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Related papers: Contact process with aperiodic temporal disorder

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We study the nonequilibrium phase transition of the contact process with aperiodic transition rates using a real-space renormalization group as well as Monte-Carlo simulations. The transition rates are modulated according to the generalized…

Statistical Mechanics · Physics 2014-01-14 Hatem Barghathi , David Nozadze , Thomas Vojta

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…

Statistical Mechanics · Physics 2018-09-25 Carlos E. Fiore , M. M. de Oliveira , José A. Hoyos

We consider the contact process near an extended surface defect, where the local control parameter deviates from the bulk one by an amount of $\lambda(l)-\lambda(\infty) = A l^{-s}$, $l$ being the distance from the surface. We concentrate…

Statistical Mechanics · Physics 2018-01-12 R. Juhász , F. Iglói

We investigate the influence of time-varying environmental noise, i.e., temporal disorder, on the nonequilibrium phase transition of the contact process. Combining a real-time renormalization group, scaling theory, and large scale…

Statistical Mechanics · Physics 2016-08-25 Hatem Barghathi , Jose A. Hoyos , Thomas Vojta

We study the spin-1/2 Ising model on a Bethe lattice in the mean-field limit, with the interaction constants following two deterministic aperiodic sequences: Fibonacci or period-doubling ones. New algorithms of sequence generation were…

Statistical Mechanics · Physics 2009-11-13 Maicon S. Faria , N. S. Branco , M. H. R. Tragtenberg

We investigate the nonequilibrium response of quasiperiodic systems to boundary driving. In particular we focus on the Aubry-Andr\'e-Harper model at its metal-insulator transition and the diagonal Fibonacci model. We find that opening the…

Disordered Systems and Neural Networks · Physics 2017-09-27 Vipin Kerala Varma , Clélia de Mulatier , Marko Znidaric

We study the absorbing-state phase transition in the one-dimensional contact process under the combined influence of spatial and temporal random disorders. We focus on situations in which the spatial and temporal disorders decouple. Couched…

Statistical Mechanics · Physics 2022-10-04 Xuecheng Ye , Thomas Vojta

The critical behavior of the contact process (CP) in heterogeneous periodic and weakly-disordered environments is investigated using the supercritical series expansion and Monte Carlo (MC) simulations. Phase-separation lines and critical…

Statistical Mechanics · Physics 2009-11-11 C. J. Neugebauer , S. V. Fallert , S. N. Taraskin

We study the effects of spatially inhomogeneous diffusion on the non-equilibrium phase transition in the contact process. The directed-percolation critical point in the contact process is known to be stable against the addition of a…

Statistical Mechanics · Physics 2026-03-06 Valentin Anfray , Manisha Dhayal , Hong-Yan Shih , Thomas Vojta

We study the nonequilibrium phase transition in the one-dimensional contact process with quenched spatial disorder by means of large-scale Monte-Carlo simulations for times up to $10^9$ and system sizes up to $10^7$ sites. In agreement with…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta , Mark Dickison

We investigate the nonequilibrium phase transition of the disordered contact process in five space dimensions by means of optimal fluctuation theory and Monte Carlo simulations. We find that the critical behavior is of mean-field type,…

Statistical Mechanics · Physics 2014-08-05 Thomas Vojta , John Igo , José A. Hoyos

The restricted diffusive pair contact process 2A->3A, 2A->0 (PCPD) and the classification of its critical behavior continues to be a challenging open problem of non-equilibrium statistical mechanics. Recently Kockelkoren and Chate [Phys.…

Statistical Mechanics · Physics 2007-05-23 Haye Hinrichsen

Recently Carlon et. al. investigated the critical behavior of the pair contact process with diffusion [cond-mat/9912347]. Using density matrix renormalization group methods, they estimate the critical exponents, raising the possibility that…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen

This paper studies the identification of causal effects of a continuous treatment using a new difference-in-difference strategy. Our approach allows for endogeneity of the treatment, and employs repeated cross-sections. It requires an…

Econometrics · Economics 2023-04-18 Xavier D'Haultfoeuille , Stefan Hoderlein , Yuya Sasaki

New theoretical and numerical analysis of the one-dimensional contact process with quenched disorder are presented. We derive new scaling relations, different from their counterparts in the pure model, which are valid not only at the…

Condensed Matter · Physics 2016-08-15 Raffaele Cafiero , Andrea Gabrielli , Miguel A. Muñoz

The long-time dynamics of the 1D contact process suddenly brought out of an uncorrelated initial state is studied through a light-cone transfer-matrix renormalisation group approach. At criticality, the system undergoes ageing which is…

Statistical Mechanics · Physics 2007-05-23 Tilman Enss , Malte Henkel , Alan Picone , Ulrich Schollwöck

Inspired by dengue and yellow fever epidemics, we investigated the contact process (CP) in a multiscale network constituted by one-dimensional chains connected through a Barab\'asi-Albert scale-free network. In addition to the CP dynamics…

Physics and Society · Physics 2011-01-07 Silvio C. Ferreira , Marcelo M. Martins

The critical behavior of the contact process in disordered and periodic binary 2d-lattices is investigated numerically by means of Monte Carlo simulations as well as via an analytical approximation and standard mean field theory.…

Statistical Mechanics · Physics 2009-11-13 S. V. Fallert , Y. M. Kim , C. J. Neugebauer , S. N. Taraskin

The one-dimensional contact process with weak to intermediate quenched disorder in its transmission rates is investigated via quasi-stationary Monte Carlo simulation. We address the contested questions of both the nature of dynamical…

Statistical Mechanics · Physics 2008-09-03 S V Fallert , S N Taraskin

We write exact renormalization-group recursion relations for a ferromagnetic Ising model on the diamond hierarchical lattice with an aperiodic distribution of exchange interactions according to a class of generalized two-letter Fibonacci…

Statistical Mechanics · Physics 2015-06-25 S. T. R. Pinho , T. A. S. Haddad , S. R. Salinas
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