Aarão Reis FDA. Dynamic transition in deposition with a poisoning species.
PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002;
66:027101. [PMID:
12241317 DOI:
10.1103/physreve.66.027101]
[Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/12/2002] [Indexed: 05/23/2023]
Abstract
In deposition with a poisoning species, we show that the transition to a blocked or pinned phase may be viewed as an absorbing transition in the directed percolation (DP) class. We consider a ballisticlike deposition model with an active and an inactive species that represents the basic features of the process and exhibits a transition from a growing phase to a blocked phase, with the deposition rate as the order parameter. In the growing phase, the interface width shows a crossover from the critical W approximately t behavior to Kardar-Parisi-Zhang (KPZ) scaling, which involves DP and KPZ exponents in the saturation regime. In the pinned phase, the maximum heights and widths scale as H(s) approximately W(s) approximately (p-p(c))(-nu). The robustness of the DP class suggests investigations in real systems.
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