Change in order of phase transitions on fractal lattices

Alastair Lee Windus and Henrik Jeldtoft Jensen

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 15, 3107-3112

Abstract: We re-examine a population model which exhibits a continuous absorbing phase transition belonging to directed percolation in 1D and a first-order transition in 2D and above. Studying the model on Sierpinski Carpets of varying fractal dimensions, we examine at what fractal dimension 1≤df≤2, the change in order occurs. As well as commenting on the order of the transitions, we produce estimates for the critical points and, for continuous transitions, some critical exponents.

Keywords: Phase transitions; Fractal lattices; Critical exponents (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:15:p:3107-3112

DOI: 10.1016/j.physa.2009.04.008

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