Percolation analysis of stochastic models of galactic evolution View Full Text


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Article Info

DATE

1982-01

AUTHORS

Lawrence S. Schulman, Philip E. Seiden

ABSTRACT

The stochastic star formation model of galactic evolution can be cast as a problem of directed percolation, the time dimension being that along which the directed bonds exist. We study various aspects of this percolation, those of general interest for the percolation phase transition and those of particular importance for the astrophysical application. Both analytical calculations and computer simulations are provided and the results compared. Among the properties are: value of the percolation threshold, critical indices, percolation probability (star density) near and away from the critical point, local density, cluster sizes, effects of rotation (for disk galaxy models) on the percolation threshold. Astrophysical consequences of some of these properties are discussed, in particular the way in which general phase transition behavior contributes to spiral arm morphology. We look at 1 (space) + 1 (time), 2 + 1 and “∞” + 1 dimensions, the 2 + 1 case being of interest for disk galaxies. More... »

PAGES

83-118

References to SciGraph publications

  • 1978-09. Statistical mechanics of a dynamical system based on Conway's game of Life in JOURNAL OF STATISTICAL PHYSICS
  • 1980-08. Complex free energies and metastable lifetimes in JOURNAL OF STATISTICAL PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/bf01011742

    DOI

    http://dx.doi.org/10.1007/bf01011742

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