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We study a monomer-dimer model with repulsive interactions between the same species in one dimension. With infinitely strong interactions the model exhibits a continuous transition from a reactive phase to an inactive phase with two…

凝聚态物理 · 物理学 2007-05-23 Hyunggyu Park

We study the dynamic scaling behavior of a monomer-dimer model with repulsive interactions between the same species in one dimension. With infinitely strong interactions the model exhibits a continuous transition from a reactive phase to an…

凝聚态物理 · 物理学 2009-10-28 Heungwon Park , Mann Ho Kim , Hyunggyu Park

A monomer-dimer reaction lattice model with lateral repulsion among the same species is studied using a mean-field analysis and Monte Carlo simulations. For weak repulsions, the model exhibits a first-order irreversible phase transition…

统计力学 · 物理学 2009-10-30 Roberto A. Monetti

We study nonequilibrium dynamical models with two absorbing states: interacting monomer-dimer models, probabilistic cellular automata models, nonequilibrium kinetic Ising models. These models exhibit a continuous phase transition from an…

统计力学 · 物理学 2009-10-30 WonMuk Hwang , Sungchul Kwon , Heungwon Park , Hyunggyu Park

We study the one dimensional three species monomer-monomer reaction model in the reaction controlled limit using mean-field theory and dynamic Monte Carlo simulations. The phase diagram consists of a reactive steady state bordered by three…

统计力学 · 物理学 2009-10-31 Kevin E. Bassler , Dana A. Browne

We study the phase diagram and critical behavior of a one dimensional three species monomer-monomer surface reaction model. Static Monte Carlo simulations show a phase diagram consisting of a reactive steady state bordered by three…

统计力学 · 物理学 2009-10-28 Kevin E. Bassler , Dana A. Browne

We present a numerical study on an interacting monomer-dimer model with nearest neighbor repulsion on a square lattice, which possesses two symmetric absorbing states. The model is observed to exhibit two nearby continuous transitions: the…

统计力学 · 物理学 2015-05-27 Keekwon Nam , Sangwoong Park , Bongsoo Kim , Sung Jong Lee

We study a three species monomer-monomer catalytic surface reaction model with a reactive steady state bordered by three equivalent unreactive phases where the surface is saturated with one species. The transition from the reactive to a…

凝聚态物理 · 物理学 2009-10-28 K. E. Bassler , D. A. Browne

We study the phase diagram and critical behavior of an interacting one dimensional two species monomer-monomer catalytic surface reaction model with a reactive phase as well as two equivalent adsorbing phase where one of the species…

统计力学 · 物理学 2009-10-30 Kevin Scott Brown , Kevin E. Bassler , Dana A. Browne

Using Monte Carlo method we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent beta=0.273(5) suggests that the model belongs to the (1+1) rather than (2+1) directed-percolation…

统计力学 · 物理学 2009-10-31 Adam Lipowski

Many non-equilibrium systems display dynamic phase transitions from active to absorbing states, where fluctuations cease entirely. Based on a field theory representation of the master equation, the critical behavior can be analyzed by means…

统计力学 · 物理学 2007-05-23 Uwe C. Tauber

Dynamic properties of a one-dimensional probabilistic cellular automaton are studied by monte-carlo simulation near a critical point which marks a second-order phase transition from a active state to a effectively unique absorbing state.…

统计力学 · 物理学 2009-10-30 Pratip Bhattacharyya

At non-equilibrium phase transitions into absorbing (trapped) states, it is well known that the directed percolation (DP) critical scaling is shared by two classes of models with a single (S) absorbing state and with infinitely many (IM)…

统计力学 · 物理学 2009-11-13 Su-Chan Park , Hyunggyu Park

The critical properties of a simple prey-predator model are revisited. For some values of the control parameters, the model exhibits a line of directed percolation like transitions to a single absorbing state. For other values of the…

统计力学 · 物理学 2009-11-07 Tibor Antal , Michel Droz , Adam Lipowski , Geza Odor

We study critical behavior in the classical cubic dimer model (CDM) in the presence of a finite density of monomers. With attractive interactions between parallel dimers, the monomer-free CDM exhibits an unconventional transition from a…

统计力学 · 物理学 2014-01-14 G. J. Sreejith , Stephen Powell

We study a modified version of the interacting monomer-dimer (IMD) model that has infinitely many absorbing (IMA) states. Unlike all other previously studied models with IMA states, the absorbing states can be divided into two equivalent…

统计力学 · 物理学 2009-10-31 WonMuk Hwang , Hyunggyu Park

I study the critical behavior of a two-dimensional dimer-trimer lattice model, introduced by K\"{o}hler and ben-Avraham [J. Phys. A {\bf 24}, L621 (1991)], for heterogeneous catalysis of the reaction $\frac{1}{2}A_{2}+\frac{1}{3}B_{3}…

凝聚态物理 · 物理学 2015-06-25 Iwan Jensen

A recent study of conserved Manna model, with both discrete and continuous variable, indicates that absorbing phase transitions therein belong to the directed percolation (DP) universality class. In this context we revisit critical…

统计力学 · 物理学 2013-07-16 Urna Basu , Mahashweta Basu , P. K. Mohanty

We study the dynamics of an interface (active domain) between different absorbing regions in models with two absorbing states in one dimension; probabilistic cellular automata models and interacting monomer-dimer models. These models…

统计力学 · 物理学 2009-10-31 Sungchul Kwon , WonMuk Hwang , Hyunggyu Park

The absorbing-state transition in the three-dimensional contact process with and without quenched randomness is investigated by means of Monte-Carlo simulations. In the clean case, a reweighting technique is combined with a careful…

统计力学 · 物理学 2012-12-03 Thomas Vojta
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