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Transformer-based models have achieved remarkable success across a wide range of domains, yet our understanding of their training dynamics remains limited. In this work, we identify a recurrent focus-dilution cycle in attention learning and…

Machine Learning · Computer Science 2026-05-05 Zheng-An Chen , Pengxiao Lin , Zhi-Qin John Xu , Tao Luo

A mesoscopic model for shear plasticity of amorphous materials in two dimensions is introduced, and studied through numerical simulations in order to elucidate the macroscopic (large scale) mechanical behavior. Plastic deformation is…

Soft Condensed Matter · Physics 2012-05-17 Mehdi Talamali , Viljo Petäjä , Damien Vandembroucq , Stéphane Roux

Mechanical shear deformations lead, in some cases, to effects similar to those resulting from ion irradiation. Here we characterize the effects of shear velocity and temperature on amorphous silicon (\aSi) modelled using classical molecular…

Materials Science · Physics 2015-05-19 Ali Kerrache , Normand Mousseau , Laurent J. Lewis

A wide range of disordered materials, from biological to geological assemblies, feature discrete elements undergoing large shape changes. How significant geometrical variations at the microscopic scale affect the response of the assembly,…

Soft Condensed Matter · Physics 2024-12-20 Samuel Poincloux , Kazumasa A. Takeuchi

We examine microstructural and mechanical changes which occur during oscillatory shear flow and reformation after flow cessation of an intermediate volume fraction colloidal gel using rheometry and Brownian Dynamics (BD) simulations. A…

Soft Condensed Matter · Physics 2017-07-11 E. Moghimi , A. R. Jacob , N. Koumakis , G. Petekidis

Understanding the mechanical response and failure of solids is of obvious importance in their use as structural materials. The nature of plastic deformation leading to yielding of amorphous solids has been vigorously pursued in recent…

Soft Condensed Matter · Physics 2021-06-30 Srikanth Sastry

The deformation of an elastic micro-capsule in an infinite shear flow is studied numerically using a spectral method. The shape of the capsule and the hydrodynamic flow field are expanded into smooth basis functions. Analytic expressions…

Soft Condensed Matter · Physics 2008-09-03 S. Kessler , R. Finken , U. Seifert

We demonstrate the rotational memory effect in a multimode fiber. Rotating the incident wavefront around the fiber core axis leads to a rotation of the resulting pattern of the fiber output without significant changes in the resulting…

Optics · Physics 2015-11-13 L. V. Amitonova , A. P. Mosk , P. W. H. Pinkse

In the preceding paper, we developed an athermal shear-transformation-zone (STZ) theory of amorphous plasticity. Here we use this theory in an analysis of numerical simulations of plasticity in amorphous silicon by Demkowicz and Argon (DA).…

Materials Science · Physics 2013-05-29 Eran Bouchbinder , J. S. Langer , Itamar Procaccia

Disordered fibrous matrices, formed by the random assembly of fibers, provide the structural framework for many biological systems and biomaterials. Applied deformation modifies the alignment and stress states of constituent fibers, tuning…

Soft Condensed Matter · Physics 2025-02-10 Mainak Sarkar , Christina Laukaitis , Amy Wagoner Johnson

The Hopfield model describes a neural network that stores memories using all-to-all-coupled spins. Memory patterns are recalled under equilibrium dynamics. Storing too many patterns breaks the associative recall process because frustration…

What characterises a solid is its way to respond to external stresses. Ordered solids, such crystals, display an elastic regime followed by a plastic one, both well understood microscopically in terms of lattice distortion and dislocations.…

Soft Condensed Matter · Physics 2016-12-21 Giulio Biroli , Pierfrancesco Urbani

Dense amorphous materials exhibit both nonlocal flow cooperativity and pronounced history dependence, yet existing continuum models capture only one of these features at a time. Nonlocal rheologies are intrinsically memoryless, while…

Soft Condensed Matter · Physics 2026-02-17 Saghar Zolfaghari , Safa Jamali

We numerically study the dynamic behavior under a symmetric shear flow of selected examples of concentrated phase emulsions with multi-core morphology confined within a microfluidic channel. A variety of new nonequilibrium steady states is…

Soft Condensed Matter · Physics 2020-12-07 A. Tiribocchi , A. Montessori , F. Bonaccorso , M. Lauricella , S. Succi

We present experiments and simulations on cyclically sheared colloidal gels, and probe their behaviour on several different length scales. The shearing induces structural changes in the experimental gel, changing particles' neighborhoods…

Soft Condensed Matter · Physics 2025-06-18 Himangsu Bhaumik , James E. Hallett , Tanniemola B. Liverpool , Robert L. Jack , C. Patrick Royall

We carry out numerical simulations to study the behavior of an athermal mixture of frictionless circular disks and elongated rods in two dimensions, under three different types of global linear deformation at a finite strain rate: (i)…

Soft Condensed Matter · Physics 2020-10-28 Theodore A. Marschall , S. Teitel

Biological processes, from morphogenesis to tumor invasion, spontaneously generate shear stresses inside living tissue. The mechanisms that govern the transmission of mechanical forces in epithelia and the collective response of the tissue…

Soft Condensed Matter · Physics 2022-11-29 Junxiang Huang , James O. Cochran , Suzanne M. Fielding , M. Cristina Marchetti , Dapeng Bi

The plastic deformation of amorphous solids is mediated by localized shear transformations involving small groups of particles rearranging irreversibly in an elastic background. We introduce and compare three different computational methods…

Soft Condensed Matter · Physics 2018-06-20 Alexandre Nicolas , Jörg Rottler

To make progress in understanding the issue of memory loss and history dependence in evolving complex systems, we consider the mixing rate that specifies how fast the future states become independent of the initial condition. We propose a…

Statistical Mechanics · Physics 2024-06-19 Miroslav Kramar , Lenka Kovalcinova , Konstantin Mischaikow , Lou Kondic

This paper deals with flow-induced shape transitions of elastic capsules. The state of the art concerning both theory and experiments is briefly reviewed starting with dynamically induced small deformation of initially spherical capsules…

Soft Condensed Matter · Physics 2011-04-25 Reimar Finken , Steffen Kessler , Udo Seifert