Change in Order of Phase Transitions on Fractal Lattices
Statistical Mechanics
2015-05-13 v1
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.
Keywords
Cite
@article{arxiv.0811.0960,
title = {Change in Order of Phase Transitions on Fractal Lattices},
author = {Alastair L Windus and Henrik Jeldtoft Jensen},
journal= {arXiv preprint arXiv:0811.0960},
year = {2015}
}
Comments
4 pages, 4 figures and 1 table