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A new diffuse interface model has been proposed in this study for simulating binary alloy solidification under universal cooling conditions, involving both equilibrium and non-equilibrium solute partitioning. Starting from the Gibbs-Thomson…

Materials Science · Physics 2023-09-22 Chuanqi Zhu , Yusuke Seguchi , Masayuki Okugawa , Yuichiro Koizumi

A hierarchical froth model of the interface of a random $q$-state Potts ferromagnet in $2D$ is studied by recursive methods. A fraction $p$ of the nearest neighbour bonds is made inaccessible to domain walls by infinitely strong…

Condensed Matter · Physics 2009-10-28 Giovanni Sartoni , Attilio L. Stella

We consider the dynamics and kinetic roughening of wetting fronts in the case of forced wetting driven by a constant mass flux into a 2D disordered medium. We employ a coarse-grained phase field model with local conservation of density,…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Laurila , C. Tong , I. Huopaniemi , S. Majaniemi , T. Ala-Nissila

We study the depinning transition for models representative of each of the two universality classes of interface roughening with quenched disorder. For one of the universality classes, the roughness exponent changes value at the transition,…

Condensed Matter · Physics 2009-10-22 Hernan A. Makse , Luis A. Nunes Amaral

Faceted interfaces are a key feature in self-resembling morphologies of many microstructures generated from solid state phase transformations. Interpretations, predictions and simulations of the faceted morphologies remain a challenge,…

Materials Science · Physics 2017-09-13 W. -Z. Zhang , X. -F. Gu , F. -Z. Dai

The effect of thermal fluctuations near a contact line of a liquid interface partially wetting an impenetrable substrate is studied analytically and numerically. Promoting both the interface profile and the contact line position to random…

Soft Condensed Matter · Physics 2016-11-15 D. Belardinelli , M. Sbragaglia , M. Gross , B. Andreotti

We present a theoretical and numerical investigation of the effect of a time-varying external driving force on interface growth. First, we derive a relation between the roughening exponents which comes from a generalized Galilean…

Condensed Matter · Physics 2010-12-17 E. Hernandez-Garcia , T. Ala-Nissila , Martin Grant

This paper presents an experimental study on the transition from smooth to rough walls, and back to the smooth one, in turbulent closed-conduit flows. These transitions cause a shift on flow velocity profiles that changes their parameters…

Fluid Dynamics · Physics 2018-04-10 Gabriel Maltese Meletti de Oliveira , Erick de Moraes Franklin

Interface localization-delocalization transitions (ILDT) occur in two-phase fluids confined in a slit with competing preferences of the walls for the two fluid phases. At low temperatures the interface between the two phases is localized at…

Soft Condensed Matter · Physics 2019-01-01 Svyatoslav Kondrat , Oleg A. Vasilyev , S. Dietrich

The hydrodynamic slippage at a solid-liquid interface is currently at the center of our understanding of fluid mechanics. For hundreds of years this science has relied upon no-slip boundary conditions at the solid-liquid interface that has…

Soft Condensed Matter · Physics 2015-03-17 Olga I. Vinogradova , Aleksey V. Belyaev

Disordered elastic interfaces display avalanche dynamics at the depinning transition. For short-range interactions, avalanches correspond to compact reorganizations of the interface well described by the depinning theory. For long-range…

Statistical Mechanics · Physics 2021-01-20 Clément Le Priol , Pierre Le Doussal , Alberto Rosso

We investigate the influence of interactions and geometry on ground states of clean chaotic quantum dots using the self-consistent Hartree-Fock method. We find two distinct regimes of interaction strength: While capacitive energy…

Disordered Systems and Neural Networks · Physics 2009-10-31 Kang-Hun Ahn , Klaus Richter , In-Ho Lee

Interfacial roughening denotes the nonequilibrium process by which an initially flat interface reaches its equilibrium state, characterized by the presence of thermally excited capillary waves. Roughening of fluid interfaces has been first…

Statistical Mechanics · Physics 2013-02-28 Markus Gross , Fathollah Varnik

The position of an interface (domain wall) in a medium with random pinning defects is not determined unambiguously by a current value of the driving force even in average. Based on general theory of the interface motion in a random medium…

Disordered Systems and Neural Networks · Physics 2009-11-10 Thomas Nattermann , Valery Pokrovsky

A theoretical model is proposed to explain the roughness characteristics of an ice surface grown from a gravity and wind-driven supercooled water film flowing over an inclined plane. The effects of the water supply rate, plane slope and air…

Fluid Dynamics · Physics 2015-03-19 K. Ueno , M. Farzaneh

Random tilings of very large domains will typically lead to a solid, a liquid, and a gas phase. In the two-phase case, the solid-liquid boundary (arctic curve) is smooth, possibly with singularities. At the point of tangency of the arctic…

Mathematical Physics · Physics 2023-02-23 Mark Adler , Pierre van Moerbeke

We consider the dynamics and kinetic roughening of interfaces embedded in uniformly random media near percolation treshold. In particular, we study simple discrete ``forest fire'' lattice models through Monte Carlo simulations in two and…

Statistical Mechanics · Physics 2009-10-31 M. -P. Kuittu , M. Haataja , N. Provatas , T. Ala-Nissila

An analytical description of the interface motion of a collapsing nanometer-sized spherical cavity in water is presented by a modification of the Rayleigh-Plesset equation in conjunction with explicit solvent molecular dynamics simulations.…

Soft Condensed Matter · Physics 2009-11-13 Joachim Dzubiella

This study has numerically investigated the effect of surface wettability on two-phase immiscible flow and dynamics of droplet pinch-off in a T-junction microchannel using finite element method. A conservative level set method (CLSM) has…

Fluid Dynamics · Physics 2022-12-01 Akepogu Venkateshwarlu , Ram Prakash Bharti

We studied the curvature-driven roughening of a disk domain pattern with a variable interface window. The relaxation of interface is driven by negative surface tension . When a domain boundary propagates radially at a constant rate, we…

Chaotic Dynamics · Physics 2015-06-11 Yong-Jun Chen , Yuko Nagamine , Tomohiko Yamaguchi , Kenichi Yoshikawa