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A spin-glass system with a smooth or fractal outer surface is studied by renormalization-group theory, in bulk spatial dimension d=3. Independently varying the surface and bulk random-interaction strengths, phase diagrams are calculated.…

Disordered Systems and Neural Networks · Physics 2025-02-18 Yiğit Ertaç Pektaş , E. Can Artun , A. Nihat Berker

A limited mobility nonequilibrium solid-on-solid dynamical model for kinetic surface growth is introduced as a simple description for the morphological evolution of a growing interface under random vapor deposition and surface diffusion…

Statistical Mechanics · Physics 2009-10-31 S. Das Sarma , P. Punyindu

We investigate the nonequilibrium roughening transition of a one-dimensional restricted solid-on-solid model by directly sampling the stationary probability density of a suitable order parameter as the surface adsorption rate varies. The…

Statistical Mechanics · Physics 2012-05-10 J. Ricardo G. Mendonça

Using dissipative particle dynamics simulations, we study the effects of an embedding bulk fluid on the phase separation dynamics in a thin planar liquid film. The domain growth exponent is altered from 2D to 3D behavior upon the addition…

Soft Condensed Matter · Physics 2015-05-18 Sanoop Ramachandran , Shigeyuki Komura , Gerhard Gompper

For the development of porous materials with improved transport properties, a key missing ingredient is to determine the relations between growth kinetics, structure, and transport parameters. Here, we address these relations by studying…

Statistical Mechanics · Physics 2024-03-14 Gabriela B. Correa , Renan A. L. Almeida , Fabio D. A. Aarao Reis

The effects of a randomly moving environment on a randomly growing interface are studied by the field theoretic renormalization group analysis. The kinetic growth of an interface (kinetic roughening) is described by the Kardar-Parisi-Zhang…

Statistical Mechanics · Physics 2020-01-28 N. V. Antonov , P. I. Kakin , N. M. Lebedev

Motivated by solid-solid phase transitions in elastic thin films, we perform a Gamma-convergence analysis for a singularly perturbed energy describing second order phase transitions in a domain of vanishing thickness. Under a two-wells…

Analysis of PDEs · Mathematics 2012-02-29 Bernardo Galvão-Sousa , Vincent Millot

We numerically study a one-dimensional conserved growth equation with competing linear (Ehrlich-Schwoebel) and nonlinear instabilities. As a control parameter is varied, this model exhibits a non-equilibrium phase transition between two…

Materials Science · Physics 2009-11-10 Buddhapriya Chakrabarti , Chandan Dasgupta

Disordered granular matter exhibits mechanical responses that occupy the boundary between fluids and solids, lacking a complete description within a continuum theoretical framework. Recent studies have shown that, in the quasi-static limit,…

Soft Condensed Matter · Physics 2024-08-26 Noemie S. Livne , Tuhin Samanta , Amit Schiller , Itamar Procaccia , Michael Moshe

Using scaled-particle theory for binary mixtures of two-dimensional hard particles with rotational freedom, we analyse the stability of nematic phases and the demixing phase behaviour of a variety of mixtures, focussing on cases where at…

Soft Condensed Matter · Physics 2009-11-13 D. de las Heras , Y. Martinez-Raton , E. Velasco

The magnetic order-disorder layering transitions of a spin-1 Ising model are investigated, under the effect of a variable surface crystal field $\Delta_{s}$, using the mean field theory. Each layer $k$, of the film formed with $N$ layers,…

Soft Condensed Matter · Physics 2009-11-07 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

Turbulent flow over a surface with streamwise-elongated rough and smooth stripes is studied by means of direct numerical simulation (DNS) in a periodic plane open channel with fully resolved roughness. The goal is to understand how the mean…

Fluid Dynamics · Physics 2021-09-23 A. Stroh , K. Schäfer , B. Frohnapfel , P. Forooghi

We consider binary liquid mixtures near their critical consolute points and exposed to geometrically flat but chemically structured substrates. The chemical contrast between the various substrate structures amounts to opposite local…

Soft Condensed Matter · Physics 2009-11-11 Monika Sprenger , Frank Schlesener , S. Dietrich

Numerical simulations of phase ordering under dissipative dynamics in a (2+1)-dimensional 3-vector model with O(3) symmetry are reported. The energy functional includes terms which stabilize the size of extended topological defects. They…

High Energy Physics - Phenomenology · Physics 2011-07-19 G. Holzwarth , J. Klomfass

Binary mixtures prepared in an homogeneous phase and quenched into a two-phase region phase-separate via a coarsening process whereby domains of the two phases grow in time. With a numerical study of a spin-exchange model we show that this…

Statistical Mechanics · Physics 2016-11-28 Alessandro Tartaglia , Leticia F. Cugliandolo , Marco Picco

The films of order-disorder type ferroelectrics were considered in the mean field approximation taking into account depolarization field. It was shown that size effects in this system could be described on the base of bulk system equation…

Materials Science · Physics 2007-05-23 E. A. Eliseev , M. D. Glinchuk

Partially phase-separated liquid-crystal/polymer dispersions display highly fibrillar domain morphologies that are dramatically different from the typical structures found in isotropic mixtures. To explain this, we numerically explore the…

Soft Condensed Matter · Physics 2009-10-31 Amelia M. Lapena , Sharon C. Glotzer , Stephen A. Langer , Andrea J. Liu

We study the phase behaviour of a fluid composed of particles which interact via a pair potential that is repulsive for large inter-particle distances, is attractive at intermediate distances and is strongly repulsive at short distances…

Soft Condensed Matter · Physics 2008-09-17 A. J. Archer , C. Ionescu , D. Pini , L. Reatto

Direct comparison is made of the steady-sates and coarsening dynamics in a local system and its nonlocal generalization. The example system is the surface of a solid film in a strong electric field; the morphological evolution of the…

Pattern Formation and Solitons · Physics 2015-02-24 Mikhail Khenner

Surface roughness is a key factor when it comes to friction and wear, as well as to other physical properties. These phenomena are controlled by mechanisms acting at small scales, in which the topography of apparently-flat surfaces is…

Materials Science · Physics 2024-11-05 Joaquin Garcia-Suarez , Tobias Brink , Jean-François Molinari