Absorbing state transition in a one-dimensional contact replication process

• Autor(a) principal: Ferreira Jr., S. C.
• Data de Publicação: 2004
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: LOCUS Repositório Institucional da UFV
• Texto Completo: https://doi.org/10.1103/PhysRevE.70.036119; http://www.locus.ufv.br/handle/123456789/19390
• topic: One-dimensional; Absorbing state transition

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,λc = 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.