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This paper focuses on directed polymers pinned at a disordered and correlated interface. We assume that the disorder sequence is a q-order moving average and show that the critical curve of the annealed model can be expressed in terms of…

Probability · Mathematics 2014-09-29 Julien Poisat

We study quenched disorder in strongly correlated systems via holography, focusing on the thermodynamic effects of mild electric disorder. Disorder is introduced through a random potential which is assumed to self-average on macroscopic…

High Energy Physics - Theory · Physics 2015-12-23 Allan Adams , Sho Yaida

We consider the influence of quenched spatial disorder on phase transitions in classical and quantum systems. We show that rare strong disorder fluctuations can have dramatic effects on critical points. In classical systems with…

Statistical Mechanics · Physics 2009-11-10 Thomas Vojta , Rastko Sknepnek

This paper presents a very simple and self-contained proof of disorder irrelevance for inhomogeneous pinning models with return exponent alpha in the Interval (0,1/2). We also give a new upper bound for the contact fraction of the…

Probability · Mathematics 2011-03-15 Hubert Lacoin

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…

Statistical Mechanics · Physics 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

We consider a general model of a disordered copolymer with adsorption. This includes, as particular cases, a generalization of the copolymer at a selective interface introduced by Garel et al. [Europhys. Lett. 8 (1989) 9--13], pinning and…

Probability · Mathematics 2008-08-22 Fabio Lucio Toninelli

We study the continuous time version of the random walk pinning model, where conditioned on a continuous time random walk Y on Z^d with jump rate \rho>0, which plays the role of disorder, the law up to time t of a second independent random…

Probability · Mathematics 2010-04-21 Matthias Birkner , Rongfeng Sun

Inspired by the recent results regarding whether the Harris criterion is valid for quantum spin systems, we have simulated a two-dimensional spin-1/2 Heisenberg model on the square lattice with a specific kind of quenched disorder using the…

Disordered Systems and Neural Networks · Physics 2020-05-13 Jhao-Hong Peng , L. -W. Huang , D. -R. Tan , F. -J. Jiang

The infinite disorder fixed point of the random transverse-field Ising model is expected to control the critical behavior of a large class of random quantum and stochastic systems having an order parameter with discrete symmetry. Here we…

Disordered Systems and Neural Networks · Physics 2015-05-19 Istvan A. Kovacs , Ferenc Igloi

We analyze the effect of adding quenched disorder along a defect line in the 2D conformal minimal models using replicas. The disorder is realized by a random applied magnetic field in the Ising model, by fluctuations in the ferromagnetic…

Disordered Systems and Neural Networks · Physics 2009-10-31 Monwhea Jeng , Andreas W. W. Ludwig

We study the dynamics of a viscoelastic medium driven through quenched disorder by expanding about mean field theory in $6-\epsilon$ dimensions. The model exhibits a critical point separating a region where the dynamics is hysteretic with a…

Condensed Matter · Physics 2009-11-07 M. Cristina Marchetti , Karin A. Dahmen

We consider a polymer, with monomer locations modeled by the trajectory of a Markov chain, in the presence of a potential that interacts with the polymer when it visits a particular site 0. We assume that probability of an excursion of…

Probability · Mathematics 2007-05-23 Kenneth S. Alexander

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…

Pattern Formation and Solitons · Physics 2016-02-17 Hezi Yizhaq , Golan Bel

In these lectures, we discuss the influence of weak quenched disorder on the critical behavior in condensed matter and give a brief review of available experimental and theoretical results as well as results of MC simulations of these…

Disordered Systems and Neural Networks · Physics 2016-08-31 Yu. Holovatch , V. Blavats'ka , M. Dudka , C. von Ferber , R. Folk , T. Yavors'kii

We study analytically the effect of a weak random chemical potential of zero average in an Einstein-Maxwell background. For uncorrelated disorder this perturbation is relevant however we show that it can become marginal or even irrelevant…

High Energy Physics - Theory · Physics 2016-03-11 Antonio M. García-García , Bruno Loureiro

We consider Euclidean Conformal Field Theories perturbed by quenched disorder, namely by random fluctuations in their couplings. Such theories are relevant for second-order phase transitions in the presence of impurities or other forms of…

High Energy Physics - Theory · Physics 2016-05-04 Ofer Aharony , Zohar Komargodski , Shimon Yankielowicz

This article investigates the effect for random pinning models of long range power-law decaying correlations in the environment. For a particular type of environment based on a renewal construction, we are able to sharply describe the phase…

Probability · Mathematics 2025-08-15 Quentin Berger , Hubert Lacoin

We numerically study the effect of adding quenched disorder in the form of randomly placed pinning sites on jamming transitions in systems that jam at a well defined point J in the clean limit. Quenched disorder decreases the jamming…

Soft Condensed Matter · Physics 2015-06-04 C. J. Olson Reichhardt , E. Groopman , Z. Nussinov , C. Reichhardt

We consider the influence of quenched disorder on the relaxational critical dynamics of a system characterized by a non-conserved order parameter coupled to the diffusive dynamics of a conserved scalar density (model C). Disorder leads to…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Dudka , R. Folk , Yu. Holovatch , G. Moser

We address issues related to the presence of defects at finite-temperature topological transitions, in particular when defects are modeled in terms of further variables associated with a quenched disorder, corresponding to the limit in…

Disordered Systems and Neural Networks · Physics 2026-04-20 Claudio Bonati , Ettore Vicari