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Transport coefficients of self-propelled particles: Reverse perturbations and transverse current correlations by Nikoubashman, Arash; Ihle, Thomas is a scholarly article available to read on EtoBox.

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The reverse perturbation method [Phys. Rev. E 59, 4894 (1999)] for shearing simple liquids and measuring their viscosity is extended to the Vicsek-model (VM) of active particles [Phys. Rev. Lett. 75, 1226 (1995)] and its metric-free version. The sheared systems exhibit a phenomenon that is similar to the skin effect of an alternating electric current: momentum that is fed into the boundaries of a layer decays mostly exponentially towards the center of the layer. It is shown how two transport coefficients, i.e. the shear viscosity $\nu$ and the momentum amplification coefficient $\lambda$, can be obtained by fitting this decay with an analytical solution of the hydrodynamic equations for the VM. The viscosity of the VM consists of two parts, a kinetic and a collisional contribution. While analytical predictions already exist for the former, a novel expression for the collisional part is derived by an Enskog-like kinetic theory. To verify the predictions for the transport coefficients, Green-Kubo relations were evaluated and transverse current correlations were measured in independent simulations. Not too far to the transition to collective motion, we find excellent agreement between

Author

Nikoubashman, Arash; Ihle, Thomas

Published

2019

Language

EN