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A two-dimensional Ising model with short-range interactions and mobile defects describing the formation and thermal destruction of defect stripes is studied. In particular, the effect of a local pinning of the defects at the sites of…

Condensed Matter · Physics 2007-05-23 M. Holtschneider , W. Selke

The quantitative description of lubricant flow in nanoscale channels is complicated by various finite-size effects that are not taken into account in conventional thermo-elasto-hydrodynamic lubrication (TEHL) models. One of these effects is…

We study the localization properties of the low-lying Dirac eigenmodes in QCD at imaginary chemical potential $\hat{\mu}_I=\pi$ at temperatures above the Roberge-Weiss transition temperature $T_{\rm RW}$. We find that modes are localized up…

High Energy Physics - Lattice · Physics 2022-01-26 Marco Cardinali , Massimo D'Elia , Francesco Garosi , Matteo Giordano

Experimental realizations of a 1D interface always exhibit a finite microscopic width $\xi>0$; its influence is erased by thermal fluctuations at sufficiently high temperatures, but turns out to be a crucial ingredient for the description…

Disordered Systems and Neural Networks · Physics 2013-05-14 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

In this paper we investigate the dynamical behavior of an interface or polymer, in interaction with a distant attractive substrate. The interface is modeled by the graph of a nearest neighbor path with non-negative integer coordinates, and…

Probability · Mathematics 2014-01-06 Hubert Lacoin , Augusto Teixeira

The motion of an air-fluid interface through an irregularly coated capillary is studied by analysing the Lucas-Washburn equation with a random capillary force. The pinning probability goes from zero to a maximum value, as the interface…

Fluid Dynamics · Physics 2009-11-13 Fabiana Diotallevi , Andrea Puglisi , Antonio Lamura , Sauro Succi

By means of three dimensional, high resolution hydrodynamical simulations we study the orbital evolution of weakly eccentric or inclined low-mass protoplanets embedded in gaseous discs subject to thermal diffusion. We consider both…

Earth and Planetary Astrophysics · Physics 2023-03-15 S. Cornejo , F. S. Masset , R. O. Chametla , S. Fromenteau

We study the topology of fluid interfaces in the 3D Ising model in the rough phase. It turns out that such interfaces are accurately described as dilute gases of microscopic handles, and the stiffness of the interface increases with the…

Condensed Matter · Physics 2015-06-25 M. Caselle , F. Gliozzi , U. Magnea

The influence of a strong surface potential on the critical depinning of an elastic system driven in a random medium is considered. If the surface potential prevents depinning completely the elastic system shows a parabolic displacement…

Statistical Mechanics · Physics 2008-06-24 Andreas Glatz , Thomas Nattermann

We consider the equilibrium statistical properties of interfaces submitted to competing interactions; a long-range repulsive Coulomb interaction inherent to the charged interface and a short-range, anisotropic, attractive one due to either…

Statistical Mechanics · Physics 2009-11-07 Sofian Teber

We study transport of interacting electrons in a low-dimensional disordered system at low temperature $T$. In view of localization by disorder, the conductivity $\sigma(T)$ may only be non-zero due to electron-electron scattering. For weak…

Disordered Systems and Neural Networks · Physics 2009-11-11 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

In this work we propose an extension to the analytical one-dimensional model proposed by E. Gnecco (Phys. Rev. Lett. 84:1172) to describe friction. Our model includes normal forces and the dependence with the angular direction of movement…

Computational Physics · Physics 2007-12-04 R. A. Dias , P. Z. Coura , M. Rapini , B. V. Costa

The simultaneous effect of both disorder and crystal-lattice pinning on the equilibrium behavior of oriented elastic objects is studied using scaling arguments and a functional renormalization group technique. Our analysis applies to…

Statistical Mechanics · Physics 2009-10-31 Thorsten Emig , Thomas Nattermann

A plethora of two-dimensional (2D) materials entered the physics and engineering scene in the last two decades. Their robust, membrane-like sheet permit -- mostly require -- deposition, giving rise to solid-solid dry interfaces whose bodily…

Materials Science · Physics 2023-06-01 Jin Wang , Ali Khosravi , Andrea Vanossi , Erio Tosatti

A model for crack propagation and contact line depinning is studied. Although the model contains nonlocal interactions, it obeys general scaling relations for depinning via localized bursts or avalanches. Our numerical result for the…

Condensed Matter · Physics 2007-05-23 Peter B. Thomas , Maya Paczuski

The depinning of a contact line is studied as a dynamical critical phenomenon by a functional renormalization group technique. In $D=2-\epsilon$ interface dimensions, the roughness exponent is $\zeta=\epsilon/3$ to all orders in…

Condensed Matter · Physics 2009-10-22 Deniz Ertas , Mehran Kardar

We consider the d-dimensional massless free field localized by a delta-pinning of strength e. We study the asymptotics of the variance of the field, and of the decay-rate of its 2-point function, as e goes to zero, for general Gaussian…

Probability · Mathematics 2009-10-31 Erwin Bolthausen , Yvan Velenik

We investigate the laws of coarsening of a two-dimensional system of Ising spins evolving under single-spin-flip irreversible dynamics at low temperature from a disordered initial condition. The irreversibility of the dynamics comes from…

Statistical Mechanics · Physics 2015-07-28 C. Godreche , M. Pleimling

The pinning-depinning phase transitions of interfaces for two classes of discrete elastic-string models are investigated numerically. In the (1+1)-dimensions, we revisit these two elastic-string models with slight modification to growth…

Statistical Mechanics · Physics 2025-01-31 Yongxin Wu , Hui Xia

We present a comparative analysis of the velocity dependence of atomic-scale friction for the Tomlinson model, at zero and finite temperatures, in 1D and 2D, and for different values of the damping. Combining analytical arguments with…

Other Condensed Matter · Physics 2009-11-11 C. Fusco , A. Fasolino