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Discontinuous phase transitions occurs to be particularly interesting from a social point of view because of their relationship to social hysteresis and critical mass. In this paper, we show that the replacement of a time-varying (annealed,…

物理与社会 · 物理学 2022-08-31 Bartłomiej Nowak , Katarzyna Sznajd-Weron

Distinct works have claimed that spatial (quenched) disorder can suppress the discontinuous absorbing phase transitions. Conversely, the scenario for temporal disorder for discontinuous absorbing phase transitions is unknown. In order to…

统计力学 · 物理学 2016-11-28 M. M. de Oliveira , Carlos. E. Fiore

Quenched disorder affects significantly the behavior of phase transitions. The Imry-Ma-Aizenman-Wehr-Berker argument prohibits first-order or discontinuous transitions and their concomitant phase coexistence in low-dimensional equilibrium…

统计力学 · 物理学 2014-02-07 Paula Villa Martín , Juan A. Bonachela , Miguel A. Muñoz

Critical transitions are of great interest to scientists in many fields. Most knowledge about these transitions comes from systems exhibiting the multistability of spatially uniform states. In spatially extended and, particularly, in…

斑图形成与孤子 · 物理学 2016-02-17 Hezi Yizhaq , Golan Bel

We realize an extensive numerical study of the Naming Game model with a noise term which accounts for perturbations. This model displays a non-equilibrium phase transition between an absorbing ordered consensus state, which occurs for small…

物理与社会 · 物理学 2016-11-15 E. Brigatti , A. Hernández

The effects of quenched disorder on nonequilibrium phase transitions in the directed percolation universality class are revisited. Using a strong-disorder energy-space renormalization group, it is shown that for any amount of disorder the…

统计力学 · 物理学 2008-09-03 J. A. Hoyos

We develop a general theory for discontinuous non-equilibrium phase transitions into an absorbing state in the presence of temporal disorder. We focus in two paradigmatic models for discontinuous transitions: the quadratic contact process…

统计力学 · 物理学 2018-09-25 Carlos E. Fiore , M. M. de Oliveira , José A. Hoyos

We investigate the behavior of nonequilibrium phase transitions under the influence of disorder that locally breaks the symmetry between two symmetrical macroscopic absorbing states. In equilibrium systems such "random-field" disorder…

统计力学 · 物理学 2016-02-23 Hatem Barghathi , Thomas Vojta

We study systems with two symmetric absorbing states, such as the voter model and variations of it, which have been broadly used as minimal neutral models in genetics, population ecology, sociology, etc. We analyze the effects of a key…

统计力学 · 物理学 2013-06-28 Claudio Borile , Amos Maritan , Miguel A. Muñoz

We present an extensive study of the effects of quenched disorder on the dynamic phase transitions of kinetic spin models in two dimensions. We undertake a numerical experiment performing Monte Carlo simulations of the square-lattice…

统计力学 · 物理学 2018-06-26 Erol Vatansever , Nikolaos G. Fytas

The influence of uncorrelated, quenched disorder on the phase transition of two dimensional Potts models will be reviewed. After an introduction where the conditions of relevance of quenched randomness on phase transitions are exemplified…

无序系统与神经网络 · 物理学 2007-05-23 Bertrand Berche , Christophe Chatelain

According to recent numerical results from lattice models, the critical exponents of systems with many absorbing states and an order parameter coupled to a non-diffusive conserved field coincide with those of the linear interface depinning…

凝聚态物理 · 物理学 2016-08-31 Mikko Alava , Miguel A. Munoz

Based on quasi-stationary distribution ideas, a general finite size scaling theory is proposed for discontinuous nonequilibrium phase transitions into absorbing states. Analogously to the equilibrium case, we show that quantities such as,…

统计力学 · 物理学 2015-12-23 M. M. de Oliveira , M. G. E. da Luz , C. E. Fiore

With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

统计力学 · 物理学 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

We present a study of the influence of different types of disorder on systems in the Ising universality class by employing both a dynamical field theory approach and extensive Monte Carlo simulations. We reproduce some well known results…

凝聚态物理 · 物理学 2009-10-31 Juan J. Alonso , Miguel A. Munoz

Depinning and nonequilibrium transitions within sliding states in systems driven over quenched disorder arise across a wide spectrum of size scales ranging from atomic friction at the nanoscale, flux motion in type-II superconductors at the…

软凝聚态物质 · 物理学 2017-03-22 Cs. Sándor , A. Libál , C. Reichhardt , C. J. Olson Reichhardt

In this work we study on a 2-dimensional square lattice a recent version of the Naming Game, an agent-based model used for describing the emergence of linguistic structures. The system is open-ended and agents can invent new words all along…

物理与社会 · 物理学 2015-01-20 Nuno Crokidakis , Edgardo Brigatti

In this work we develop the theory of the Loschmidt echo and dynamical phase transitions in non-interacting strongly disordered Fermi systems after a quench. In finite systems the Loschmidt echo displays zeros in the complex time plane that…

无序系统与神经网络 · 物理学 2022-09-23 Tuomas I. Vanhala , Teemu Ojanen

We study the equilibrium properties of an Ising model on a disordered random network where the disorder can be quenched or annealed. The network consists of four-fold coordinated sites connected via variable length one-dimensional chains.…

统计力学 · 物理学 2015-06-22 Abdul N. Malmi-Kakkada , Oriol T. Valls , Chandan Dasgupta

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

统计力学 · 物理学 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande
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