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A phase-field approach describing the dynamics of a strained solid in contact with its melt is developed. By rigorous asymptotic analysis we show that the sharp-interface limit of this model recovers the continuum model equations for the…

Statistical Mechanics · Physics 2007-05-23 Klaus Kassner , Chaouqi Misbah , Judith Mueller , Jens Kappey , Peter Kohlert

We determine the phase diagrams of conservative diffusive contact processes by means of numerical simulations. These models are versions of the ordinary diffusive single-creation, pair-creation and triplet-creation contact processes in…

Statistical Mechanics · Physics 2009-11-13 Carlos E. Fiore , Mário J. de Oliveira

A phase field (PF) based electrochemical model is presented for simulation of galvanic corrosion. Distributions of electrolyte potential and current density on anode and cathode surfaces are obtained by coupling the phase field variable…

Materials Science · Physics 2018-04-24 Anahita Imanian , Mehdi Amiri

A phase-field model is developed to simulate intergranular corrosion of ferritic/martensitic steels exposed to liquid lithium. The chromium concentration of the material is used to track the mass transport within the metal and liquid…

Chemical Physics · Physics 2025-06-04 A. Lhoest , S. Kovacevic , D. Nguyen-Manh , J. Lim , E. Martínez-Pañeda , M. Wenman

The dynamics of the release of stored energy during annealing along two different crystallographic planes i.e.{111} and {220} in deformed copper have been investigated using in-situ X-ray diffraction measurements at 458K and 473K…

Materials Science · Physics 2016-10-12 S. Dey , N. Gayathri , M. Bhattacharya , P. Mukherjee

Experimental results on hadronic soft and hard diffractive processes are reviewed with emphasis on aspects of the data that point to the underlying QCD mechanism for diffraction. Diffractive differential cross sections are shown to be…

High Energy Physics - Phenomenology · Physics 2009-09-29 Konstantin Goulianos

The scaling invariance for chaotic orbits near a transition from unlimited to limited diffusion in a dissipative standard mapping is explained via the analytical solution of the diffusion equation. It gives the probability of observing a…

Chaotic Dynamics · Physics 2020-12-02 Edson D. Leonel , Celia Mayumi Kuwana , Makoto Yoshida , Juliano Antonio de Oliveira

I show that the quantum critical points observed in heavy fermions (the `Kondo breakdown') and in doped cuprates can be understood in terms of concealed Mott criticality. In this picture, one species of electrons undergoes a Mott…

Strongly Correlated Electrons · Physics 2025-10-03 Louk Rademaker

Recently it has been shown that the transition of the 1+1-dimensional annihilation-fission process 2X->3X, 2X->0 exhibits an unusual type of nonequilibrium critical behavior. The phenomenological properties of critical clusters are…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen

Corrosion in concrete prevents in-situ observation, necessitating models to provide insight into the local reaction currents. We present a computational method for predicting corrosion rates of reinforcements within concrete under natural…

Chemical Physics · Physics 2025-04-15 T. Hageman , C. Andrade , E. Martínez-Pañeda

The dynamics of a coupled two-component nonequilibrium system is examined by means of continuum field theory representing the corresponding master equation. Particles of species A may perform hopping processes only when particles of…

Statistical Mechanics · Physics 2009-10-31 S. Trimper , U. C. Taeuber , G. M. Schuetz

Radiation creep and swelling are irreversible deformation phenomena occurring in materials irradiated even at low temperatures. On the microscopic scale, energetic particles initiate collision cascades, generating and eliminating defects…

Materials Science · Physics 2024-09-23 Luca Reali , Max Boleininger , Daniel R. Mason , Sergei L. Dudarev

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 investigate a specific reaction-diffusion system that admits a monostable pulled front propagating at constant critical speed. When a small parameter changes sign, the stable equilibrium behind the front destabilizes, due to essential…

Analysis of PDEs · Mathematics 2021-10-07 Louis Garénaux

We develop an analytical diffusion-equation-type approximation scheme for the one-dimensional coagulation reaction A+A->A with partial reaction probability on particle encounters which are otherwise hard-core. The new approximation…

Condensed Matter · Physics 2010-10-12 V. Privman , C. R. Doering , H. L. Frisch

A partial monolayer of ~ 20000 uniform spherical steel beads, vibrated vertically on a flat plate, shows remarkable ordering transitions and cooperative behavior just below 1g maximum acceleration. We study the stability of a quiescent…

Soft Condensed Matter · Physics 2009-10-31 W. Losert , D. G. W. Cooper , J. P. Gollub

We discuss, at the mean-field level, the asymptotic shape of the reaction fronts in the general nA+mB->C reaction-diffusion processes with initially separated reactants, thus generalizing to arbitrary reaction-order kinetics the work done…

Soft Condensed Matter · Physics 2009-10-31 Jerome Magnin

We study scrambling, an avatar of chaos, in a weakly interacting metal in the presence of random potential disorder. It is well known that charge and heat spread via diffusion in such an interacting disordered metal. In contrast, we show…

Strongly Correlated Electrons · Physics 2017-09-15 Aavishkar A. Patel , Debanjan Chowdhury , Subir Sachdev , Brian Swingle

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

We study here the random diffusion model. This is a continuum model for a conserved scalar density field $\phi$ driven by diffusive dynamics. The interesting feature of the dynamics is that the {\it bare} diffusion coefficient $D$ is…

Soft Condensed Matter · Physics 2009-11-13 Gene F. Mazenko
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