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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…

统计力学 · 物理学 2012-05-01 Su-Chan 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

We present a realization of directed Ising (DI) type dynamic absorbing state phase transitions in the context of one-dimensional interfaces, such as the relaxation of a step on a vicinal surface. Under the restriction that particle…

统计力学 · 物理学 2009-10-31 Jae Dong Noh , Hyunggyu Park , Marcel den Nijs

We have investigated the effect of the initial condition on the spreading exponents of the one-dimensional pair contact process (PCP) and threshold transfer process (TTP).The non-order field was found to exhibit critical fluctuations,…

统计力学 · 物理学 2009-10-31 Geza Odor , J. F. Mendes , M. A. Santos , M. C. Marques

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 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 order-disorder transition of the two dimensional interacting monomer-dimer model (IMD) which has two symmetric absorbing states. To be self-contained, we first estimate numerically the dynamic exponent $z$ of the two…

统计力学 · 物理学 2015-10-28 Su-Chan Park

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 investigate the global persistence properties of critical systems relaxing from an initial state with non-vanishing value of the order parameter (e.g., the magnetization in the Ising model). The persistence probability of the global…

无序系统与神经网络 · 物理学 2008-11-26 Raja Paul , Andrea Gambassi , Gregory Schehr

Extremal dynamics represents a path to self-organized criticality in which the order parameter is tuned to a value of zero. The order parameter is associated with a phase transition to an absorbing state. Given a process that exhibits a…

统计力学 · 物理学 2009-11-10 Ronald Dickman , Guilherme J. M. Garcia

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

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

Extensive Monte Carlo simulations are performed on a two-dimensional random field Ising model. The purpose of the present work is to study the disorder-induced changes in the properties of disordered spin systems. The time evolution of the…

统计力学 · 物理学 2013-02-22 Suman Sinha , Pradipta Kumar Mandal

We investigate the depinning transition for driven interfaces in the random-field Ising model for various dimensions. We consider the order parameter as a function of the control parameter (driving field) and examine the effect of thermal…

统计力学 · 物理学 2009-11-07 L. Roters , S. Lubeck , K. D. Usadel

We study the dynamical percolation transition of the geometrical clusters in the two-dimensional Ising model when it is subjected to a pulsed field below the critical temperature. The critical exponents are independent of the temperature…

统计力学 · 物理学 2011-04-20 Soumyajyoti Biswas , Anasuya Kundu , Anjan Kumar Chandra

In this paper we consider an approach, which allows researching a processes of order-disorder transition in various systems (with any distribution of the exchange integrals signs) in the frame of Ising model. A new order parameters, which…

统计力学 · 物理学 2012-05-18 P. D. Andriushchenko , K. V. Nefedev

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

Using quantum Monte Carlo simulations and field-theory arguments, we study the fully frustrated (Villain) transverse-field Ising model on the square lattice. We consider a "primary" spin order parameter and a "secondary" dimer order…

强关联电子 · 物理学 2024-06-11 Gabe Schumm , Hui Shao , Wenan Guo , Frédéric Mila , Anders W. Sandvik

We determine the limiting dynamics of a fermionic condensate following a sudden perturbation for various initial conditions. We demonstrate that possible initial states of the condensate fall into two classes. In the first case, the order…

超导电性 · 物理学 2009-11-11 Emil A. Yuzbashyan , Oleksandr Tsyplyatyev , Boris L. Altshuler

We employ the concept of a dynamical, activity order parameter to study the Ising model in a transverse magnetic field coupled to a Markovian bath. For a certain range of values of the spin-spin coupling, magnetic field and dissipation…

统计力学 · 物理学 2015-06-03 Cenap Ates , Beatriz Olmos , Juan P. Garrahan , Igor Lesanovsky
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