The one-dimensional pair contact process with a particle source is studied by using dynamical cluster mean-field approximations with sites up to [formula presented] The results obtained for different levels of approximation become convergent especially for [formula presented] and allow us to derive reliable extrapolations to the limit [formula presented] At the zero source limit, the critical point exhibits a discontinuity whose magnitude vanishes with [formula presented] Coherent anomaly analysis of the data supports the conclusion that the vanishing of the order parameter and the density of isolated particles have the same critical behavior. In contrast to an earlier prediction, the present approximation does not support the existence of critical behavior in the inactive phase where the frozen density of isolated particles depends on the initial state.
|Number of pages||1|
|Journal||Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - Nov 11 2002|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics