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In this article, we review different studies based on advanced x-ray diffraction techniques - especially coherent x-ray diffraction - that allowed us to reveal the behaviour of such symmetry-breaking systems as Charge Density Wave (CDW) and…

Strongly Correlated Electrons · Physics 2023-07-26 David Le Bolloc'h , E. Bellec , N. Kirova , V. L. R. Jacques

We study the statistical properties of the yielding transition in model amorphous solids in the limit of slow, athermal deformation. Plastic flow occurs via alternating phases of elastic loading punctuated by rapid dissipative events in the…

Soft Condensed Matter · Physics 2021-05-04 Céline Ruscher , Jörg Rottler

Crystal plasticity occurs by deformation bursts due to the avalanche-like motion of dislocations. Here we perform extensive numerical simulations of a three-dimensional dislocation dynamics model under quasistatic stress-controlled loading.…

Statistical Mechanics · Physics 2016-08-24 Arttu Lehtinen , Giulio Costantini , Mikko J. Alava , Stefano Zapperi , Lasse Laurson

Numerous systems ranging from deformation of materials to earthquakes exhibit bursty dynamics, which consist of a sequence of events with a broad event size distribution. Very often these events are observed to be temporally correlated or…

Statistical Mechanics · Physics 2016-12-05 Sanja Janićević , Lasse Laurson , Knut Jørgen Måløy , Stéphane Santucci , Mikko J. Alava

We investigate thermal avalanche dynamics in amorphous solids using elastoplastic models with local activation rules and no external driving. Dynamical heterogeneities, quantified through persistence measurements and the associated…

Disordered Systems and Neural Networks · Physics 2026-02-26 Gieberth Rodriguez-Lopez , Ezequiel E. Ferrero

We perform large scale simulations of a two dimensional lattice model for amorphous plasticity with random local yield stresses and long-range quadrupolar elastic interactions. We show that as the external stress increases towards the…

Soft Condensed Matter · Physics 2013-12-12 Zoe Budrikis , Stefano Zapperi

A charge density wave (CDW) is one of the fundamental instabilities of the Fermi surface occurring in a wide range of quantum materials. In dimensions higher than one, where Fermi surface nesting can play only a limited role, the selection…

The interplay between charge density waves (CDWs) and superconductivity is a central theme in quantum materials, yet how CDW phase textures govern vortex topology remains poorly understood. We develop a theoretical framework showing that…

Superconductivity · Physics 2026-04-20 Zhenhua Zhu , Ziqiang Wang , Dong E. Liu

We report on numerically exact determinantal quantum Monte Carlo simulations of the onset of spin-density wave (SDW) order in itinerant electron systems captured by a sign-problem-free two-dimensional lattice model. Extensive measurements…

Strongly Correlated Electrons · Physics 2017-01-18 Max H. Gerlach , Yoni Schattner , Erez Berg , Simon Trebst

We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs.…

Statistical Mechanics · Physics 2007-05-23 Purusattam Ray

Charge density waves (CDW) are modulations of the electron density and the atomic lattice that develop in some crystalline materials at low temperature. We report an unusual example of a CDW in BaFe$_2$Al$_9$ below 100 K. In contrast to the…

A charge density wave (CDW) is a phase of matter characterized by a periodic modulation of the valence electron density accompanied by a distortion of the lattice structure. The microscopic details of CDW formation are closely tied to the…

In most of charge density wave (CDW) systems of different material classes, ranging from traditional correlated systems in low-dimension to recent topological systems with Kagome lattice, superconductivity emerges when the system is driven…

Disordered elastic interfaces display avalanche dynamics at the depinning transition. For short-range interactions, avalanches correspond to compact reorganizations of the interface well described by the depinning theory. For long-range…

Statistical Mechanics · Physics 2021-01-20 Clément Le Priol , Pierre Le Doussal , Alberto Rosso

Charge density waves (CDWs), electronic crystals that form within a host solid, have long been speculated to melt into a spatially textured electronic liquid. Though they have not been previously detected, liquid CDWs may nonetheless be…

Strongly Correlated Electrons · Physics 2025-05-09 Joshua S. H. Lee , Thomas M. Sutter , Goran Karapetrov , Pietro Musumeci , Anshul Kogar

Close to the yielding transition, amorphous solids exhibit a jerky dynamics characterized by plastic avalanches. The statistics of these avalanches have been measured experimentally and numerically using a variety of different triggering…

Soft Condensed Matter · Physics 2026-01-08 Tristan Jocteur , Eric Bertin , Romain Mari , Kirsten Martens

We review limiting models for fracture in bundles of fibers, with statistically distributed thresholds for breakdown of individual fibers. During the breakdown process, avalanches consisting of simultaneous rupture of several fibers occur,…

Statistical Mechanics · Physics 2009-10-30 M. Kloster , A. Hansen , P. C. Hemmer

We consider the particle current in the asymmetric avalanche process on a ring. It is known to exhibit a transition from the intermittent to continuous flow at the critical density of particles. The exact expressions for the first two…

Mathematical Physics · Physics 2022-01-05 Anastasiia A. Trofimova , Alexander M. Povolotsky

The boundary condition dependence of the critical behavior for the three dimensional Anderson transition is investigated. A strong dependence of the scaling function and the critical conductance distribution on the boundary conditions is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Keith Slevin , Tomi Ohtsuki , Tohru Kawarabayashi

The transition from elastic to plastic deformation in crystalline metals shares history dependence and scale-invariant avalanche signature with other non-equilibrium systems under external loading: dilute colloidal suspensions,…

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