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In infinite dimension, many-body systems of pairwise interacting particles provide exact analytical benchmarks for features of amorphous materials, such as the stress-strain curve of glasses under quasistatic shear. Here, instead of a…

Disordered Systems and Neural Networks · Physics 2021-03-16 Elisabeth Agoritsas

The similarity in mechanical properties of dense active matter and sheared amorphous solids has been noted in recent years without a rigorous examination of the underlying mechanism. We develop a mean-field model that predicts that their…

Soft Condensed Matter · Physics 2021-08-03 Peter K. Morse , Sudeshna Roy , Elisabeth Agoritsas , Ethan Stanifer , Eric I. Corwin , M. Lisa Manning

An interface description and numerical simulations of model A kinetics are used for the first time to investigate the intra-surface kinetics of phase ordering on corrugated surfaces. Geometrical dynamical equations are derived for the…

Statistical Mechanics · Physics 2015-06-25 Oliver Schoenborn , Rashmi C. Desai

We investigate the flow properties of a two-dimensional aqueous foam submitted to a quasistatic shear in a Couette geometry. A strong localization of the flow (shear banding) at the edge of the moving wall is evidenced, characterized by an…

Soft Condensed Matter · Physics 2009-11-07 Georges Debregeas , Herve Tabuteau , Jean-Marc di Meglio

This study has numerically investigated the effect of surface wettability on two-phase immiscible flow and dynamics of droplet pinch-off in a T-junction microchannel using finite element method. A conservative level set method (CLSM) has…

Fluid Dynamics · Physics 2022-12-01 Akepogu Venkateshwarlu , Ram Prakash Bharti

Coarsening systems under uniform shear display a long time regime characterized by the presence of highly stretched and thin domains. The question then arises whether thermal fluctuations may actually destroy this layered structure. To…

Statistical Mechanics · Physics 2009-11-07 Alan J. Bray , Andrea Cavagna , Rui D. M. Travasso

Low-dimensional dynamical systems are fruitful models for mixing in fluid and granular flows. We study a one-dimensional discontinuous dynamical system (termed "cutting and shuffling" of a line segment), and we present a comprehensive…

Dynamical Systems · Mathematics 2018-08-24 Mengying Wang , Ivan C. Christov

A long-standing goal of materials science is to understand, predict and control the evolution of microstructures in crystalline materials. Most microstructure evolution is controlled by interface motion; hence, the establishment of rigorous…

Materials Science · Physics 2022-02-14 Jian Han , David J. Srolovitz , Marco Salvalaglio

Critical wetting transitions under nonequilibrium conditions are studied numerically and analytically by means of an interface-displacement model defined by a Kardar-Parisi-Zhang equation, plus some extra terms representing a limiting,…

Statistical Mechanics · Physics 2009-11-13 Elvira Romera , Francisco de los Santos , Omar Al Hammal , Miguel A. Munoz

We do shear-driven simulations of a simple model of non-Brownian particles in two dimensions. By examining the velocity distribution at different densities and shear rates we find strong evidence for the existence of two different…

Soft Condensed Matter · Physics 2023-06-14 Peter Olsson

When a disordered solid is sheared, yielding is followed by the onset of intermittent response that is characterized by slip in local regions usually labeled shear-transformation zones (STZ). Such intermittent response resembles the…

Materials Science · Physics 2016-04-06 Stefanos Papanikolaou

Solids are distinguished from fluids by their ability to resist shear. In traditional solids, the resistance to shear is associated with the emergence of broken translational symmetry as exhibited by a non-uniform density pattern, which…

Soft Condensed Matter · Physics 2017-05-16 Sumantra Sarkar , Dapeng Bi , Jie Zhang , Jie Ren , R. P. Behringer , Bulbul Chakraborty

Extremely small amounts of surface-active contaminants are known to drastically modify the hydrodynamic response of the water-air interface. Surfactant concentrations as low as a few thousand molecules per square micron are sufficient to…

Fluid Dynamics · Physics 2021-09-13 G. Koleski , J. -C. Loudet , A. Vilquin , B. Pouligny , T. Bickel

We introduce applied shear as a method to control viscous fingering by smoothing the interface between miscible fluids. In the viscous fingering instability, a less viscous fluid displaces a more viscous one through the formation of…

Fluid Dynamics · Physics 2025-08-12 Zhaoning Liu , Samar Alqatari , Thomas E. Videbæk , Sidney R. Nagel

Self-organization, and transitions from reversible to irreversible behaviour, of interacting particle assemblies driven by externally imposed stresses or deformation is of interest in comprehending diverse phenomena in soft matter. They…

Soft Condensed Matter · Physics 2022-06-08 Pallabi Das , Vinutha H. A. , Srikanth Sastry

Granular flows during a shear-induced mixing process are studied using Discrete Element Methods. The aim is to understand the underlying elementary mechanisms of transition from unmixed to mixed phases for a granular material featuring a…

We investigate the dynamics of microcapsules in linear shear flow within a reduced model with two degrees of freedom. In previous work for steady shear flow, the dynamic phases of this model, i.e. swinging, tumbling and intermittent…

Soft Condensed Matter · Physics 2009-09-15 Steffen Kessler , Reimar Finken , Udo Seifert

We study the dynamics of the two dimensional Navier-Stokes equations linearized around a shear flow on a (non-square) torus which possesses exactly two non-degenerate critical points. We obtain linear inviscid damping and vorticity…

Analysis of PDEs · Mathematics 2024-04-30 Rajendra Beekie , Shan Chen , Hao Jia

We introduce a new kinetic interface model suitable for simulating adsorption-reaction processes which take place preferentially at surface defects such as steps and vacancies. As the average interface velocity is taken to zero, the self-…

Statistical Mechanics · Physics 2009-10-31 H. Kaya , A. Kabakcioglu , A. Erzan

We give a proof of linear inviscid damping and vorticity depletion for non-monotonic shear flows with one critical point in a bounded periodic channel. In particular, we obtain quantitative depletion rates for the vorticity function without…

Analysis of PDEs · Mathematics 2024-02-01 Alexandru D. Ionescu , Sameer Iyer , Hao Jia