1. Department of Physics, Beijing Normal University, Beijing 100875, China 2. College of Science, Hebei University of Architecture, Zhangjiakou 075000, China 3. Institute of Systems Science (ISS), Huaqiao University, Xiamen 361021, China 4. College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China
In this study, we investigate the collective directed transport of coupled Brownian particles in spatially symmetric periodic potentials under time-periodic pulsating modulations. We find that the coupling between two particles can induce symmetry breaking and consequently collective directed motion. Moreover, the direction of motion can be reversed under certain conditions. The dependence of directed current on various parameters is systematically studied. reverse motion can be achieved by modulating the coupling free length and the phase shift of the pulsating potential. The dynamical mechanism of these transport properties is understood in terms of the effective-potential theory and the space-time transformation invariance. The directed transport of coupled Brownian motors can be manipulated and optimized by adjusting the coupling strength, pulsating frequency, or noise intensity.
J. D. Bao and Y. Z. Zhuo, Biasing fluctuation model for directional stepping motion of molecular motor, Chin. Sci. Bull. 43(22), 1879 (1998)
https://doi.org/10.1007/BF02883463
H. Y. Wang and J. D. Bao, Kramers-type elastic ratchet model for ATP gating during kinesins mechanochemical cycle, Physica A 389(3), 433 (2010)
https://doi.org/10.1016/j.physa.2009.09.036
B. O. Yan, R. M. Miura, and Y. D. Chen, Direction reversal of fluctuation-induced biased Brownian motion on distorted ratchets, J. Theor. Biol. 210(2), 141 (2001)
https://doi.org/10.1006/jtbi.2000.2288
8
A. Pototsky, N. B. Janson, F. Marchesoni, and S. Savelev, Dipole rectification in an oscillating electric field, Europhys. Lett. 88(3), 30003 (2009)
https://doi.org/10.1209/0295-5075/88/30003
9
Z. G. Zheng, G. Hu, and B. Hu, Collective directional transport in coupled nonlinear oscillators without external bias, Phys. Rev. Lett. 86(11), 2273 (2001)
https://doi.org/10.1103/PhysRevLett.86.2273
10
S. von Gehlen, M. Evstigneev, and P. Reimann, Ratchet effect of a dimer with broken friction symmetry in a symmetric potential, Phys. Rev. E 79(3), 031114 (2009)
https://doi.org/10.1103/PhysRevE.79.031114
S. Gonçalves, C. Fusco, A. R. Bishop, and V. M. Kenkre, Bistability and hysteresis in the sliding friction of a dimer, Phys. Rev. B 72(19), 195418 (2005)
https://doi.org/10.1103/PhysRevB.72.195418
A. E. Filippov, J. Klafter, and M. Urbakh, Friction through dynamical formation and rupture of molecular bonds, Phys. Rev. Lett. 92(13), 135503 (2004)
https://doi.org/10.1103/PhysRevLett.92.135503
15
S. Maier, Y. Sang, T. Filleter, M. Grant, R. Bennewitz, E. Gnecco, and E. Meyer, Fluctuations and jump dynamics in atomic friction experiments, Phys. Rev. B 72(24), 245418 (2005)
https://doi.org/10.1103/PhysRevB.72.245418
S. E. Mangioni and H. S. Wio, A random walker on a ratchet potential: effect of a non Gaussian noise, Eur. Phys. J. B 61(1), 67 (2008)
https://doi.org/10.1140/epjb/e2008-00027-y
M. Evstigneev, S. von Gehlen, and P. Reimann, Interaction-controlled Brownian motion in a tilted periodic potential, Phys. Rev. E 79(1), 011116 (2009)
https://doi.org/10.1103/PhysRevE.79.011116
22
C. Lutz, M. Reichert, H. Stark, and C. Bechinger, Surmounting barriers: The benefit of hydrodynamic interactions, Europhys. Lett. 74(4), 719 (2006)
https://doi.org/10.1209/epl/i2006-10017-9
Z. G. Zheng, M. C. Cross, and G. Hu, Collective directed transport of symmetrically coupled lattices in symmetric periodic potentials, Phys. Rev. Lett. 89(15), 154102 (2002)
https://doi.org/10.1103/PhysRevLett.89.154102
S. von Gehlen, M. Evstigneev, and P. Reimann, Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom, Phys. Rev. E 77(3), 031136 (2008)
https://doi.org/10.1103/PhysRevE.77.031136
27
A. D. Rogat and K. G. Miler, A role for myosin VI in actin dynamics at sites of membrane remodeling during Drosophila spermatogenesis, J. Cell Sci. 115(24), 4855 (2002)
https://doi.org/10.1242/jcs.00149
28
H. Park, A. Li, L. Q. Chen, A. Houdusse, P. R. Selvin, and H. L. Sweeney, The unique insert at the end of the myosin VI motor is the sole determinant of directionality, Proc. Natl. Acad. Sci. USA 104(3), 778 (2007)
https://doi.org/10.1073/pnas.0610066104
29
E. M. Delacruz, E. M. Ostap, and H. L. Sweeney, Kinetic mechanism and regulation of myosin VI, J. Biochem. 276(34), 32373 (2001)
30
S. Nishikawa, K. Homma, Y. Komori, M. Iwaki, T. Wazawa, A. Hikikoshi Iwone, J. Saito, R. Ikebe, E. Katayama, T. Yanagida, and M. Ikebe, Class VI myosin moves processively along Actin filaments backward with large steps, Biochem. Biophys. Res. Commun. 290(1), 311 (2002)
https://doi.org/10.1006/bbrc.2001.6142
31
J. C. Chen and G. Z. Su, Thermodynamics and Statistical Physics (Vol.1), Beijing: Science Press, 2010, pp 268–282
32
J. D. Bao, Stochastic Simulation Method of Classical and Quantum Dissipative Systems, Beijing: Science Press, 2009, pp 102–135
33
Z. G. Zheng, Collective Behaviors and Spatiotemporal Dynamics in Coupled Nonlinear System, Beijing: Higher Education Press, 2004, pp 278–347
34
H. B. Chen, Q. W. Wang, and Z. G. Zheng, Deterministic directed transport of inertial particles in a flashing ratchet potential, Phys. Rev. E 71(3), 031102 (2005)
https://doi.org/10.1103/PhysRevE.71.031102
