First order phase transition with a logarithmic singularity in a model with absorbing states

Details First order phase transition with a logarithmic singularity in a model with absorbing states First order phase transition with a logarithmic singularity in a model with absorbing states

2000-08-11

arxiv.org/abs/cond-mat/0008179v1

Phys. Rev. E 63, 16109 (2001)

Physics

Condensed Matter

Statistical Mechanics

revtex, 4 pages, 5 eps figures

Scientific paper

10.1103/PhysRevE.63.016109

Recently, Lipowski [cond-mat/0002378] investigated a stochastic lattice model which exhibits a discontinuous transition from an active phase into infinitely many absorbing states. Since the transition is accompanied by an apparent power-law singularity, it was conjectured that the model may combine features of first- and second-order phase transitions. In the present work it is shown that this singularity emerges as an artifact of the definition of the model in terms of products. Instead of a power law, we find a logarithmic singularity at the transition. Moreover, we generalize the model in such a way that the second-order phase transition becomes accessible. As expected, this transition belongs to the universality class of directed percolation.

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