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We demonstrate, through 3-dimensional discrete dislocation dynamics simulations, that the com- plex dynamical response of nano and micro crystals to external constraints can be tuned. Under load rate control, strain bursts are shown to…

Materials Science · Physics 2016-11-03 Yinan Cui , Giacomo Po , Nasr Ghoniem

Amorphous solids are yield stress materials that flow when a sufficient load is applied. Their flow consists of periods of elastic loading interrupted by rapid stress drops, or avalanches, coming from microscopic rearrangements known as…

Disordered Systems and Neural Networks · Physics 2021-09-08 Daniel Korchinski , Céline Ruscher , Jörg Rottler

We numerically investigate the topological phase transition induced purely by disorder in a spring-mass chain. We employ two types of disorders - chiral and random types - to explore the interplay between topology and disorder. By tracking…

We introduce a model of fracture which includes the out-of-plane degrees of freedom necessary to describe buckling in a thin-sheet material. The model is a regular square lattice of elastic beams, rigidly connected at the nodes so as to…

Soft Condensed Matter · Physics 2007-05-23 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

We investigate the role of disorder on the fracturing process of heterogeneous materials by means of a two-dimensional fuse network model. Our results in the extreme disorder limit reveal that the backbone of the fracture at collapse,…

Disordered Systems and Neural Networks · Physics 2014-10-01 A. A. Moreira , C. L. N. Oliveira , A. Hansen , N. A. M. Araujo , H. J. Herrmann , J. S. Andrade

One of the major factors governing the mode of failure in disordered solids is the effective range $R$, over which the stress field is modified following a local rupture event. In random fiber bundle model, considered as a prototype of…

Statistical Mechanics · Physics 2015-05-29 Soumyajyoti Biswas , Subhadeep Roy , Purusattam Ray

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

The strain load $\Delta\gamma$ that triggers consecutive avalanches is a key observable in the slow deformation of amorphous solids. Its temporally averaged value $\langle \Delta\gamma \rangle$ displays a non-trivial system-size dependence…

Disordered Systems and Neural Networks · Physics 2021-01-15 Ezequiel E. Ferrero , Eduardo A. Jagla

Acoustic emission (AE) activity data resulting from the fracture processes of brittle materials is valuable real time information regarding the evolving state of damage in the material. Here, through a combined experimental and…

Statistical Mechanics · Physics 2023-12-29 Subrat Senapati , Anuradha Banerjee , R. Rajesh

We study the effect of the competition between disorder and stress enhancement in fracture processes using the local load sharing fiber bundle model, a model that hovers on the border between analytical tractability and numerical…

Disordered Systems and Neural Networks · Physics 2020-10-28 Santanu Sinha , Subhadeep Roy , Alex Hansen

At low temperature T, a significant difference between the behavior of crystals on the one hand and disordered solids on the other is seen: sufficiently strong disorder can give rise to a transition of the transport properties from…

Disordered Systems and Neural Networks · Physics 2018-03-21 Rudolf A Roemer , Michael Schreiber

We introduce a toy model displaying the avalanche dynamics of failure in scale-free networks. In the model, the network growth is based on the Barab\'asi and Albert model and each node is assigned a capacity or tolerance, which is constant…

Statistical Mechanics · Physics 2007-05-23 K. Rho , S. R. Hong , B. Kahng

We study the interaction among dispersion, nonlinearity, and disorder effects in the context of wave transmission through a discrete periodic structure, subjected to continuous harmonic excitation in its stop band. We consider a damped…

Pattern Formation and Solitons · Physics 2025-10-20 Behrooz Yousefzadeh , A. Srikantha Phani

Recent experiments aimed at probing the dynamics of excitons have revealed that semiconducting films composed of disordered molecular subunits, unlike expectations for their perfectly ordered counterparts, can exhibit a time-dependent…

Chemical Physics · Physics 2015-03-02 Elizabeth M. Y. Lee , William A. Tisdale , Adam P. Willard

We study, using Monte Carlo simulations, the steady state properties of a system of particles interacting via hard core exclusion and moving in a discrete flashing disordered ratchet potential. Quenched disorder is introduced by breaking…

Statistical Mechanics · Physics 2015-10-28 Jim Chacko , Goutam Tripathy

We present a unified theory of fracture in disordered brittle media that reconciles apparently conflicting results reported in the literature. Our renormalization group based approach yields a phase diagram in which the percolation fixed…

Statistical Mechanics · Physics 2013-05-09 Ashivni Shekhawat , Stefano Zapperi , James P. Sethna

Using the resonant-state expansion for leaky optical modes of a planar Bragg microcavity, we investigate the influence of disorder on its fundamental cavity mode. We model the disorder by randomly varying the thickness of the Bragg-pair…

Disordered Systems and Neural Networks · Physics 2021-01-22 S. G. Tikhodeev , E. A. Muljarov , W. Langbein , N. A. Gippius , H. Giessen , T. Weiss

We study the approach to global breakdown in disordered media driven by increasing external forces. We first analyze the problem by mean-field theory, showing that the failure process can be described as a first-order phase transition,…

Statistical Mechanics · Physics 2009-10-28 Stefano Zapperi , Purusattam Ray , H. Eugene Stanley , Alessandro Vespignani

Tracking tracer particles in heterogeneous environments plays an important role in unraveling the material properties. These heterogeneous structures are often static and depend on the sample realizations. Sample-to-sample fluctuations of…

Statistical Mechanics · Physics 2019-01-04 Takuma Akimoto , Eli Barkai , Keiji Saito

We study the appearance and evolution of an array of parallel cracks in a thin slab of material that is directionally dried, and show that the cracks penetrate the material uniformly if the drying front is sufficiently sharp. We also show…

Materials Science · Physics 2009-11-07 E. A. Jagla