Scaling of non-Gaussian velocity distributions in sheared hard-sphere suspensions
J. Harting, and H. Herrmann. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
The velocity probability distribution function (PDF) of sheared non-Brownian
hard-sphere suspensions can show a pronounced deviation from a Gaussian with
the tails of the distribution being higher than expected. We investigate such
suspensions by means of coupled Molecular Dynamics and lattice Boltzmann
simulations and demonstrate that the PDF can be fitted by a Gaussian for very
low velocities, but shows exponential behavior over more than six orders of
magnitude of probability for higher particle velocities. Further, we show that
the PDFs scale with the shear rate as well as the particle volume
concentration. In contrast to results published by other authors, we do not
find any transition from Gaussian to exponential tails by varying the particle
volume concentration, but demonstrate that such transitions can be due to
insufficient statistics.
%0 Book Section
%1 statphys23_1038
%A Harting, J.
%A Herrmann, H.J.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K behaviour distribution function non-brownian non-gaussian probability statphys23 suspensions topic-7
%T Scaling of non-Gaussian velocity distributions in sheared hard-sphere suspensions
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1038
%X The velocity probability distribution function (PDF) of sheared non-Brownian
hard-sphere suspensions can show a pronounced deviation from a Gaussian with
the tails of the distribution being higher than expected. We investigate such
suspensions by means of coupled Molecular Dynamics and lattice Boltzmann
simulations and demonstrate that the PDF can be fitted by a Gaussian for very
low velocities, but shows exponential behavior over more than six orders of
magnitude of probability for higher particle velocities. Further, we show that
the PDFs scale with the shear rate as well as the particle volume
concentration. In contrast to results published by other authors, we do not
find any transition from Gaussian to exponential tails by varying the particle
volume concentration, but demonstrate that such transitions can be due to
insufficient statistics.
@incollection{statphys23_1038,
abstract = {The velocity probability distribution function (PDF) of sheared non-Brownian
hard-sphere suspensions can show a pronounced deviation from a Gaussian with
the tails of the distribution being higher than expected. We investigate such
suspensions by means of coupled Molecular Dynamics and lattice Boltzmann
simulations and demonstrate that the PDF can be fitted by a Gaussian for very
low velocities, but shows exponential behavior over more than six orders of
magnitude of probability for higher particle velocities. Further, we show that
the PDFs scale with the shear rate as well as the particle volume
concentration. In contrast to results published by other authors, we do not
find any transition from Gaussian to exponential tails by varying the particle
volume concentration, but demonstrate that such transitions can be due to
insufficient statistics.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Harting, J. and Herrmann, H.J.},
biburl = {https://www.bibsonomy.org/bibtex/20c0d29dbead9fa2c05e133dcf0d8ff48/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {1eaf891eb3d5cd045add89f97c737acc},
intrahash = {0c0d29dbead9fa2c05e133dcf0d8ff48},
keywords = {behaviour distribution function non-brownian non-gaussian probability statphys23 suspensions topic-7},
month = {9-13 July},
timestamp = {2007-06-20T10:16:37.000+0200},
title = {Scaling of non-Gaussian velocity distributions in sheared hard-sphere suspensions},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1038},
year = 2007
}