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A class of solid-on-solid growth models with short range interactions and sequential updates is studied. The models exhibit both smooth and rough phases in dimension d=1. Some of the features of the roughening transition which takes place…

Statistical Mechanics · Physics 2009-10-30 Uri Alon , Martin Evans , Haye Hinrichsen , David Mukamel

Ferroic domain walls are known to display the characteristic scaling properties of self-affine rough interfaces. Different methods have been used to extract roughness information in ferroelectric and ferromagnetic materials. Here, we review…

Disordered Systems and Neural Networks · Physics 2021-07-22 J. Guyonnet , E. Agoritsas , P. Paruch , S. Bustingorry

We study the phenomenon of super-roughening found on surfaces growing on disordered substrates. We consider a one-dimensional version of the problem for which the pure, ordered model exhibits a roughening phase transition. Extensive…

Statistical Mechanics · Physics 2009-11-10 Saul Ares , Angel Sanchez , Alan R. Bishop

Experimental testing on dry woven fabrics exhibits a complex set of evidences that are difficult to be completely described using classical continuum models. The aim of this paper is to show how the introduction of energy terms related to…

Soft Condensed Matter · Physics 2016-09-16 Gabriele Barbagallo , Angela Madeo , Fabrice Morestin , Philippe Boisse

Evolution of mixing of granular solids in a slowly rotated 2D drum is considered as a discrete mapping. The rotation is around the axis of the upright drum which is filled partially, and the mixing occurs only at a free surface of a…

Condensed Matter · Physics 2007-05-23 S. N. Dorogovtsev

Two-fluid interfaces in porous media, an example of driven disordered systems, were studied by a real time three-dimensional imaging technique with pore scale resolution for a less viscous fluid displacing a more viscous one. With…

Soft Condensed Matter · Physics 2011-03-23 Prerna Sharma , P. Aswathi , Anit Sane , Shankar Ghosh , S. Bhattacharya

Surface roughness significantly impacts transition to turbulence, especially over high-speed, blunt geometries where surface ablation is necessary to mitigate heat loads during atmospheric entry. Inspired by sand-grain roughness experiments…

Fluid Dynamics · Physics 2026-02-04 Sean Dungan , Mateus Braga , Robyn Macdonald , Christoph Brehm

The prediction of the final state probabilities of a general cuboid randomly thrown onto a surface is a problem that naturally arises in the minds of men and women familiar with regular cubic dice and the basic concepts of probability.…

Classical Physics · Physics 2014-07-24 G. A. T. Pender , M. Uhrin

We provide a theoretical framework to analyze the properties of frontal collisions of two growing interfaces considering different short range interactions between them. Due to their roughness, the collision events spread in time and form…

Statistical Mechanics · Physics 2019-02-05 Fabio D. A. Aarao Reis , Olivier Pierre-Louis

The Refl1d program is used for modeling and fitting data from neutron and X-ray reflectometry experiments. The model of the (thin-film) samples is typically constructed of discrete layers of different scattering-length densities (SLD).…

Computational Physics · Physics 2018-01-22 Brian B. Maranville , Aaron Green , Paul A. Kienzle

Developable surfaces are commonly observed in various applications such as architecture, product design, manufacturing, mechanical materials, and data physicalization as well as in the development of tangible interaction and deformable…

Graphics · Computer Science 2023-06-16 Chao Yuan , Nan Cao , Yang Shi

We report on large scale numerical simulations of fracture surfaces using random fuse networks for two very different disorders. There are some properties and exponents that are different for the two distributions, but others, notably the…

Soft Condensed Matter · Physics 2009-10-30 G. George Batrouni , Alex Hansen

Modeling folding surfaces with nonzero thickness is of practical interest for mechanical engineering. There are many existing approaches that account for material thickness in folding applications. We propose a new systematic and broadly…

Computational Geometry · Computer Science 2016-01-22 Jason S. Ku , Erik D. Demaine

I show that non-equilibrium two-dimensional interfaces between three dimensional phase separated fluids exhibit a peculiar "sub-logarithmic" roughness. Specifically, an interface of lateral extent $L$ will fluctuate vertically (i.e., normal…

Soft Condensed Matter · Physics 2023-04-26 John Toner

Two dimensional (2D) and three dimensional (3D) Rayleigh-B\'enard convection is compared using results from direct numerical simulations and prior experiments. The explored phase diagrams for both cases are reviewed. The differences and…

Fluid Dynamics · Physics 2015-02-06 Erwin P. van der Poel , Richard J. A. M. Stevens , Detlef Lohse

A "two-dimensional ballistic deposition" (2D-BD) code has been developed to study the geometric effects in ballistic deposition of thin-film growth. Circular discs are used as depositing specie to understand the shadowing effects during the…

Computational Physics · Physics 2021-10-22 S. Bukkuru , H. Hemani , S. M. Haque , J. Alphonsa , K. Divakar Rao , M. Warrier

We solve a one-dimensional sandpile problem analytically in a thick flow regime when the pile evolution may be described by a set of linear equations. We demonstrate that, if an income flow is constant, a space periodicity takes place while…

Materials Science · Physics 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

Growth processes and interface fluctuations can be studied through the properties of global quantities. We here discuss a global quantity that not only captures better the roughness of an interface than the widely studied surface width, but…

Statistical Mechanics · Physics 2015-06-03 Yen-Liang Chou , Michel Pleimling

Curved thin sheets are ubiquitously found in nature and manmade structures. Within the framework of classical thin plate theory, the stiffness of thin sheets is independent of its bending state. This assumption, however, goes against…

Materials Science · Physics 2016-06-10 V. Pini , J. J. Ruz , P. M. Kosaka , O. Malvar , M. Calleja , J. Tamayo

Multiphase field models have emerged as an important computational tool for understanding biological tissue while resolving single-cell properties. While they have successfully reproduced many experimentally observed behaviors of living…

Soft Condensed Matter · Physics 2025-02-13 Michael Chiang , Austin Hopkins , Benjamin Loewe , Davide Marenduzzo , M. Cristina Marchetti