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Gravitational phase transitions with an exclusion constraint in position space

Chavanis, Pierre-Henri Chavanis, Pierre-Henri (Editor)

European Physical Journal B: Condensed Matter and Complex Systems, January 2014, Vol.87(1), p.9 [Periódico revisado por pares]

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  • Título:
    Gravitational phase transitions with an exclusion constraint in position space
  • Autor: Chavanis, Pierre-Henri
  • Chavanis, Pierre-Henri (Editor)
  • Assuntos: Physics ; Condensed Matter ; Statistical Mechanics ; Physics
  • É parte de: European Physical Journal B: Condensed Matter and Complex Systems, January 2014, Vol.87(1), p.9
  • Descrição: We discuss the statistical mechanics of a system of self-gravitating particles with an exclusion constraint in position space in a space of dimension $d$. The exclusion constraint puts an upper bound on the density of the system and can stabilize it against gravitational collapse. We plot the caloric curves giving the temperature as a function of the energy and investigate the nature of phase transitions as a function of the size of the system and of the dimension of space in both microcanonical and canonical ensembles. We consider stable and metastable states and emphasize the importance of the latter for systems with long-range interactions. For $d\le 2$, there is no phase transition. For $d2$, phase transitions can take place between a "gaseous" phase unaffected by the exclusion constraint and a "condensed" phase dominated by this constraint. The condensed configurations have a core-halo structure made of a "rocky core" surrounded by an "atmosphere", similar to a giant...
  • Idioma: Inglês

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