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Related papers: Discontinuous Interface Depinning from a Rough Wal…

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A $2D$ model describing depinning of an interface from a rough, self-affine substrate, is studied by transfer matrix methods. The phase diagram is determined for several values of the roughness exponent, $\zeta_S$, of the attractive wall.…

Statistical Mechanics · Physics 2015-06-25 G. Giugliarelli , A. L. Stella

We employ a functional renormalization group to study interfaces in the presence of a pinning potential in $d=4-\epsilon$ dimensions. In contrast to a previous approach [D.S. Fisher, Phys. Rev. Lett. {\bf 56}, 1964 (1986)] we use a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Stefan Scheidl , Yusuf Dincer

Roughness of driven elastic interfaces in random media is typically understood to be characterized by a single roughness exponent $\zeta$. We show that at the depinning threshold, due to symmetry breaking caused by the direction of the…

Statistical Mechanics · Physics 2022-10-20 Esko Toivonen , Matti Molkkari , Esa Räsänen , Lasse Laurson

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

The theory of interface localization in near-critical planar systems at phase coexistence is formulated from first principles. We show that mutual delocalization of two interfaces, amounting to interfacial wetting, occurs when the bulk…

Statistical Mechanics · Physics 2016-05-13 Gesualdo Delfino

We study the roughening of interfaces in phase-separated active suspensions on substrates. At both large length and timescales, we show that the interfacial dynamics belongs to the |q|KPZ universality class discussed in Besse et al. Phys.…

Soft Condensed Matter · Physics 2025-03-25 Fernando Caballero , Ananyo Maitra , Cesare Nardini

The behavior of interfaces in the presence of both lattice pinning and random field (RF) or random bond (RB) disorder is studied using scaling arguments and functional renormalization techniques. For the first time we show that there is a…

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

We study the local scaling properties of driven interfaces in disordered media modeled by the Edwards-Wilkinson equation with quenched noise. We find that, due to the super-rough character of the interface close to the depinning transition,…

Condensed Matter · Physics 2009-10-30 Juan M. Lopez , Miguel A. Rodriguez

Critical wetting transitions under nonequilibrium conditions are studied numerically and analytically by means of an interface-displacement model defined by a Kardar-Parisi-Zhang equation, plus some extra terms representing a limiting,…

Statistical Mechanics · Physics 2009-11-13 Elvira Romera , Francisco de los Santos , Omar Al Hammal , Miguel A. Munoz

Interfaces in three-dimensional many-body systems can exhibit rich phenomena beyond the corresponding bulk properties. In particular, they can fluctuate and give rise to massless low energy degrees of freedom even in the presence of a…

Strongly Correlated Electrons · Physics 2026-01-13 Atsushi Ueda , Lander Burgelman , Luca Tagliacozzo , Laurens Vanderstraeten

We investigate theoretically the possibility of a wetting transition induced by geometric roughness of a solid substrate for the case where the flat substrate does not show a wetting layer. Our approach makes use of a novel closed-form…

Soft Condensed Matter · Physics 2009-10-31 R. R. Netz , D. Andelman

We study complete wetting of solid walls that are patterned by parallel nanogrooves of depth $D$ and width $L$ with a periodicity of $2L$. The wall is formed of a material which interacts with the fluid via a long-range potential and…

Statistical Mechanics · Physics 2019-05-01 Alexandr Malijevský

We examine whether cubic non-linearities, allowed by symmetry in the elastic energy of a contact line, may result in a different universality class at depinning. Standard linear elasticity predicts a roughness exponent zeta=1/3 (one loop),…

Soft Condensed Matter · Physics 2013-05-29 Pierre Le Doussal , Kay Joerg Wiese , Elie Raphael , Ramin Golestanian

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 consider an interface above an attractive hard wall in the complete wetting regime, and submitted to the action of an external increasing, convex potential, and study its delocalization as the intensity of this potential vanishes. Our…

Probability · Mathematics 2011-08-25 Yvan Velenik

We show that the critical behavior of a driven interface, depinned from quenched random impurities, depends on the isotropy of the medium. In anisotropic media the interface is pinned by a bounding (conducting) surface characteristic of a…

Condensed Matter · Physics 2009-10-22 L. -H. Tang , M. Kardar , D. Dhar

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

We study the irreversible adsorption of patchy particles on substrates in the limit of advective mass transport. Recent numerical results show that the interface roughening depends strongly on the particle attributes, such as, patch-patch…

Statistical Mechanics · Physics 2015-05-20 N. A. M. Araújo , C. S. Dias , M. M. Telo da Gama

The depinning transition of elastic interfaces with an elastic interaction kernel decaying as $1/r^{d+\sigma}$ is characterized by critical exponents which continuously vary with $\sigma$. These exponents are expected to be unique and…

Disordered Systems and Neural Networks · Physics 2018-10-10 A. B. Kolton , E. A. Jagla

We study a $d=2$ discrete solid--on--solid model of complete wetting of a rough substrate with random self--affine boundary, having roughness exponent $\zeta_s$. A suitable transfer matrix approach allows to discuss adsorption isotherms, as…

Condensed Matter · Physics 2009-10-22 G. Giugliarelli , A. L. Stella
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