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We study the nonequilibrium phase transition in the two-dimensional contact process on a randomly diluted lattice by means of large-scale Monte-Carlo simulations for times up to $10^{10}$ and system sizes up to $8000 \times 8000$ sites. Our…

Disordered Systems and Neural Networks · Physics 2009-01-13 Thomas Vojta , Adam Farquhar , Jason Mast

Inspired by the recent results on totally asymmetric simple exclusion processes on a periodic lattice with short-ranged quenched hopping rates [A. Haldar, A. Basu, Phys Rev Research 2, 043073 (2020)], we study the universal scaling…

Statistical Mechanics · Physics 2021-08-18 Astik Haldar

We analyze the critical properties of the three-dimensional Ising model with linear parallel extended defects. Such a form of disorder produces two distinct correlation lengths, a parallel correlation length $\xi_\parallel$ in the direction…

Statistical Mechanics · Physics 2015-10-14 Oleg Vasilyev , Bertrand Berche , Maxym Dudka , Yurij Holovatch

The scaling of the transition temperature into an ordered phase close to a quantum critical point as well as the order parameter fluctuations inside the quantum critical region provide valuable information about universal properties of the…

Strongly Correlated Electrons · Physics 2016-04-29 Stephan Hesselmann , Stefan Wessel

We give a heuristic argument for disorder rounding of a first order quantum phase transition into a continuous phase transition. From both weak and strong disorder analysis of the the N-color quantum Ashkin-Teller model in one spatial…

Disordered Systems and Neural Networks · Physics 2008-01-08 Pallab Goswami , David Schwab , Sudip Chakravarty

We consider a mean-field model of coupled phase oscillators with quenched disorder in the natural frequencies and coupling strengths. A fraction $p$ of oscillators are positively coupled, attracting all others, while the remaining fraction…

Statistical Mechanics · Physics 2016-11-03 Hyunsuk Hong , Kevin P. O'Keeffe , Steven H. Strogatz

Using a Wang-Landau entropic sampling scheme, we investigate the effects of quenched bond randomness on a particular case of a triangular Ising model with nearest- ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$) antiferromagnetic…

Statistical Mechanics · Physics 2009-10-28 N. G. Fytas , A. Malakis

We expand on the investigation of the universal scaling properties in the early time behaviour of fast but smooth quantum quenches in a general $d$-dimensional conformal field theory deformed by a relevant operator of dimension $\Delta$…

High Energy Physics - Theory · Physics 2017-10-05 Sumit R. Das , Damián A. Galante , Robert C. Myers

Recent theoretical studies have predicted the existence of caustics in many-body quantum dynamics, where they manifest as extended regions of enhanced probability density that obey temporal and spatial scaling relations. Focusing on the…

Quantum Physics · Physics 2024-10-10 Monalisa Singh Roy , Jesse Mumford , D. H. J. O'Dell , Emanuele G. Dalla Torre

We investigate the effects of quenched elastic disorder on the nature of the crumpling-to-flat transition of $D$-dimensional polymerized membranes using a two-loop computation near the upper critical dimension $D_c=4$. While the pure system…

Disordered Systems and Neural Networks · Physics 2024-11-08 L. Delzescaux , D. Mouhanna , M. Tissier

Large-scale Monte Carlo simulations are used to explore the effect of quenched disorder on one dimensional, non-equilibrium kinetic Ising models with locally broken spin symmetry, at zero temperature (the symmetry is broken through…

Statistical Mechanics · Physics 2013-05-29 Nora Menyhard , Geza Odor

In systems belonging to the universality class of the random field Ising model, the standard hyperscaling relation between critical exponents does not hold, but is replaced by a modified hyperscaling relation. As a result, standard…

Statistical Mechanics · Physics 2010-12-01 R. L. C. Vink , T. Fischer , K. Binder

We numerically study the density of topological defects for a two-dimensional assembly of particles driven over quenched disorder as a function of quench rate through the nonequilibrium phase transition from a plastic disordered flowing…

Statistical Mechanics · Physics 2024-04-23 C. J. O. Reichhardt , A. del Campo , C. Reichhardt

The onset of rigidity in interacting liquids, as they undergo a transition to a disordered solid, is associated with a rearrangement of the low-frequency vibrational spectrum. In this letter, we derive scaling forms for the singular…

Soft Condensed Matter · Physics 2022-11-08 Danilo B. Liarte , Stephen J. Thornton , Eric Schwen , Itai Cohen , Debanjan Chowdhury , James P. Sethna

The effects of bond randomness on the ground-state structure, phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel (BC) model are discussed. The calculation of ground states at strong disorder and large values…

Statistical Mechanics · Physics 2015-05-14 A. Malakis , A. Nihat Berker , I. A. Hadjiagapiou , N. G. Fytas , T. Papakonstantinou

We study the phase transition from a nematic phase to a high-density disordered phase in systems of long rigid rods of length $k$ on the square and triangular lattices. We use an efficient Monte Carlo scheme that partly overcomes the…

Statistical Mechanics · Physics 2013-08-01 Joyjit Kundu , R. Rajesh , Deepak Dhar , Jurgen F. Stilck

The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform bond disorder is investigated by intensive Monte Carlo simulations. Simple ageing behaviour is observed in the single-time correlator and the two-time…

Disordered Systems and Neural Networks · Physics 2009-01-23 Malte Henkel , Michel Pleimling

This article investigates the pseudo transitions of the Blume-Capel model on two-dimensional finite-size lattices. By employing the Wang-Landau sampling method and microcanonical inflection point analysis, we identified the positions of…

Statistical Mechanics · Physics 2025-02-10 Lei Shi , Wei Liu , Xiang Li , Xin Zhang , Fangfang Wang , Kai Qi , Zengru Di

Quantifying entanglement of multiple subsystems is a challenging open problem in interacting quantum systems. Here, we focus on two subsystems of length $\ell$ separated by a distance $r=\alpha\ell$ and quantify their entanglement…

Disordered Systems and Neural Networks · Physics 2022-08-17 Jay S. Zou , Helen S. Ansell , István A. Kovács

We have done a finite-size scaling study of a continuous phase transition altered by the quenched bond disorder, investigating systems at quasicritical temperatures of each disorder realization by using the equilibriumlike invaded cluster…

Statistical Mechanics · Physics 2012-03-21 Ivan Balog , Katarina Uzelac
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