期刊
JOURNAL OF CHEMICAL PHYSICS
卷 142, 期 22, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.4922324
关键词
-
资金
- DFG [SPP 1726, SP 1382/3-1, ME 3571/2-1, LO 418/17-1]
Recently, we have derived an effective Cahn-Hilliard equation for the phase separation dynamics of active Brownian particles by performing a weakly non-linear analysis of the effective hydrodynamic equations for density and polarization [Speck et al., Phys. Rev. Lett. 112, 218304 (2014)]. Here, we develop and explore this strategy in more detail and show explicitly how to get to such a large-scale, mean-field description starting from the microscopic dynamics. The effective free energy emerging from this approach has the form of a conventional Ginzburg-Landau function. On the coarsest scale, our results thus agree with the mapping of active phase separation onto that of passive fluids with attractive interactions through a global effective free energy (motility-induced phase transition). Particular attention is paid to the square-gradient term necessary for the phase separation kinetics. We finally discuss results from numerical simulations corroborating the analytical results. (C) 2015 AIP Publishing LLC.
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