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We study the forced fluid invasion of an air-filled model porous medium at constant flow rate, in 1+1 dimensions, both experimentally and theoretically. We focus on the non-local character of the interface dynamics, due to liquid…

Condensed Matter · Physics 2009-11-07 A. Hernandez-Machado , J. Soriano , A. M. Lacasta , M. A. Rodriguez , L. Ramirez-Piscina , J. Ortin

Systems with quenched disorder possess complex energy landscapes that are challenging to explore under the conventional Monte Carlo method. In this work, we implement an efficient entropy sampling scheme for accurate computation of the…

Disordered Systems and Neural Networks · Physics 2025-05-08 Yi Liu , Ding Wang , Xin Wang , Dao-Xin Yao , Lei-Han Tang

We investigate the crossover properties of the frustrated percolation model on a two-dimensional square lattice, with asymmetric distribution of ferromagnetic and antiferromagnetic interactions. We determine the critical exponents nu, gamma…

Statistical Mechanics · Physics 2015-06-25 L. Cannavacciuolo , A. de Candia , A. Coniglio

We study the occurrence of domain branching in a class of $(d+1)$-dimensional sharp interface models featuring the competition between an interfacial energy and a non-local field energy. Our motivation comes from branching in uniaxial…

Analysis of PDEs · Mathematics 2024-07-15 Tobias Ried , Carlos Román

We study the pinning transition in a (1+1)-dimensional lattice model of a fluctuating interface interacting with a corrugated impenetrable wall. The interface is modeled as an $N$-step directed one-dimensional random walk on the half-line…

Statistical Mechanics · Physics 2026-01-06 Ruijie Xu , Sergei Nechaev

Using spin waves we directly probe the interface of an exchange biased Ni$_{80}$Fe$_{20}$/Ir$_{25}$Mn$_{75}$ film which has been modified by the presence of an Au dusting layer. Combining this experimental data with a discretised simulation…

Mesoscale and Nanoscale Physics · Physics 2011-12-12 R. Magaraggia , S. McIntyre , K. Kennewell , R. L. Stamps , M. Ali , D. Greig , B. J. Hickey , C. H. Marrows

Using selection rules imposed by the Pauli principle, we classify pairing correlations according to their symmetry properties with respect to spin, momentum, and energy. We observe that inhomogeneity always leads to mixing of even- and…

Superconductivity · Physics 2007-05-23 M. Eschrig , T. Lofwander , T. Champel , J. C. Cuevas , J. Kopu , Gerd Schön

We study the random-cluster model on trees and treelike graphs at low temperatures. This is a model of dependent percolation parametrized by an edge probability $p\in (0,1)$ and a clustering weight $q\in [1,\infty)$, generalizing…

Probability · Mathematics 2026-04-23 Antonio Blanca , Reza Gheissari , Heehyun Park , Xusheng Zhang

We study the multifractal spectrum of the current in the two-dimensional random resistor network at the percolation threshold. We consider two ways of applying the voltage difference: (i) two parallel bars, and (ii) two points. Our…

Statistical Mechanics · Physics 2009-10-31 M. Barthelemy , S. V. Buldyrev , S. Havlin , H. E. Stanley

We compare results of the exact field theory of phase separation in two dimensions with Monte Carlo simulations for the $q$-state Potts model with boundary conditions producing an interfacial region separating two pure phases. We confirm in…

Statistical Mechanics · Physics 2018-05-15 Gesualdo Delfino , Walter Selke , Alessio Squarcini

The ab initio simulation of charged interfaces in the framework of density functional theory (DFT) is heavily employed for the study of electrochemical energy conversion processes. The capacitance is the primary descriptor for the response…

Materials Science · Physics 2022-04-26 Tobias Binninger

With the chiral susceptibility criterion we obtain the phase diagram of strong-interaction matter in terms of temperature and chemical potential in the framework of Dyson-Schwinger equations (DSEs) of QCD.After calculating the pressure and…

High Energy Physics - Phenomenology · Physics 2016-11-30 Fei Gao , Yu-xin Liu

The unbinding properties of an interface near structured wedges are investigated by discrete models with short range interactions. The calculations demonstrate that interface unbinding take place in two stages: $i$) a continuous…

Statistical Mechanics · Physics 2009-11-11 Gilberto Giugliarelli

We characterize the behavior of a random discrete interface $\phi$ on $[-L,L]^d \cap \mathbb{Z}^d$ with energy $\sum V(\Delta \phi(x))$ as $L \to \infty$, where $\Delta$ is the discrete Laplacian and $V$ is a uniformly convex, symmetric,…

Probability · Mathematics 2023-02-14 Eric Thoma

This article is devoted to the study of a finite system of long clusters of subcritical 2-dimensional FK-percolation with q $\geq$ 1, conditioned on mutual avoidance. We show that the diffusive scaling limit of such a system is given by a…

Probability · Mathematics 2025-07-03 Lucas D'Alimonte

We demonstrate experimentally dynamic interface binding in a system consisting of two coupled ferromagnetic layers. While domain walls in each layer have different velocity-field responses, for two broad ranges of the driving field, H,…

Materials Science · Physics 2010-06-15 P. J. Metaxas , R. L. Stamps , J. P. Jamet , J. Ferré , V. Baltz , B. Rodmacq , P. Politi

An intrinsic feature of nearly all internal interfaces in crystalline systems (homo- and hetero-phase) is the presence of disconnections (topological line defects constrained to the interface that have both step and dislocation character).…

Materials Science · Physics 2023-05-12 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han

Enchanting ripple pattern exist on interface, and manifest them self in it's fluctuation profile as well. These ripples apparently flow as the interface struck with inhomogeneous externally driven field interface, moves fluctuating about it…

Statistical Mechanics · Physics 2016-02-26 Manish K. Sahai

Using micro-bridge technique, we have studied the vortex dynamics in a very low temperature region (i.e. T/Tc -> 0) of the B-T phase diagram of Bi_2Sr_2Ca_1Cu_2O_{8+\delta} single crystal. We distinguish two types of vortex dynamics near…

Superconductivity · Physics 2015-05-14 L. Ammor , A. Ruyter , V. A. Shaidiuk , N. H. Hong , D. Plessis

We apply connectedness percolation theory to fractal liquids of hard particles, and make use of a Percus-Yevick liquid state theory combined with a geometric connectivity criterion. We find that in fractal dimensions the percolation…

Statistical Mechanics · Physics 2021-11-24 René de Bruijn , Paul van der Schoot
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