VIRIAL THEOREM FOR ROTATING SELF-GRAVITATING BROWNIAN PARTICLES AND TWO-DIMENSIONAL POINT VORTICES

DOI10.1142/S0217979212410020zbMath1257.82041arXiv0902.0287MaRDI QIDQ4907660

Pierre-Henri Chavanis

Publication date: 21 February 2013

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0287

zbMATH Keywords

Brownian motionlong-range interactionsvirial theorem

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Statistical thermodynamics (82B30)

Related Items (2)

Gravitational phase transitions with an exclusion constraint in position space ⋮ STABLE AND UNSTABLE EQUILIBRIA OF UNIFORMLY ROTATING SELF-GRAVITATING CYLINDERS

Cites Work

• Statistical mechanics of gravitating systems
• Initiation of slime mold aggregation viewed as an instability
• Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations
• Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations
• Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
• Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence
• The micro-canonical point vortex ensemble: Beyond equivalence
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
• Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. I. Overdamped models
• Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. II. Inertial models
• PHASE TRANSITIONS IN SELF-GRAVITATING SYSTEMS
• Colloidal Dispersions
• Exact Statistical Thermodynamics of Gravitational Interactions in One and Two Dimensions
• Tensor Virial Equations

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