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Using coarse grained models we investigate the behavior of water adjacent to an extended hydrophobic surface peppered with various fractions of hydrophilic patches of different sizes. We study the spatial dependence of the mean interface…

Statistical Mechanics · Physics 2014-09-09 Adam P. Willard , David Chandler

In this paper we develop a detailed analysis of critical prewetting in the context of the two-dimensional Ising model. Namely, we consider a two-dimensional nearest-neighbor Ising model in a $2N\times N$ rectangular box with a boundary…

Probability · Mathematics 2022-10-04 Dmitry Ioffe , Sébastien Ott , Senya Shlosman , Yvan Velenik

The effect of silicon-oxide interface roughness on the weak-localization magnetoconductance of a silicon MOSFET in a magnetic field, tilted with respect to the interface, is studied. It is shown that an electron picks up a random Berry's…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. Mathur , Harold U. Baranger

In a recent work [Phys. Rev. E 109, L042102 (2024)], interesting dimensional crossovers [from two- to one-dimensional (2D to 1D) scaling] were found in the growth of Kardar-Parisi-Zhang (KPZ) interfaces on rectangular substrates, with…

Statistical Mechanics · Physics 2026-05-08 Ismael S. S. Carrasco , Tiago J. Oliveira

In distinction to the Neumann case the squeezing limit of a Dirichlet network leads in the threshold region generically to a quantum graph with disconnected edges, exceptions may come from threshold resonances. Our main point in this paper…

Mathematical Physics · Physics 2019-12-10 Claudio Cacciapuoti , Pavel Exner

We elucidate a long-standing puzzle about the non-equilibrium universality classes describing self-organized criticality in sandpile models. We show that depinning transitions of linear interfaces in random media and absorbing phase…

Statistical Mechanics · Physics 2007-05-23 Juan A. Bonachela , H. Chate , I. Dornic , Miguel A. Munoz

We have studied numerically the dynamics of a driven elastic interface in a random medium, focusing on the thermal rounding of the depinning transition and on the behavior in the $T=0$ pinned phase. Thermal effects are quantitatively more…

Condensed Matter · Physics 2009-10-22 Lee-Wen Chen , M. Cristina Marchetti

We search for new defect universality classes by considering localised interactions placed on an RG interface separating two interacting multiscalar CFTs in $4-\varepsilon$ dimensions. Studying interactions spread throughout the entire…

High Energy Physics - Theory · Physics 2025-12-03 Samuel Bartlett-Tisdall , Sabine Harribey , William Pannell

We report on the onset of fluid entrainment when a contact line is forced to advance over a dry solid of arbitrary wettability. We show that entrainment occurs at a critical advancing speed beyond which the balance between capillary,…

Soft Condensed Matter · Physics 2015-06-16 Rodrigo Ledesma-Aguilar , Aurora Hernández-Machado , Ignacio Pagonabarraga

Liquid-liquid wetting failure is investigated in a two-dimensional Couette system with two immiscible fluids of arbitrary viscosity. The problem is solved exactly using a sharp interface treatment of hydrodynamics (lubrication theory) as a…

Fluid Dynamics · Physics 2009-11-13 M. Sbragaglia , K. Sugiyama , L. Biferale

We consider nearest-neighbor two-dimensional Potts models, with boundary conditions leading to the presence of an interface along the bottom wall of the box. We show that, after a suitable diffusive scaling, the interface weakly converges…

Probability · Mathematics 2020-08-13 Dmitry Ioffe , Sébastien Ott , Yvan Velenik , Vitali Wachtel

It is known that beyond a critical speed, the straight contact line of a partially-wetting liquid destabilizes into a corner. In one of the earliest theoretical works exploring this phenomenon, [L. Limat and H. A. Stone, Europhys. Lett.…

Fluid Dynamics · Physics 2024-08-12 Akhil Varma

We consider the critical and off-critical properties at the boundary of the random transverse-field Ising spin chain when the distribution of the couplings and/or transverse fields, at a distance $l$ from the surface, deviates from its…

Statistical Mechanics · Physics 2016-08-15 Dragi Karevski , Róbert Juhász , Loïc Turban , Ferenc Iglói

We derived a dispersion relation of a surface wave at a rough metal-air interface. In contrast to previous publications, we assumed that an intrinsic surface impedance due to a finite electric conductivity of the metal can be of the same…

Optics · Physics 2016-12-07 Igor Kotelnikov , Gennady Stupakov

A model of a shear band as a zero-thickness nonlinear interface is proposed and tested using finite element simulations. An imperfection approach is used in this model where a shear band, that is assumed to lie in a ductile matrix material…

Materials Science · Physics 2015-01-29 N. Bordignon , A. Piccolroaz , F. Dal Corso , D. Bigoni

The mixed spin-1/2 and spin-3/2 Ising model on the union jack lattice is solved by establishing a mapping correspondence with the eight-vertex model. It is shown that the model under investigation becomes exactly soluble as a free-fermion…

Statistical Mechanics · Physics 2015-06-25 Jozef Strecka

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

We study the dewetting of a porous plate withdrawn from a bath of fluid. The microscopic contact angle is fixed to zero and the flow is assumed to be parallel to the plate (lubrication approximation). The ordinary differential equation…

Soft Condensed Matter · Physics 2007-05-23 Olivier Devauchelle , Christophe Josserand , Stephane Zaleski

Recent experiments by Kavousanakis et al., Langmuir, 2018 [1], showed that reversible electrowetting on superhydrophobic surfaces can be achieved by using a thick solid dielectric layer (e.g. tens of micrometers). It has also been shown,…

Soft Condensed Matter · Physics 2018-07-30 Nikolaos T. Chamakos , George Karapetsas , Athanasios G. Papathanasiou

Complete wetting is a universal phenomenon associated with interfaces separating coexisting phases. For example, in the pure gluon theory, at $T_c$ an interface separating two distinct high-temperature deconfined phases splits into two…

High Energy Physics - Theory · Physics 2009-10-31 A. Campos , K. Holland , U. -J. Wiese
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