Journal
PHYSICAL REVIEW E
Volume 90, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.90.012111
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Funding
- European Research Council under the European Union's Seventh Framework Programme (FP7)/ERC [306845]
- NSF [CHE 1213401]
- Division Of Chemistry
- Direct For Mathematical & Physical Scien [1213401] Funding Source: National Science Foundation
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We study a stationary state of a single self-propelled, athermal particle in linear and quadratic external potentials. The self-propulsion is modeled as a fluctuating internal driving force evolving according to the Ornstein-Uhlenbeck process, independently of the state of the particle. Without an external potential, in the long time limit, the self-propelled particle moving in a viscous medium performs diffusive motion, which allows one to identify an effective temperature. We show that in the presence of a linear external potential the stationary state distribution has an exponential form with the sedimentation length determined by the effective temperature of the free self-propelled particle. In the presence of a quadratic external potential the stationary state distribution has a Gaussian form. However, in general, this distribution is not determined by the effective temperature of the free self-propelled particle.
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