Critical behavior of branching annihilating random walks with an odd number of offsprings
- 1 January 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 47 (1) , R1-R4
- https://doi.org/10.1103/physreve.47.r1
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 β 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.Keywords
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