First order phase transition with a logarithmic singularity in a model with absorbing states
arXiv:cond-mat/0008179 · doi:10.1103/PhysRevE.63.016109
Abstract
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.
revtex, 4 pages, 5 eps figures
References in corpus (4)
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- First order phase transition in a 1+1-dimensional nonequilibrium wetting process
- Dimensional reduction in a model with infinitely many absorbing states
- First-order transitions in fluctuating 1+1-dimensional nonequilibrium systems