Vlasov Theory in Newtonian Gravity: Approach to Equilibrium, Phase Transitions, Gravothermal Catastrophe, and the Expanding Universe

DOI10.1080/00411450500274667zbMath1101.82020OpenAlexW1969861001MaRDI QIDQ5393869

Bruce N. Miller

Publication date: 24 October 2006

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450500274667

zbMATH Keywords

gravityphase transitionVlasov equationglobular clustercore collapsebifractal

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Galactic and stellar dynamics (85A05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (1)

Exactly integrable analogue of a one-dimensional gravitating system

Cites Work

• The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
• Numerical study of a billiard in a gravitational field
• The inner structure of Zeldovich pancakes
• Dynamical study of a first order gravitational phase transition
• On the number of unstable modes of an equilibrium
• On the decay of Burgers turbulence
• Asymptotic behavior of a planar perturbation in a three dimensional expanding Universe

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