Mode-coupling theory for the steady-state dynamics of active Brownian particles
We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a many-particle evolution equation for the probability distrib...
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| Published in | The Journal of chemical physics Vol. 150; no. 12; p. 124901 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
United States
28.03.2019
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| Online Access | Get more information |
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| Summary: | We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a many-particle evolution equation for the probability distribution of the particles' positions. Second, we use the projection operator technique and a mode-coupling-like factorization approximation to derive an equation of motion for the density correlation function. The nonequilibrium character of the active system manifests itself through the presence of a steady-state correlation function that quantifies spatial correlations of microscopic steady-state currents of the particles. This function determines the dependence of the short-time dynamics on the activity. It also enters into the expression for the memory matrix and thus influences the long-time glassy dynamics. |
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| ISSN: | 1089-7690 |
| DOI: | 10.1063/1.5085752 |