Generalized kinetic equations and effective thermodynamics

Pierre-Henri Chavanis. "Generalized kinetic equations and effective thermodynamics." Banach Center Publications 66.1 (2004): 79-101. <http://eudml.org/doc/281845>.

@article{Pierre2004,
abstract = {We introduce a new class of nonlocal kinetic equations and nonlocal Fokker-Planck equations associated with an effective generalized thermodynamical formalism. These equations have a rich physical and mathematical structure that can describe phase transitions and blow-up phenomena. On general grounds, our formalism can have applications in different domains of physics, astrophysics, hydrodynamics and biology. We find an aesthetic connexion between topics (stars, vortices, bacteries,...) which were previously disconnected. The common point between these systems is the (attractive) long-range nature of the interactions.},
author = {Pierre-Henri Chavanis},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {79-101},
title = {Generalized kinetic equations and effective thermodynamics},
url = {http://eudml.org/doc/281845},
volume = {66},
year = {2004},
}

TY - JOUR
AU - Pierre-Henri Chavanis
TI - Generalized kinetic equations and effective thermodynamics
JO - Banach Center Publications
PY - 2004
VL - 66
IS - 1
SP - 79
EP - 101
AB - We introduce a new class of nonlocal kinetic equations and nonlocal Fokker-Planck equations associated with an effective generalized thermodynamical formalism. These equations have a rich physical and mathematical structure that can describe phase transitions and blow-up phenomena. On general grounds, our formalism can have applications in different domains of physics, astrophysics, hydrodynamics and biology. We find an aesthetic connexion between topics (stars, vortices, bacteries,...) which were previously disconnected. The common point between these systems is the (attractive) long-range nature of the interactions.
LA - eng
UR - http://eudml.org/doc/281845
ER -