We study the linear response in different models of driven granular gases. In some situations, even if the velocity statistics can be strongly non-Gaussian, we do not observe appreciable violations of the Einstein formula for diffusion versus mobility. The situation changes when strong correlations between velocities and density are present: in this case, although a form of fluctuation-dissipation relation holds, the differential velocity response of a particle and its velocity self-correlation are no longer proportional. This happens at high densities and strong inelasticities, but still in the fluid-like (and ergodic) regime.
%0 Journal Article
%1 vulpiofdt2007
%A Puglisi, A.
%A A.Baldassarri,
%A A.Vulpiani,
%D 2007
%J J. Stat. Mech.
%K 2007 fdt fluids gases granular myown puglisi simulation violation vulpiani
%P P08016
%T Violation of the Einstein relation in Granular Fluids: the role of correlations
%U http://www.iop.org/EJ/abstract/1742-5468/2007/08/P08016
%X We study the linear response in different models of driven granular gases. In some situations, even if the velocity statistics can be strongly non-Gaussian, we do not observe appreciable violations of the Einstein formula for diffusion versus mobility. The situation changes when strong correlations between velocities and density are present: in this case, although a form of fluctuation-dissipation relation holds, the differential velocity response of a particle and its velocity self-correlation are no longer proportional. This happens at high densities and strong inelasticities, but still in the fluid-like (and ergodic) regime.
@article{vulpiofdt2007,
abstract = {We study the linear response in different models of driven granular gases. In some situations, even if the velocity statistics can be strongly non-Gaussian, we do not observe appreciable violations of the Einstein formula for diffusion versus mobility. The situation changes when strong correlations between velocities and density are present: in this case, although a form of fluctuation-dissipation relation holds, the differential velocity response of a particle and its velocity self-correlation are no longer proportional. This happens at high densities and strong inelasticities, but still in the fluid-like (and ergodic) regime.},
added-at = {2008-01-09T17:13:02.000+0100},
author = {Puglisi, A. and A.Baldassarri and A.Vulpiani},
biburl = {https://www.bibsonomy.org/bibtex/251ebe0693dff4a5b9200e7d57bca0466/andreab},
interhash = {e84b843b181669dfc03a07428eb41947},
intrahash = {51ebe0693dff4a5b9200e7d57bca0466},
journal = {J. Stat. Mech.},
keywords = {2007 fdt fluids gases granular myown puglisi simulation violation vulpiani},
month = {August},
pages = {P08016},
timestamp = {2008-01-09T17:13:03.000+0100},
title = {Violation of the Einstein relation in Granular Fluids: the role of correlations},
url = {http://www.iop.org/EJ/abstract/1742-5468/2007/08/P08016},
year = 2007
}