Dynamics of Brownian motors in deformable medium

Vibrational resonance in an oscillator with an asymmetrical deformable potential

“…Remoissenet and Peyrard [47,48] proposed deformable models of nonlinear systems with deformable periodic substrate potential V RP (x, r), where the parameter, r is the deformable po-tential parameter which determines the shape of the potential. The potential V RP (x, r), now often known as the Remoissenet-Peyrard-potential, plays a significant role in one-dimensional atomic chains and has become a subject of diverse research focus [49][50][51][52][53][54][55][56][57][58][59][60][61]. Earlier studies, for instance, Nana, et al [49] used Melnikov theory to predict the onset of chaotic behaviour of a particle in an asymmetric doubly-periodic potential.…”

“…Mali et al [53] observed the appearance of large subharmonic Shapiro steps due to deviations from the sinusoidal potential. More recently, stochastic resonance [54], Farey sequences and Shapiro steps [55], anomalous transport and diffusion phenomena [56][57][58], current reversals [59], and jump diffusion [60], as well as Devil's staircases [61], have all been investigated. In general, the dynamical and statistical properties are strongly dependent on the variation of the biharmonic parameter, the shape parameter and the phase-lag.…”