Effective equilibrium states in mixtures of active particles driven by colored noise
- Wittmann, René Department of Physics, University of Fribourg, Switzerland
- Brader, Joseph M. Department of Physics, University of Fribourg, Switzerland
- Sharma, Abhinav Leibniz-Institut für Polymerforschung Dresden, Germany
- Marini Bettolo Marconi, Umberto Scuola di Scienze e Tecnologie, Universit? di Camerino, Camerino, INFN Perugia, Italy
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04.01.2018
Published in:
- Physical Review E. - 2018, vol. 97, no. 1, p. 012601
English
We consider the steady-state behavior of pairs of active particles having different persistence times and diffusivities. To this purpose we employ the active Ornstein- Uhlenbeck model, where the particles are driven by colored noises with exponential correlation functions whose intensities and correlation times vary from species to species. By extending Fox's theory to many components, we derive by functional calculus an approximate Fokker-Planck equation for the configurational distribution function of the system. After illustrating the predicted distribution in the solvable case of two particles interacting via a harmonic potential, we consider systems of particles repelling through inverse power-law potentials. We compare the analytic predictions to computer simulations for such soft-repulsive interactions in one dimension and show that at linear order in the persistence times the theory is satisfactory. This work provides the toolbox to qualitatively describe many-body phenomena, such as demixing and depletion, by means of effective pair potentials.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Physique
- Language
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- English
- Classification
- Physics
- License
- License undefined
- Identifiers
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- RERO DOC 306767
- DOI 10.1103/PhysRevE.97.012601
- Persistent URL
- https://folia.unifr.ch/unifr/documents/306441
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