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The properties of the absorbing states of non-equilibrium models belonging to the conserved directed percolation universality class are studied. We find that at the critical point the absorbing states are hyperuniform, exhibiting…

Statistical Mechanics · Physics 2015-03-24 Daniel Hexner , Dov Levine

We investigate a suggested path to self-organized criticality. Originally, this path was devised to "generate criticality" in systems displaying an absorbing-state phase transition, but closer examination of the mechanism reveals that it…

Statistical Mechanics · Physics 2007-05-23 Gunnar Pruessner , Ole Peters

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…

Statistical Mechanics · Physics 2009-10-30 WonMuk Hwang , Sungchul Kwon , Heungwon Park , Hyunggyu Park

We consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

Soft Condensed Matter · Physics 2020-03-04 Christopher Ness , Michael E. Cates

Jamming transition is traditionally regarded as a geometric transition governed by static contact networks. Recently, dynamic phase transitions of athermal particles under periodic shearing provide a new lens on this problem, leading to a…

Statistical Mechanics · Physics 2026-04-24 He-Da Wang , Bo Wang , Qun-Li Lei , Yu-Qiang Ma

We study a model of two-dimensional interacting monomers which has two symmetric absorbing states and exhibits two kinds of phase transition; one is an order-disorder transition and the other is an absorbing phase transition. Our focus is…

Statistical Mechanics · Physics 2012-05-01 Su-Chan Park

We analyze nonequilibrium lattice models with up-down symmetry and two absorbing states by mean-field approximations and numerical simulations in two and three dimensions. The phase diagram displays three phases: paramagnetic, ferromagnetic…

Statistical Mechanics · Physics 2015-06-23 Áttila L. Rodrigues , Christophe Chatelain , Tânia Tomé , Mário J. De Oliveira

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is…

Statistical Mechanics · Physics 2009-11-13 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

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…

Statistical Mechanics · Physics 2009-10-31 Adam Lipowski

We analyze from the renormalization group perspective a universality class of reaction-diffusion systems with absorbing states. It describes models where the vacuum state is not accessible, as the set of reactions $2 A \to A$ together with…

Statistical Mechanics · Physics 2007-05-23 Omar Al Hammal , Juan A. Bonachela , Miguel A. Munoz

At a continuous transition into a nonunique absorbing state, particle systems may exhibit nonuniversal critical behavior, in apparent violation of hyperscaling. We propose a generalized scaling theory for dynamic critical behavior at a…

Condensed Matter · Physics 2009-10-22 J. F. F. Mendes , Ronald Dickman , Malte Henkel , M. Ceu Marques

We propose and study a model where, for the first time, two aspects are present: parity conservation and infinitely many absorbing states. Whereas steady-state simulations show that the static critical behaviour is not affected by the…

Condensed Matter · Physics 2009-10-31 M. C. Marques , J. F. F. Mendes

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…

Statistical Mechanics · Physics 2013-07-16 Urna Basu , Mahashweta Basu , P. K. Mohanty

We have adjusted the Density Matrix Renormalization method to handle two dimensional systems of limited width. The key ingredient for this extension is the incorporation of symmetries in the method. The advantage of our approach is that we…

Statistical Mechanics · Physics 2009-10-30 M. S. L. du Croo de Jongh , J. M. J. van Leeuwen

We investigate the critical behavior of the Kinetic Ising model with non-reciprocal nearest neighbors interactions. A finite-size scaling study suggests that the model belongs to the Ising universality class. We characterize the…

Statistical Mechanics · Physics 2024-08-22 Luca Di Carlo

The excess adsorption $\Gamma $ in two-dimensional Ising strips $(\infty \times L)$ subject to identical boundary fields, at both one-dimensional surfaces decaying in the orthogonal direction $j$ as $-h_1j^{-p}$, is studied for various…

Statistical Mechanics · Physics 2015-05-13 A. Drzewinski , A. Maciolek , A. Barasinski , S. Dietrich

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…

Condensed Matter · Physics 2015-06-25 Hyunggyu Park , Heungwon Park

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…

Statistical Mechanics · Physics 2009-10-31 WonMuk Hwang , Hyunggyu Park

The Langevin description of systems with two symmetric absorbing states yields a phase diagram with three different phases (disordered and active, ordered and active, absorbing) separated by critical lines belonging to three different…

Statistical Mechanics · Physics 2020-08-11 Ahmadreza Azizi , Michel Pleimling

The ordering of charges on half-filled hypercubic lattices is investigated numerically, where electroneutrality is ensured by background charges. This system is equivalent to the $s = 1/2$ Ising lattice model with antiferromagnetic $1/r$…

Statistical Mechanics · Physics 2009-06-03 A. Mobius , U. K. Roessler
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