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We develop a simple computational model for cell boundary evolution in plastic deformation. We study the cell boundary size distribution and cell boundary misorientation distribution that experimentally have been found to have scaling forms…

Materials Science · Physics 2013-05-29 James P. Sethna , Valerie R. Coffman , Eugene Demler

Many glass-forming fluids exhibit a remarkable thermodynamic scaling in which dynamic properties, such as the viscosity, the relaxation time, and the diffusion constant, can be described under different thermodynamic conditions in terms of…

Soft Condensed Matter · Physics 2015-06-16 Wen-Sheng Xu , Karl F. Freed

A one-dimensional diagonal tight binding electronic system with correlated disorder is investigated. The correlation of the random potential is exponentially decaying with distance and its correlation length diverges as the concentration of…

Disordered Systems and Neural Networks · Physics 2009-11-11 I Avgin

The phase diagram of soft spheres with size dispersion has been studied by means of an optimized Monte Carlo algorithm which allows to equilibrate below the kinetic glass transition for all sizes distribution. The system ubiquitously…

Soft Condensed Matter · Physics 2007-05-23 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

We investigate the phase diagram of a fluid of hard-core disks confined to the surface of a sphere and whose interaction potential contains a short-range attraction followed by a long-range repulsive tail (SALR). Based on previous works in…

Soft Condensed Matter · Physics 2021-11-24 Stefano Franzini , Luciano Reatto , Davide Pini

Design and characterisation of capsules is not an easy task owing to the multiple involved preparation factors and parameters. Here, a novel method to characterise capsule membrane permeability to solute molecules by an inverse approach is…

Medical Physics · Physics 2021-11-03 Clément Bielinski , Badr Kaoui

We consider two-dimensional Fermi liquids in the vicinity of a quantum transition to a phase with commensurate, antiferromagnetic long-range order. Depending upon the Fermi surface topology, mean-field spin-density-wave theory predicts two…

Condensed Matter · Physics 2009-10-22 Subir Sachdev , Andrey V. Chubukov , Alexander Sokol

In this article, we propose a novel scalar-transport model for the simulation of scalar quantities in two-phase flows with a phase-field method (diffuse-interface method). In a two-phase flow, the scalar quantities typically have disparate…

Fluid Dynamics · Physics 2020-11-24 Suhas S. Jain , Ali Mani

Flows enabled by phoretic mechanisms are of significant interest in several biological and biomedical processes, such as bacterial motion and targeted drug delivery. Here, we develop a homogenization-based macroscopic boundary condition…

In \cite{fgn1}, the hydrodynamic limit in the diffusive scaling of the symmetric simple exclusion process with a finite number of slow bonds of strength $n^{-\beta}$ has been studied. Here $n$ is the scaling parameter and $\beta>0$ is…

Probability · Mathematics 2024-12-06 Dirk Erhard , Tertuliano Franco , Tiecheng Xu

Over times shorter than that required for relaxation of enthalpy, a liquid can exhibit striking heterogeneities. The picture of these heterogeneities is complex with transient patches of rigidity, irregular yet persistent, intersected by…

Soft Condensed Matter · Physics 2010-09-30 Peter Harrowell

The dispersion of a passive scalar in a fluid through the combined action of advection and molecular diffusion is often described as a diffusive process, with an effective diffusivity that is enhanced compared to the molecular value.…

Fluid Dynamics · Physics 2015-06-18 P. H. Haynes , J. Vanneste

We carried out three-dimensional simulations, with about 1.4 million particles, of phase segregation in a low density binary fluid mixture, described mesoscopically by energy and momentum conserving Boltzmann-Vlasov equations. Using a…

patt-sol · Physics 2008-02-03 S. Bastea , J. L. Lebowitz

We examine the long time behaviour of A+B->0 reaction diffusion systems with initially segregated species A and B. All of our analysis is carried out for arbitrary (positive) values of the diffusion constants $D_A$, $D_B$, and initial…

Condensed Matter · Physics 2009-10-28 Zbigniew Koza

A pore-scale model is introduced for two-phase flow in dense packings of polydisperse spheres. The model is developed as a component of a more general hydromechanical coupling framework based on the discrete element method, which will be…

Soft Condensed Matter · Physics 2016-01-06 Chao Yuan , Bruno Chareyre , Félix Darve

Aqueous foams and a wide range of related systems are believed to coarsen by gas diffusion between neighboring domains into a statistically self-similar scaling state, after the decay of initial transients, such that dimensionless size and…

Soft Condensed Matter · Physics 2023-09-19 Anthony T. Chieco , Douglas J. Durian

The anomalous exponents governing the long wavelength behavior of the flat phase of physical crystalline membranes are calculated within a self-consistent screening approximation (SCSA) applied to second order expansion in 1/d_C (d_C is the…

Statistical Mechanics · Physics 2010-01-07 Doron Gazit

We identify and analyze a surprising phenomenon of Latent Diffusion Models (LDMs) where the final steps of the diffusion can degrade sample quality. In contrast to conventional arguments that justify early stopping for numerical stability,…

Machine Learning · Statistics 2026-03-03 Yu-Han Wu , Quentin Berthet , Gérard Biau , Claire Boyer , Romuald Elie , Pierre Marion

We investigate the spreading of passive tracers in closed basins. If the characteristic length scale of the Eulerian velocities is not very small compared with the size of the basin the usual diffusion coefficient does not give any relevant…

chao-dyn · Physics 2009-10-30 V. Artale , G. Boffetta , A. Celani , M. Cencini , A. Vulpiani

The principle of dynamic equivalence between soft-sphere and hard-sphere fluids [Phys. Rev. E \textbf{68}, 011405 (2003)] is employed to describe the interplay of the effects of varying the density n, the temperature T, and the softness…