Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-01-12
Phys. Rev. E, 81, 051103 (2010)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
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.
Chavanis Pierre-Henri
Delfini Luca
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