Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. II. Inertial models

DOI10.1103/PhysRevE.73.066104zbMath1244.82037OpenAlexW4236308215WikidataQ51935405 ScholiaQ51935405MaRDI QIDQ2903695

Pierre-Henri Chavanis, Clément Sire

Publication date: 12 August 2012

Published in: Physical Review E (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physreve.73.066104

zbMATH Keywords

virial theoremself-gravitating Brownian particles

Mathematics Subject Classification ID

Galactic and stellar structure (85A15) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (11)

Generalized stochastic Fokker-Planck equations ⋮ Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. I. Overdamped models ⋮ Self-gravitating Brownian particles in two dimensions: the case of \(N = 2\) particles ⋮ Brownian particles with long- and short-range interactions ⋮ VIRIAL THEOREM FOR ROTATING SELF-GRAVITATING BROWNIAN PARTICLES AND TWO-DIMENSIONAL POINT VORTICES ⋮ Nonequilibrium statistical mechanics of systems with long-range interactions ⋮ Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations ⋮ Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions ⋮ A stochastic Keller-Segel model of chemotaxis ⋮ Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data ⋮ PHASE TRANSITIONS IN SELF-GRAVITATING SYSTEMS

Cites Work

• Statistical mechanics of gravitating systems
• Initiation of slime mold aggregation viewed as an instability
• Gravitational instability of finite isothermal spheres
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• On the lifetime of metastable states in self-gravitating systems
• Gravitational instability of isothermal and polytropic spheres

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