 Commun. Theor. Phys 54 583
[26] Wei D Q, Luo X S and Qin Y H 2008 Physica A 387 2155
[27] Qin Y H and Luo X S 2009 Chin. Phys. Lett. 26 078901
[28] Wang Q Y and Lu Q S 2005 Chin. Phys. Lett. 22 1329
[29] Wei D Q and Luo X S 2007 Europhys. Lett. 78 68004
[30] Qi F, Hou Z and Xin H 2003 Phys. Rev. Lett. 91 064102
2011, Vol. 28 
