Generalized kinetic equations and effective thermodynamics

• Autorzy: Pierre-Henri Chavanis
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 66
• Numer: 1
• Strony: 79-101

Daty

wydano

2004

Twórcy

autor

Pierre-Henri Chavanis

• Laboratoire de Physique Théorique, Université, Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France

Identyfikatory

DOI

10.4064/bc66-0-6