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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

Ballistic deposition is a classical model for interface growth in which unit blocks fall down vertically at random on the different sites of $\mathbb{Z}$ and stick to the interface at the first point of contact, causing it to grow. We…

概率论 · 数学 2022-03-14 Francis Comets , Joseba Dalmau , Santiago Saglietti

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

We study coupled Gauss maps in one dimension and observe a transition to band periodic state with 2 bands. This is a periodic state with period-2 in a coarse-grained sense. This state does not show any long-range order in space. We compute…

动力系统 · 数学 2022-08-29 Sumit S. Pakhare , Prashant M. Gade

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 2015-06-25 Hyunggyu Park , Heungwon Park

We extend a previously proposed deposition model with two kinds of particles, considering the restricted solid-on-solid condition. The probability of incidence of particle C (A) is p (1-p). Aggregation is possible if the top of the column…

统计力学 · 物理学 2009-11-07 S. S. Botelho , F. D. A. Aarao Reis

Phase transitions from an active into an absorbing, inactive state are generically described by the critical exponents of directed percolation (DP), with upper critical dimension d_c = 4. In the framework of single-species…

凝聚态物理 · 物理学 2009-10-31 Y. Y. Goldschmidt , H. Hinrichsen , M. Howard , U. C. Täuber

We study the active to absorbing phase transition (AAPT) in a simple two-component model system for a species and its mutant. We uncover the nontrivial critical scaling behavior and weak dynamic scaling near the AAPT that shows the…

统计力学 · 物理学 2015-10-07 Niladri Sarkar

We present detailed simulations of a generalization of the Domany-Kinzel model to 2+1 dimensions. It has two control parameters $p$ and $q$ which describe the probabilities $P_k$ of a site to be wetted, if exactly $k$ of its "upstream"…

统计力学 · 物理学 2009-11-11 Peter Grassberger

Using numerical simulations we study the pinning and dynamics of interacting colloids on periodic one-dimensional substrates. As a function of colloid density, temperature, and substrate strength, we find a variety of pinned and dynamic…

软凝聚态物质 · 物理学 2009-11-10 C. Reichhardt , C. J. Olson Reichhardt

Percolation is a paradigmatic model in disordered systems and has been applied to various natural phenomena. The percolation transition is known as one of the most robust continuous transitions. However, recent extensive studies have…

统计力学 · 物理学 2015-07-13 Y. S. Cho , B. Kahng

We introduce and solve a model of hardcore particles on a one dimensional periodic lattice which undergoes an active-absorbing state phase transition at finite density. In this model an occupied site is defined to be active if its left…

统计力学 · 物理学 2009-07-28 Urna Basu , P. K. Mohanty

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

The crossover behavior of various models exhibiting phase transition to absorbing phase with parity conserving class has been investigated by numerical simulations and cluster mean-field method. In case of models exhibiting Z_2 symmetric…

统计力学 · 物理学 2009-11-13 Geza Odor , Nora Menyhard

Absorbing phase transition in restricted exclusion processes are characterized by simple integer exponents. We show that this critical behaviour flows to the directed percolation (DP) universality class when particle conservation is broken…

统计力学 · 物理学 2012-12-18 Urna Basu , P. K. Mohanty

In a recent article [arXiv:1108.5127] Park has shown that the four-state predator-prey model studied earlier in [J. Stat. Mech, L05001 (2011)] belongs to Directed Percolation (DP) universality class. It was claimed that predator density is…

统计力学 · 物理学 2011-09-22 P. K. Mohanty , Rakesh Chatterjee , Abhik Basu

We investigate the scaling properties of phase transitions between survival and extinction (active-to-absorbing state phase transition, AAPT) in a model, that by itself belongs to the directed percolation (DP) universality class,…

统计力学 · 物理学 2012-08-22 Niladri Sarkar , Abhik Basu

Recently, considerable progress has been made in understanding finite-size scaling in equilibrium systems. Here, we study finite-size scaling in non-equilibrium systems at the instance of directed percolation (DP), which has become the…

统计力学 · 物理学 2009-11-13 Hans-Karl Janssen , Sven Lubeck , Olaf Stenull

We study a lattice model where the coupling stochastically switches between repulsive (subtractive) and attractive (additive) at each site with probability p at every time instance. We observe that such kind of coupling stabilizes the local…

混沌动力学 · 物理学 2011-04-01 Abhijeet R. Sonawane

We study the absorbing phase transitions in coupled directed percolation (DP) processes with $N$-species particles in one dimension. The interspecies coupling is linear, bidirectional, and excitatory. We find that the presence of a…

统计力学 · 物理学 2009-11-10 Sungchul Kwon , Hyunggyu Park
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