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The critical behaviour of a Random Fiber Bundle Model with mixed uniform distribution of threshold strengths and global load sharing rule is studied with a special emphasis on the nature of distribution of avalanches for different…

Statistical Mechanics · Physics 2009-11-11 Uma Divakaran , Amit Dutta

In recent years there has been renewed interest in the behavior of dislocations in crystals that exhibit strong atomic scale disorder, as typical of compositionally complex single phase alloys. The behavior of dislocations in such crystals…

Materials Science · Physics 2021-10-26 Aviral Vaid , De'an Wei , Erik Bitzek , Samaneh Nasiri , Michael Zaiser

With an ongoing discussion on the oxygen diffusion along crystal defects remaining, it is difficult to study this phenomenon in Al containing intermetallic materials due to its rapid and passivating oxide formation. We report here the…

Linear complexions are stable defect states, where the stress field associated with a dislocation induces a local phase transformation that remains restricted to nanoscale dimensions. As these complexions are born at the defects which…

Materials Science · Physics 2023-10-12 Divya Singh , Daniel S. Gianola , Timothy J. Rupert

In this thesis I discuss analytical approaches to disordered systems using field theory. Disordered systems are characterized by a random energy landscape due to heterogeneities, which remains fixed on the time scales of the phenomena…

Disordered Systems and Neural Networks · Physics 2013-12-30 Alexander Dobrinevski

We present a mesoscale elastoplastic model of creep in disordered materials which considers temperature-dependent stochastic activation of localized deformation events which are mutually coupled by internal stresses, leading to collective…

Materials Science · Physics 2018-09-26 David Fernandez Castellanos , Michael Zaiser

Strain rate sensitivity is a key feature of material deformation, whose importance is growing both because miniaturized components experience higher effective rates and because small scale simulations increasingly probe such conditions. As…

Materials Science · Physics 2026-01-01 M. Aissaoui , C. Kahloun , O. U. Salman , S. Queyreau

The speed-stress relation for gliding edge dislocations was experimentally measured for the first time. The experimental system used, a two-dimensional plasma crystal, allowed observation of individual dislocations at the "atomistic" level…

Soft Condensed Matter · Physics 2015-05-28 V. Nosenko , G. E. Morfill , P. Rosakis

Understanding how a flow turns into an amorphous solid is a fundamental challenge in statistical physics, during which no apparent structural ordering appears. In the athermal limit, the two states are connected by a well-defined jamming…

Soft Condensed Matter · Physics 2025-05-01 Yang Fu , Yuliang Jin , Deng Pan , Itamar Procaccia

Under plastic flow, multi-element high/medium-entropy alloys (HEAs/MEAs) commonly exhibit complex intermittent and collective dislocation dynamics owing to inherent lattice distortion and atomic-level chemical complexities. Using atomistic…

Materials Science · Physics 2023-10-09 Kamran Karimi , Amin Esfandiarpour , Stefanos Papanikolaou

A new class of matching condition between the atomistic and continuum regions is presented for the multi-scale modeling of crystals. They ensure the accurate passage of large scale information between the atomistic and continuum regions and…

Materials Science · Physics 2009-11-07 Weinan E , Zhongyi Huang

Predicting the future behaviour of complex systems exhibiting critical-like dynamics is often considered to be an intrinsically hard task. Here, we study the predictability of the depinning dynamics of elastic interfaces in random media…

Statistical Mechanics · Physics 2026-02-03 Valtteri Haavisto , Marcin Mińkowski , Lasse Laurson

We develop a continuum description of partially fluidized granular flows. Our theory is based on the hydrodynamic equation for the flow coupled with the order parameter equation which describes the transition between flowing and static…

Soft Condensed Matter · Physics 2016-08-31 Igor S. Aranson , Lev S. Tsimring

Avalanche dynamics is found in many phenomena spanning from earthquakes to the evolution of species. It can be also found in vortex matter when a type II superconductor is externally driven, for example, by increasing the magnetic field.…

Superconductivity · Physics 2009-11-10 E. Altshuler , T. H. Johansen

We present the experimental and numerical studies of a 2D sheared amorphous material constituted of bidisperse photo-elastic disks. We analyze the statistics of avalanches during shear including the local and global fluctuations in energy…

Soft Condensed Matter · Physics 2017-11-15 Jonathan Barés , Dengming Wang , Dong Wang , Thibault Bertrand , Corey S. O'Hern , Robert P. Behringer

The kinetics of dislocation reactions, such as dislocation multiplication, controls the plastic deformation in crystals beyond their elastic limit, therefore critical mechanisms in a number of applications in materials science. We present a…

Materials Science · Physics 2024-12-31 Soumendu Bagchi , Danny Perez

Most of crystalline materials exhibit a hysteresis on their deformation curve when mechanically loaded in alternating directions. This Bauschinger effect is the signature of mechanisms existing at the atomic scale and controlling the…

Materials Science · Physics 2021-01-01 Sylvain Queyreau , Benoit Devincre

We introduce a simple model for the size distribution of avalanches based on the idea that the front of an avalanche can be described by a directed random walk. The model captures some of the qualitative features of earthquakes, avalanches…

Condensed Matter · Physics 2007-05-23 T. Jonsson , J. F. Wheater

Diffusion of electrons in two-dimensional disordered systems with spin-orbit interactions is investigated numerically. Asymptotic behaviors of the second moment of the wave packet and of the temporal auto-correlation function are examined.…

Condensed Matter · Physics 2009-10-28 Tohru Kawarabayashi , Tomi Ohtsuki

We study a model of ``organized'' criticality, where a single avalanche propagates through an \textit{a priori} static (i.e., organized) sandpile configuration. The latter is chosen according to an i.i.d. distribution from a Borel…

Probability · Mathematics 2007-05-23 Marek Biskup , Philippe Blanchard , Lincoln Chayes , Daniel Gandolfo , Tyll Krueger