Critical behavior of the three-dimensional contact process
- 1 January 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 45 (2) , R563-R566
- https://doi.org/10.1103/physreva.45.r563
Abstract
I determine the critical behavior of a nonequilibrium three-dimensional lattice model exhibiting a phase transition to an absorbing state. I study the model in the vicinity of the critical point, and in the subcritical region, via time-dependent Monte Carlo simulations. The method used in the subcritical region is very efficient. The results for the directly measured critical exponents, ν=1.11±0.01, η=0.114±0.004, and z=1.052±0.003, are consistent with those of directed percolation. δ=0.732±0.004 is obtained from the hyperscaling relation 4δ+2η=dz, and β=0.813±0.011 from β=νδ. These results are the most precise so far for a three-dimensional model with directed percolation critical behavior.Keywords
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