title: Absorbing state transition in a one-dimensional contact replication process.
abstract: In this work, the contact process (CP) is modified in order to model a contact replication process (CRP) for monoclonal reproduction. The occupation rates of an empty site depend on the nearest-neighbor and next-nearest-neighbor sites. The CRP exhibits an absorbing state transition studied through cluster approximations and Monte Carlo simulations. The critical rate obtained from simulations, lambda(c) =2.0263 (4) , is smaller than that for CP. However, the CRP critical exponents are in agreement with those for CP and, consequently, the model belongs to the directed percolation universality class.
authors.affiliation: Departamento de Física, Universidade Federal de Viçosa, 36571-000, Viçosa, Minas Gerais, Brazil. silviojr@ufv.br
authors.forename: S C
authors.initials: SC
authors.lastname: Ferreira