We develop an exact Green-Kubo formula relating nonequilibrium averages in systems of interacting active Brownian particles to equilibrium time-correlation functions. The method is applied to calculate the density-dependent average swim speed, which is a key quantity entering coarse grained theories of active matter. The average swim speed is determined by integrating the equilibrium autocorrelation function of the interaction force acting on a tagged particle. Analytical results are validated using Brownian dynamics simulations.
@article{arxiv.1608.08095,
title = {Green-Kubo approach to the average swim speed in active Brownian systems},
author = {A. Sharma and J. M. Brader},
journal= {arXiv preprint arXiv:1608.08095},
year = {2016}
}