Work

GENERIC formalism of a Vlasov–Fokker–Planck equation and connection to large-deviation principles

Year: 2013

Type: article

Abstract: In this paper we discuss the connections between a Vlasov–Fokker–Planck equation and an underlying microscopic particle system, and we interpret those connections in the context of the GENERIC framework (Öttinger 2005 Beyond Equilibrium Thermodynamics (New York: Wiley-Interscience)). This interpretation provides (a) a variational formulation for GENERIC systems, (b) insight into the origin of this variational formulation, and (c) an explanation of the origins of the conditions that GENERIC places on its constitutive elements, notably the so-called degeneracy or non-interaction conditions. This work shows how the general connection between large-deviation principles on one hand and gradient-flow structures on the other hand extends to non-reversible particle systems.

Source: Nonlinearity

DOI: 10.1088/0951-7715/26/11/2951

Authors: Manh Hong Duong, Mark A Peletier, Johannes Zimmer

Institutions: Eindhoven University of Technology, University of Bath

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: European Commission

Award: Fronts and Interfaces in Science and Technology