It has been shown that in complex viscous systems is common the random absorption and desorption of particles. We study a bidimensional chain of interacting particles including random interactions with locally fluctuating particles [3]. The system is assumed to be over-damped and driven by an external potential that is periodic both in space and time in the x direction [1] [2]. Through numerical simulations we analyse the effect of this fluctuating interactions on the collective transport of the system, as a function of the external force and the strength of the coupling between neighbouring particles. Influence of a thermal bath is also studied by means of the efect of Gaussian white noise in the transport. We can see different phenomena including stochastic resonance due to the fluctuating interactions and current inversions due to thermal noise and large driving forces.

References

[1] A.J. Fendrik, M. Reale and L. Romanelli, Transport properties and current inversion by white Gaussian noise in a coupled ratchet model, Physica A 390, 3932-3937, (2011).

[2] A.J. Fendrik, M. Reale and L. Romanelli, Currents in defective coupled ratchets, Physical Review E 85, 041149, (2012).

[3] Huiqi Wang, Feixiang Ni, Lifeng Lin, Wangyong Lv, Hongqiang Zhu Transport behaviors of locally fractional coupled Brownian motors with fluctuating interactions, Physica A 505, 124-135, (2018).

[4] Debashis Barik, Pulak Kumar Ghosh and Deb Shankar Ray, Langevin dynamics with dichotomous noise; direct simulation and applications, Journal of Statistical Mechanics: Theory and Experiment, Vol 2006, (2006).