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Related papers: Universality Classes for Interface Growth with Que…

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Understanding possible universal properties for systems far from equilibrium is much less developed than for their equilibrium counterparts and poses a major challenge to present day statistical physics. The study of aging properties, and…

Statistical Mechanics · Physics 2017-03-22 Jacopo De Nardis , Pierre Le Doussal , Kazumasa A. Takeuchi

We further study the interfaces arising in a situation of inhomogeneity. More precisely, we identify a characteristic length for the gradient percolation model, that enables us to tighten previous estimates established for it. This allows…

Probability · Mathematics 2009-07-10 Pierre Nolin

Until very recently, the asymptotic occurrence of intrinsic anomalous scaling has been expected to require concomitant effects for kinetically rough interfaces, like quenched disorder or morphological instabilities. However, counterexamples…

Statistical Mechanics · Physics 2024-05-15 E. Rodriguez-Fernandez , S. N. Santalla , M. Castro , R. Cuerno

A finite temperature version of body-centered solid-on-solid growth models involving attachment and detachment of dimers is discussed in 1+1 dimensions. The dynamic exponent of the growing interface is studied numerically via the spectrum…

Statistical Mechanics · Physics 2007-09-27 M. D. Grynberg

The propagation and roughening of a fluid-gas interface through a disordered medium in the case of capillary driven spontaneous imbibition is considered. The system is described by a conserved (model B) phase-field model, with the structure…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , K. R. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

Interfaces advancing through random media represent a number of different problems in physics, biology and other disciplines. Here, we study the pinning/depinning transition of the prototypical non-equilibrium interfacial model, i.e. the…

Statistical Mechanics · Physics 2016-08-10 Belén Moglia , Ezequiel V. Albano , Pablo Villegas , Miguel A. Muñoz

The interplay between quenched disorder and critical behavior in quantum phase transitions is conceptually fascinating and of fundamental importance for understanding phase transitions. However, it is still unclear whether or not the…

We provide a quantitative picture of non-conserved interface growth from a diffusive field making special emphasis on two main issues, the range of validity of the effective small-slopes (interfacial) theories and the interplay between the…

Statistical Mechanics · Physics 2009-11-13 Matteo Nicoli , Mario Castro , Rodolfo Cuerno

We have studied the kinetic roughening of an oil--air interface in a forced imbibition experiment in a horizontal Hele--Shaw cell with quenched disorder. Different disorder configurations, characterized by their persistence length in the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jordi Soriano , Jordi Ortin , Aurora Hernandez-Machado

We calculate the zero-temperature universal electrical conductivity at a superconductor-insulator transition in two spatial dimensions. We focus on transitions in the universality class of the dirty 3d XY model. We use a dual model…

Strongly Correlated Electrons · Physics 2023-12-29 Chao-Jung Lee , Michael Mulligan

Using stability arguments, this Brief Report suggests that a term that enhances the surface tension in the presence of large height fluctuations should be included in the Kardar-Parisi-Zhang equation. A one-loop renormalization group…

Statistical Mechanics · Physics 2009-10-28 Barbara Drossel

We study a modified model of the Kardar-Parisi-Zhang equation with quenched disorder, in which the driving force decreases as the interface rises up. A critical state is self-organized, and the anomalous scaling law with roughness exponent…

Statistical Mechanics · Physics 2015-05-19 Hidetsugu Sakaguchi

We investigate the shape of a growing interface in the presence of an impenetrable moving membrane. The two distinct geometrical arrangements of the interface and membrane, obtained by placing the membrane behind or ahead of the interface,…

Statistical Mechanics · Physics 2018-08-08 J. Whitehouse , R. A. Blythe , M. R. Evans , D. Mukamel

We continue to study a model of disordered interface growth in two dimensions. The interface is given by a height function on the sites of the one--dimensional integer lattice and grows in discrete time: (1) the height above the site $x$…

Probability · Mathematics 2007-05-23 Janko Gravner , Craig A. Tracy , Harold Widom

The kinetic roughening of a stable oil--air interface, moving in a Hele--Shaw cell which contains a quenched columnar disorder (tracks) has been studied. A capillary effect is responsible for the dynamic evolution of the resulting rough…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. Soriano , J. J. Ramasco , M. A. Rodriguez , A. Hernandez-Machado , J. Ortin

The coarsening process in a class of driven systems exhibiting striped structures is studied. The dynamics is governed by the motion of the driven interfaces between the stripes. When two interfaces meet they coalesce thus giving rise to a…

Statistical Mechanics · Physics 2009-10-31 M. R. Evans , Y. Kafri , E. Levine , D. Mukamel

We study the effects of distinct types of quenched disorder in the contact process (CP) with a competitive dynamics on bipartite sublattices. In the model, the particle creation depends on its first and second neighbors and the extinction…

Statistical Mechanics · Physics 2019-05-08 M. N. Gonzaga , C. E. Fiore , M. M. de Oliveira

We study a stability border of a region where nontrivial critical behaviour of an $n$-vector model with long-range power-law decaying interactions is induced by the presence of a structural disorder (e.g. weak quenched dilution). This…

Statistical Mechanics · Physics 2022-12-21 Dmytro Shapoval , Maxym Dudka , Yurij Holovatch

Based on an extension of the fiber bundle model we investigate numerically the motion of the crack front through a weak plane separating a soft and an infinitely stiff block. We find that there are two regimes. At large scales the motion is…

Disordered Systems and Neural Networks · Physics 2013-10-02 Knut S. Gjerden , Arne Stormo , Alex Hansen

We analyze intermittence and roughening of an elastic interface or domain wall pinned in a periodic potential, in the presence of random-bond disorder in (1+1) and (2+1) dimensions. Though the ensemble average behavior is smooth, the…

Statistical Mechanics · Physics 2009-10-31 E. T. Seppälä , M. J. Alava , P. M. Duxbury
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