Change in Order of Phase Transitions on Fractal Lattices
arXiv:0811.0960 · doi:10.1016/j.physa.2009.04.008
Abstract
We re-examine a population model which exhibits a continuous absorbing phase transition which belongs to directed percolation in 1+1 dimensions and a first order transition in 2+1 dimensions and above. Studying the model on fractal lattices, we examine at what fractal dimension 1<d_f<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.
4 pages, 4 figures and 1 table
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