A first-order transition with power-law singularity in models with absorbing states

Abstract

We study one- and two-dimensional models which undergo a transition between active and absorbing phases. The transition point in these models is of novel type: jump of the order parameter coincides with its power-law singularity. Some arguments supported by Monte Carlo simulations prompted us to predict the exact location of the transition point. Both models possess gauge-like symmetry.

4 pages, minor changes, Phys.Rev. E (Sept.2000)

References in corpus (3)

• Low-density series expansions for directed percolation I: A new efficient algorithm with applications to the square lattice
• On possible experimental realizations of directed percolation
• Dimensional reduction in a model with infinitely many absorbing states

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• Systems with superabsorbing states
• Prisoner's Dilemma with Semi-synchronous Updates: Evidence for a First Order Phase Transition