Negative mobility of a Brownian particle: strong damping regime
arXiv:1705.03661 · doi:10.1016/j.cnsns.2017.07.018
Abstract
We study impact of inertia on directed transport of a Brownian particle under non-equilibrium conditions: the particle moves in a one-dimensional periodic and symmetric potential, is driven by both an unbiased time-periodic force and a constant force, and is coupled to a thermostat of temperature T. Within selected parameter regimes this system exhibits negative mobility, which means that the particle moves in the direction opposite to the direction of the constant force. It is known that in such a setup the inertial term is essential for the emergence of negative mobility and it cannot be detected in the limiting case of overdamped dynamics. We analyse inertial effects and show that negative mobility can be observed even in the strong damping regime. We determine the optimal dimensionless mass for the presence of negative mobility and reveal three mechanisms standing behind this anomaly: deterministic chaotic, thermal noise induced and deterministic non-chaotic. The last origin has never been reported. It may provide guidance to the possibility of observation of negative mobility for strongly damped dynamics which is of fundamental importance from the point of view of biological systems, all of which in situ operate in fluctuating environments.
References in corpus (14)
- Artificial Brownian motors: Controlling transport on the nanoscale
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Absolute negative mobility induced by thermal equilibrium fluctuations
- Observation of negative absolute resistance in a Josephson junction
- Giant Negative Mobility of Janus Particles in a Corrugated Channel
- Brownian motors in micro-scale domain: Enhancement of efficiency by noise
- Brownian ratchet in a thermal bath driven by Coulomb friction
- GPU accelerated Monte Carlo simulation of Brownian motors dynamics with CUDA
- Entropic electrokinetics: recirculation, particle separation and negative mobility
- Nonlinear response of inertial tracers in steady laminar flows: differential and absolute negative mobility
- Josephson junction ratchet: effects of finite capacitances
- Brownian ratchets: How stronger thermal noise can reduce diffusion
- Interaction-induced negative mobility: realization in a system of two coupled Josephson junctions
- Gaussian white noise as a resource for microscopic engines
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- Anomalous transport in driven periodic systems: distribution of the absolute negative mobility effect in the parameter space
- Arcsine Law and Multistable Brownian Dynamics in a Tilted Periodic Potential
- Time-dependent probability density functions and information geometry in stochastic logistic and Gompertz models
- Anomalous transport of a classical wave-particle entity in a tilted potential
- Paradoxical nature of negative mobility in the weak dissipation regime
- Death and resurrection of a current by disorder, interaction or activity