Symmetry Breaking in d-Dimensional Self-gravitating Systems

Abstract

Systems with long-range interactions, such as self-gravitating clusters and magnetically confined plasmas, do not relax to the usual Boltzmann-Gibbs thermodynamic equilibrium, but become trapped in quasi-stationary states (QSS) the life time of which diverges with the number of particles. The QSS are characterized by the lack of ergodicity which can result in a symmetry broken QSS starting from a spherically symmetric particle distribution. We will present a theory which allows us to quantitatively predict the instability threshold for spontaneous symmetry breaking for a class of d-dimensional self-gravitating systems.

5 pages, 4 figures. Accepted for publication in Physical Review Letters

References in corpus (5)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Nonequilibrium Statistical Mechanics of Systems with Long-Range Interactions: Ubiquity of Core-Halo Distributions
• Collisionless relaxation in non-neutral plasmas
• Collisionless relaxation in gravitational systems: From violent relaxation to gravothermal collapse
• Statistical Mechanics of Unbound Two Dimensional Self-Gravitating Systems

Cited by in corpus (7)

• Nonequilibrium stationary states of 3D self-gravitating systems
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• Radially anisotropic systems with $r^{-\alpha }$ forces. II: radial-orbit instability
• Entropy production and Vlasov equation for self-gravitating systems
• Universal structure of two and three dimensional self-gravitating systems in the quasi-equilibrium state
• Classical Goldstone modes in Long-Range Interacting Systems
• Numerical modeling of material points evolution in a system with gravity