Rheological effects in the linear response and spontaneous fluctuations of a sheared granular gas
Statistical Mechanics
2012-12-18 v1 Soft Condensed Matter
Abstract
The decay of a small homogeneous perturbation of the temperature of a dilute granular gas in the steady uniform shear flow state is investigated. Using kinetic theory based on the inelastic Boltzmann equation, a closed equation for the decay of the perturbation is derived. The equation involves the generalized shear viscosity of the gas in the time-dependent shear flow state, and therefore it predicts relevant rheological effects beyond the quasi-elastic limit. A good agreement is found when comparing the theory with molecular dynamics simulation results. Moreover, the Onsager postulate on the regression of fluctuations is fulfilled.
Keywords
Cite
@article{arxiv.1212.3937,
title = {Rheological effects in the linear response and spontaneous fluctuations of a sheared granular gas},
author = {J. Javier Brey and P. Maynar and M. I. Garcia de Soria},
journal= {arXiv preprint arXiv:1212.3937},
year = {2012}
}