### Abstract

Using Monte Carlo simulations we have studied the transition from an "active" steady state to an absorbing "inactive" state for two versions of the branching annihilating random walks with parity conservation on a square lattice. In the first model the randomly walking particles annihilate when they meet and the branching process creates two additional particles; in the second case we distinguish particles and antiparticles created and annihilated in pairs. Quite distinct critical behavior is found in the two cases, raising the question of what determines universality in these kinds of systems.

Original language | English |
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Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 59 |

Issue number | 3 PART A |

Publication status | Published - Mar 1999 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

**Branching annihilating random walks with parity conservation on a square lattice.** / Szabó, G.; Santos, Maria Augusta.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 59, no. 3 PART A.

}

TY - JOUR

T1 - Branching annihilating random walks with parity conservation on a square lattice

AU - Szabó, G.

AU - Santos, Maria Augusta

PY - 1999/3

Y1 - 1999/3

N2 - Using Monte Carlo simulations we have studied the transition from an "active" steady state to an absorbing "inactive" state for two versions of the branching annihilating random walks with parity conservation on a square lattice. In the first model the randomly walking particles annihilate when they meet and the branching process creates two additional particles; in the second case we distinguish particles and antiparticles created and annihilated in pairs. Quite distinct critical behavior is found in the two cases, raising the question of what determines universality in these kinds of systems.

AB - Using Monte Carlo simulations we have studied the transition from an "active" steady state to an absorbing "inactive" state for two versions of the branching annihilating random walks with parity conservation on a square lattice. In the first model the randomly walking particles annihilate when they meet and the branching process creates two additional particles; in the second case we distinguish particles and antiparticles created and annihilated in pairs. Quite distinct critical behavior is found in the two cases, raising the question of what determines universality in these kinds of systems.

UR - http://www.scopus.com/inward/record.url?scp=0001366723&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001366723&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001366723

VL - 59

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 3 PART A

ER -