Absence of the discontinuous transition in the one-dimensional triplet creation model

Abstract

Although Hinrichsen in his unpublished work theoretically rebutted the possibility of the discontinuous transition in one-dimensional nonequilibrium systems unless there are additional conservation laws, long-range interactions, macroscopic currents, or special boundary conditions, we have recently observed the resurrection of the claim that the triplet creation model (TC) introduced by Dickman and Tomé [Phys. Rev. E {\bf 44}, 4833 (1991)] would show the discontinuous transition. By extensive simulations, however, we find that the one-dimensional TC does belong to the directed percolation universality class even for larger diffusion constant than the suggested tricritical point in the literature. Furthermore, we find that the phase boundary is well described by the crossover from the mean field to the directed percolation, which supports the claim that the one-dimensional TC does not exhibit a discontinuous transition.

Sec IV is siginificantly modified. Some figures are removed and some are added. To appear in Phys. Rev. E

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Cited by in corpus (3)

• A minimal mechanism leading to discontinuous phase transitions for short-range systems with absorbing states
• Critical decay exponent of the pair contact process with diffusion
• Robustness of first-order phase transitions in one-dimensional long-range contact processes