On the analogy between self-gravitating Brownian particles and bacterial populations

Pierre-Henri Chavanis, et al. "On the analogy between self-gravitating Brownian particles and bacterial populations." Banach Center Publications 66.1 (2004): 103-126. <http://eudml.org/doc/282071>.

@article{Pierre2004,
abstract = {We develop the analogy between self-gravitating Brownian particles and bacterial populations. In the high friction limit, the self-gravitating Brownian gas is described by the Smoluchowski-Poisson system. These equations can develop a self-similar collapse leading to a finite time singularity. Coincidentally, the Smoluchowski-Poisson system corresponds to a simplified version of the Keller-Segel model of bacterial populations. In this biological context, it describes the chemotactic aggregation of the bacterial colonies. We extend these classical models by introducing a small-scale regularization. In the gravitational context, we consider a gas of self-gravitating Brownian fermions and in the biological context we consider finite size effects. In that case, the collapse stops when the system feels the influence of the small-scale regularization. A phenomenon of "explosion", reverse to the collapse, is also possible.},
author = {Pierre-Henri Chavanis, Magali Ribot, Carole Rosier, Clément Sire},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {103-126},
title = {On the analogy between self-gravitating Brownian particles and bacterial populations},
url = {http://eudml.org/doc/282071},
volume = {66},
year = {2004},
}

TY - JOUR
AU - Pierre-Henri Chavanis
AU - Magali Ribot
AU - Carole Rosier
AU - Clément Sire
TI - On the analogy between self-gravitating Brownian particles and bacterial populations
JO - Banach Center Publications
PY - 2004
VL - 66
IS - 1
SP - 103
EP - 126
AB - We develop the analogy between self-gravitating Brownian particles and bacterial populations. In the high friction limit, the self-gravitating Brownian gas is described by the Smoluchowski-Poisson system. These equations can develop a self-similar collapse leading to a finite time singularity. Coincidentally, the Smoluchowski-Poisson system corresponds to a simplified version of the Keller-Segel model of bacterial populations. In this biological context, it describes the chemotactic aggregation of the bacterial colonies. We extend these classical models by introducing a small-scale regularization. In the gravitational context, we consider a gas of self-gravitating Brownian fermions and in the biological context we consider finite size effects. In that case, the collapse stops when the system feels the influence of the small-scale regularization. A phenomenon of "explosion", reverse to the collapse, is also possible.
LA - eng
UR - http://eudml.org/doc/282071
ER -