Three and four current reversals versus temperature in correlation ratchets with a simple sawtooth potential

Abstract

Transport of Brownian particles in a simple sawtooth potential subjected to both unbiased thermal and nonequilibrium symmetric three-level Markovian noise is considered. The effects of three and four current reversals as a function of temperature are established in such correlation ratchets. The parameter space coordinates of the fixed points associated with these current reversals and the necessary and sufficient conditions for the existence of the current reversals are found.

Current bifurcation, reversals and multiple mobility transitions of dipole in alternating electric fields

“…This means that there exists multiple current reversals in the system. [30][31][32] In order to catch some insight into the multiple current reversals, the dependence of v on ω 2 at different angular frequencies ω 1 of normalized field F ⊥ (t) is shown in Fig. 3.…”

Current inversion in a periodically driven two-dimensional Brownian ratchet

“…Brownian ratchets have also revealed current reversals in response to variations of parameters such as the driving frequency [48][49][50], the noise [34,36,[51][52][53], the shape of the energy landscape [54], and the particle-particle interaction strength [55]. Sometimes even multiple inversions have been reported [56][57][58].…”

Using tensor network states for multi-particle Brownian ratchets

“…Introduction.-The rectification of thermal noise into directed motion via a ratchet effect has attracted sustained fascination and attention [1][2][3][4]. Theoretical studies of that ratcheting effect are dominated by models of one-body dynamics driven by a time-dependent potential, with a particular focus on how the generated current varies with system parameters like a driving frequency [5][6][7] or the diffusion constant [8][9][10][11]. These models have captured the essential ratcheting effect and have guided experimental efforts, but they leave out an important control that experimentalists have over their systems: the collective effects that can emerge out of interactions between multiple ratcheted particles [12][13][14][15][16].…”