Phase transitions in self-gravitating systems and bacterial populations with a screened attractive potential

Abstract

We consider a system of particles interacting via a screened Newtonian potential and study phase transitions between homogeneous and inhomogeneous states in the microcanonical and canonical ensembles. Like for other systems with long-range interactions, we obtain a great diversity of microcanonical and canonical phase transitions depending on the dimension of space and on the importance of the screening length. We also consider a system of particles in Newtonian interaction in the presence of a ``neutralizing background''. By a proper interpretation of the parameters, our study describes (i) self-gravitating systems in a cosmological setting, and (ii) chemotaxis of bacterial populations in the original Keller-Segel model.

References in corpus (9)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations
• Out-of-equilibrium tricritical point in a system with long-range interactions
• First-order microcanonical transitions in finite mean-field models
• Dynamical stability of collisionless stellar systems and barotropic stars: the nonlinear Antonov first law
• Kinetic and hydrodynamic models of chemotactic aggregation
• Critical dynamics of self-gravitating Langevin particles and bacterial populations
• Jeans type analysis of chemotactic collapse
• Jeans type instability for a chemotactic model of cellular aggregation

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• Statistical mechanics of Beltrami flows in axisymmetric geometry: Theory reexamined
• Jeans type instability of a complex self-interacting scalar field in general relativity
• Instability of a uniformly collapsing cloud of classical and quantum self-gravitating Brownian particles
• Inhomogeneous Tsallis distributions in the HMF model
• Out-of-equilibrium phase transitions in the HMF model: a closer look
• Random transitions described by the stochastic Smoluchowski-Poisson system and by the stochastic Keller-Segel model
• Thermodynamics of the HMF model with a magnetic field
• Incomplete-exclusion Statistical Mechanics in Non-collisional Violent Relaxation of Celestial Objects