Abstract
We study a Langevin equation describing the stochastic motion of a particle in one dimension with coordinate , which is simultaneously exposed to a space-dependent friction coefficient , a confining potential and nonequilibrium (i.e., active) noise. Specifically, we consider frictions and potentials with exponents and . We provide analytical and numerical results for the particle dynamics for short times and the stationary probability density functions (PDFs) for long times. The short-time behavior displays diffusive and ballistic regimes while the stationary PDFs display unique characteristic features depending on the exponent values . The PDFs interpolate between Laplacian, Gaussian, and bimodal distributions, whereby a change between these different behaviors can be achieved by a tuning of the friction strengths ratio . Our model is relevant for molecular motors moving on a one-dimensional track and can also be realized for confined self-propelled colloidal particles.
2 More- Received 19 February 2021
- Accepted 14 April 2021
DOI:https://doi.org/10.1103/PhysRevE.103.052602
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