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Based on a data set obtained in a dental longitudinal study, conducted in Flanders (Belgium), the joint time to caries distribution of permanent first molars was modeled as a function of covariates. This involves an analysis of multivariate…

Applications · Statistics 2011-01-10 Alejandro Jara , Emmanuel Lesaffre , Maria De Iorio , Fernando Quintana

We report results of molecular dynamics simulations of a binary Lennard-Jones system at zero pressure in the undercooled liquid and glassy states. We first follow the evolution of diffusivity and dynamic heterogeneity with temperature and…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. R. Schober

The author investigates the onset of patterns in vertically oscillated layers of dissipative particles using numerical solutions of continuum equations to Navier-Stokes order. Above a critical accelerational amplitude of the cell, standing…

Soft Condensed Matter · Physics 2010-03-12 J. Bougie

A discrete model describing defects in crystal lattices and having the standard linear anisotropic elasticity as its continuum limit is proposed. The main ingredients entering the model are the elastic stiffness constants of the material…

Materials Science · Physics 2007-05-23 A. Carpio , L. L. Bonilla

We study the interplay of electron-electron and electron-disorder scattering in correlated Fermi liquids by the disordered Hubbard model using dynamical mean-field theory with an IPT-CPA solver. We find significant violations of…

Strongly Correlated Electrons · Physics 2025-02-25 Arianna Poli , Simone Fratini , Jennifer Coulter , Andrew J. Millis , Sergio Ciuchi

The current conceptual model of mineral dissolution in porous media is comprised of three dissolution patterns (wormhole, compact, and uniform) - or regimes - that develop depending on the relative dominance of flow, diffusion, and reaction…

Fluid Dynamics · Physics 2023-03-20 Hannah P. Menke , Julien Maes , Sebastian Geiger

We introduce a simple model of heterogeneous catalysis on a disordered surface which consists of two types of randomly distributed sites with different adsorption rates. Disorder can create a reactive steady state in situations where the…

Condensed Matter · Physics 2009-10-28 L. Frachebourg , P. L. Krapivsky , S. Redner

A model for corrosion-induced cracking of reinforced concrete subjected to non-uniform chloride-induced corrosion is presented. The gradual corrosion initiation of the steel surface is investigated by simulating chloride transport…

Computational Engineering, Finance, and Science · Computer Science 2023-12-12 E. Korec , M. Jirasek , H. S. Wong , E. Martínez-Pañeda

A stress-affected chemical reaction front propagation is considered utilizing the concept of a chemical affinity tensor. A reaction between an elastic solid and diffusing constituents, localized at the reaction front, is considered. As a…

Applied Physics · Physics 2024-05-10 Svetlana Petrenko , Alexander Freidin , Eric Charkaluk

Helium diffusion in metals is the basic requirement of nucleation and growth of bubble, which gives rise to adverse degradation effects on mechanical properties of structural materials in reactors under irradiation. Lattice based Kinetic…

Materials Science · Physics 2019-01-23 Haohua Wen , Kan Lai , Jianyi Liu , Yifeng Wu , Yue Zheng

When a less viscous Newtonian fluid displaces an aging aqueous clay suspension in a confined space, a rich array of interfacial patterns emerges due to a predominantly viscous instability. In the present work, we controlled the mechanical…

Soft Condensed Matter · Physics 2025-09-09 Vaibhav Raj Singh Parmar , Ranjini Bandyopadhyay

We derive a mixture theory-based mathematical model of the degradation of a poroelastic solid immersed in a fluid bath. The evolution of the solid's mechanical and transport properties are also modeled. The inspiration for the model is the…

Biological Physics · Physics 2019-12-16 Priyanka Patki , Francesco Costanzo

We study theoretically the erosion threshold of a granular bed forced by a viscous fluid. We first introduce a novel model of interacting particles driven on a rough substrate. It predicts a continuous transition at some threshold forcing…

Soft Condensed Matter · Physics 2016-01-20 Le Yan , Antoine Barizien , Matthieu Wyart

We propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat…

Mathematical Physics · Physics 2015-10-28 Tomas Roubicek , Giuseppe Tomassetti

We investigate the chemical dissolution of porous media using a network model in which the system is represented as a series of interconnected pipes with the diameter of each segment increasing in proportion to the local reactant…

Fluid Dynamics · Physics 2015-06-12 Agnieszka Budek , Piotr Szymczak

We develop and validate a new model to study simultaneous erosion and deposition in three-dimensional porous media. We study the changes of the porous structure induced by the deposition and erosion of matter on the solid surface and find…

Fluid Dynamics · Physics 2017-01-25 Robin Jäger , Miller Mendoza , Hans Jürgen Herrmann

A general phenomenological reaction-diffusion model for flow-induced phase transitions in complex fluids is presented. The model consists of an equation of motion for a nonconserved composition variable, coupled to a Newtonian stress…

Soft Condensed Matter · Physics 2009-11-07 J. L. Goveas , P. D. Olmsted

We investigate the scaling properties of the sources of crackling noise in a fully-dynamic numerical model of sedimentary rocks subject to uniaxial compression. The model is initiated by filling a cylindrical container with randomly-sized…

Disordered Systems and Neural Networks · Physics 2014-02-27 F. Kun , I. Varga , S. Lennartz-Sassinek , I. G. Main

This paper proposes a method for studying the early stages of the cavitation development in arbitrary, non-stationary conditions. This method is based on the comparison of the results of calculations in the framework of a theoretical model…

Fluid Dynamics · Physics 2014-04-02 M. N. Shneider , M. Pekker

We study a model for corrosion and passivation of a metallic surface after small damage of its protective layer. The crossover from an initial regime of slow corrosion rate (pit nucleation) to a regime of rapid corrosion (propagation of the…

Statistical Mechanics · Physics 2007-05-23 F. D. A. Aarao Reis , Janusz Stafiej , J. -P. Badiali