PHASE TRANSITIONS IN SELF-GRAVITATING SYSTEMS

DOI10.1142/S0217979206035400zbMath1121.82304OpenAlexW2001018500MaRDI QIDQ3430134

Pierre-Henri Chavanis

Publication date: 20 March 2007

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

Full work available at URL: https://doi.org/10.1142/s0217979206035400

zbMATH Keywords

gravityphase transitionslong-range interactionsensembles inequivalencenegative specific heats

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02)

Related Items (48)

Long-range interaction induced collective dynamical behaviors ⋮ Statistical mechanics of planar stellar systems: solving divergences in self-gravitational systems ⋮ Modified Thirring model beyond the excluded-volume approximation ⋮ Short note on conditional collapse of self-gravitating system with positive total energy ⋮ Fermionic King model: critical masses resulting from the competition of quantum and evaporation effects ⋮ Models of particles of the Michie-King type ⋮ Dynamical system modeling fermionic limit ⋮ Inhomogeneous Tsallis distributions in the HMF model ⋮ Extended Gaussian ensemble solution and tricritical points of a system with long-range interactions ⋮ Equivalence and nonequivalence of ensembles: thermodynamic, macrostate, and measure levels ⋮ Thermodynamics of spherically symmetric thin-shell spacetimes ⋮ Self-gravitating Brownian particles in two dimensions: the case of \(N = 2\) particles ⋮ Supernova implosion-explosion in the light of catastrophe theory ⋮ Generalized statistical mechanics of Newtonian gravity ⋮ Gravitational phase transitions with an exclusion constraint in position space ⋮ Hard-core collisional dynamics in Hamiltonian mean-field model ⋮ Thermodynamics and dynamics of systems with long-range interactions ⋮ Brownian particles with long- and short-range interactions ⋮ Hot and heavy matters in the foundations of statistical mechanics ⋮ Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics ⋮ Methods for calculating nonconcave entropies ⋮ Kinetic theory of nonequilibrium stochastic long-range systems: phase transition and bistability ⋮ Kinetic theory of two-dimensional point vortices with collective effects ⋮ Phase transitions in systems with non-additive long-range interactions ⋮ Sampling microcanonical measures of the 2D Euler equations through Creutz’s algorithm: a phase transition from disorder to order when energy is increased ⋮ Classical Heisenberg spins with long-range interactions: relaxation to equilibrium for finite systems ⋮ Kuramoto model of synchronization: equilibrium and nonequilibrium aspects ⋮ A solvable model of hard rods with gravitational interactions ⋮ Phase transitions in Thirring’s model ⋮ VIRIAL THEOREM FOR ROTATING SELF-GRAVITATING BROWNIAN PARTICLES AND TWO-DIMENSIONAL POINT VORTICES ⋮ Nonequilibrium statistical mechanics of systems with long-range interactions ⋮ Thermodynamic instabilities in holographic neutron stars at finite temperature ⋮ Thermodynamics and phase transitions of black holes in contact with a gravitating heat bath ⋮ STABLE AND UNSTABLE EQUILIBRIA OF UNIFORMLY ROTATING SELF-GRAVITATING CYLINDERS ⋮ Solvable phase diagrams and ensemble inequivalence for two-dimensional and geophysical turbulent flows ⋮ Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations ⋮ Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions ⋮ Kinetic theory of stellar systems, two-dimensional vortices and HMF model ⋮ Fluid statics of a self-gravitating perfect-gas isothermal sphere ⋮ On stationary and radially symmetric solutions to some drift–diffusion equations with nonlocal term ⋮ NONEQUILIBRIUM SELF-GRAVITATING SYSTEM ⋮ Relativistic gravitational phase transitions and instabilities of the Fermi gas ⋮ Distribution probability of force for a physical system of N random particles ⋮ Dynamical large deviations for homogeneous systems with long range interactions and the Balescu-Guernsey-Lenard equation ⋮ Kinetic theory of collisionless relaxation for systems with long-range interactions ⋮ Phase transitions in the unconstrained ensemble ⋮ Scalar correlators and normal modes in holographic neutron stars ⋮ Statistical mechanics of gravitational systems with regular orbits: rigid body model of vector resonant relaxation

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