Self-propelled particle in an external potential: existence of an effective temperature
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 e...
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| Published in | Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 90; no. 1; p. 012111 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
United States
14.07.2014
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| Subjects | |
| Online Access | Get more information |
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| Abstract | 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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| AbstractList | 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. |
| Author | Szamel, Grzegorz |
| Author_xml | – sequence: 1 givenname: Grzegorz surname: Szamel fullname: Szamel, Grzegorz organization: Department of Chemistry, Colorado State University, Fort Collins, Colorado 80525, USA |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/25122255$$D View this record in MEDLINE/PubMed |
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| Title | Self-propelled particle in an external potential: existence of an effective temperature |
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