On the number of unstable modes of an equilibrium
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This article is published in Monthly Notices of the Royal Astronomical Society.The article was published on 1978-08-01 and is currently open access. It has received 166 citations till now.read more
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Statistical mechanics and dynamics of solvable models with long-range interactions
TL;DR: In this article, a comprehensive review of the recent advances on the statistical mechanics and out-of-equilibrium dynamics of solvable systems with long-range interactions is presented, as exemplified by the exact solution, in the microcanonical and canonical ensembles, of mean-field type models.
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Statistical mechanics of gravitating systems
TL;DR: The statistical description of a system containing a large number of particles which interact via Newtonian gravity is discussed in this paper, which exhibits several peculiarities due to the long range, unshielded nature of the gravitational interaction.
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Negative specific heat in astronomy, physics and chemistry
TL;DR: In this article, the authors review progress in the understanding of gravitational thermodynamics and pinpoint the error in the proof that all systems have positive specific heat and say when it can occur and discuss the development of the thermal runaway in both the gravothermal catastrophe and its inverse.
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Phase transitions in self-gravitating systems
TL;DR: In this paper, the authors compare the microcanonical evolution of stellar systems from the canonical evolution of self-gravitating Brownian particles, and show that at low energies, self-aggravitating Hamiltonian systems experience a gravothermal catastrophe in the micro-canonical ensemble.
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Generalized thermodynamics and Fokker-Planck equations: applications to stellar dynamics and two-dimensional turbulence.
TL;DR: A class of generalized Fokker-Planck equations that conserve energy and mass and increase a generalized entropy functional until a maximum entropy state is reached are introduced and the idea of a classification of generalized entropies in "classes of equivalence" is proposed.