Critical behavior of branching annihilating random walks with an odd number of offsprings

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Abstract

Recently, Takayasu and Tretyakov [Phys. Rev. Lett. 68, 3060 (1992)] studied branching annihilating random walks with n=1-5 offsprings. These models exhibit a continuous phase transition to an absorbing state. Steady-state simulations yielded an estimate for the order parameter critical exponent different from that of directed percolation. This result is quite surprising, as the universality class of directed percolation is known to be very robust. I have studied the critical behavior of the one-dimensional model with n=1 and 3 using time-dependent Monte Carlo simulations, and determined three critical exponents, all of which are in agreement with directed percolation.

Original languageEnglish
Number of pages4
JournalPhysical Review E
Volume47
Issue number1
DOIs
Publication statusPublished - 1 Jan 1993
Externally publishedYes

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