Static and dynamical critical behavior of the monomer–monomer reaction model with desorption

Costa, E. C. da; Rusch, Flávio Roberto

doi:10.1016/j.physa.2016.01.063

Cited by 3 publications

(1 citation statement)

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“…Although these non-equilibrium systems do not obey the detailed balance condition, the displayed dynamic transition can be characterized using the standard critical phenomenon description developed to analyze equilibrium phase transitions. The most common universality class of non-equilibrium phase transitions is that of directed percolation (DP) which predominates in systems exhibiting a single absorbing state [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Continuously varying critical order-parameter fluctuations in a parity conserving absorbing-state transition with long-range diffusion

et al. 2016

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We study the critical order parameter fluctuations of the absorbingstate phase-transition exhibited by branching and annihilating random walkers performing anomalous diusion in a linear chain. The diusion process is considered to follow a power-law distribution of jump lengths with a typical decay exponent α. We focus in the case of parity conserving dynamics for which deviations from the usual directed percolation universality class have been previously demonstrated even for the limiting cases of normal diusion. Anomalous diusion induces a continuous change of the critical exponents. By performing a finite-size scaling analysis of simulation data, we show that the critical order parameter moment ratio also varies continuously with α. We unveil that the critical order parameter distribution evolves from a nearly Gaussian to an exponential form as the range of the jump distribution is increased up to the limit 5 2 / α = on which the active state predominates for any finite branching probability.

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Section: Introductionmentioning

confidence: 99%