Non-equilibrium statistical field theory for classical particles

• Verfasst von: Viermann, Celia [VerfasserIn]
• Verfasst von: Fabis, Felix [VerfasserIn]
• Verfasst von: Kozlikin, Elena [VerfasserIn]
• Verfasst von: Lilow, Robert [VerfasserIn]
• Verfasst von: Bartelmann, Matthias [VerfasserIn]
• Titel: Non-equilibrium statistical field theory for classical particles
• Titelzusatz: basic kinetic theory
• Verf.angabe: Celia Viermann, Felix Fabis, Elena Kozlikin, Robert Lilow, Matthias Bartelmann
• Fussnoten: Gesehen am 18.09.2017
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 2015
• Band/Heft Quelle: (2015) Artikel-Nummer 1411.2809, 13 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1563569361

Abstract

Recently Mazenko and Das and Mazenko introduced a non-equilibrium field theoretical approach to describe the statistical properties of a classical particle ensemble starting from the microscopic equations of motion of each individual particle. We use this theory to investigate the transition from those microscopic degrees of freedom to the evolution equations of the macroscopic observables of the ensemble. For the free theory, we recover the continuity and Jeans equations of a collisionless gas. For a theory containing two-particle interactions in a canonical perturbation series, we find the macroscopic evolution equations to be described by the Born-Bogoliubov-Green-Kirkwood-Yvon hierarchy (BBGKY hierarchy) with a truncation criterion depending on the order in perturbation theory. This establishes a direct link between the classical and the field-theoretical approaches to kinetic theory that might serve as a starting point to investigate kinetic theory beyond the classical limits.