Diffusion in different models of active Brownian motion |
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Authors: | B. Lindner E. M. Nicola |
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Affiliation: | 1. Max-Planck-Institut für Physik komplexer Systeme, N?thnitzer Stra?e 38, 01187, Dresden, Germany
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Abstract: | Active Brownian particles (ABP) have served as phenomenological models of self-propelled motion in biology. We study the effective diffusion coefficient of two one-dimensional ABP models (simplified depot model and Rayleigh-Helmholtz model) differing in their nonlinear friction functions. Depending on the choice of the friction function the diffusion coefficient does or does not attain a minimum as a function of noise intensity. We furthermore discuss the case of an additional bias breaking the left-right symmetry of the system. We show that this bias induces a drift and that it generally reduces the diffusion coefficient. For a finite range of values of the bias, both models can exhibit a maximum in the diffusion coefficient vs. noise intensity. |
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