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The Kosterlitz-Thouless and the Hexatic phase transitions are celebrated examples of dipole (vortex, dislocation) induced transitions in condensed matter physics. For very clear reasons, these important ``topological" transitions are…

Statistical Mechanics · Physics 2025-07-16 Itamar Procaccia , Tuhin Samanta

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

Disordered Systems and Neural Networks · Physics 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

We perform extensive simulations of a 2D LJ glass subjected to quasi-static shear deformation at T=0. We analyze the distribution of non-affine displacements in terms of contributions of plastic, irreversible events, and elastic, reversible…

Statistical Mechanics · Physics 2016-03-28 Anaël Lemaître , Christiane Caroli

Anelasticity, as an intrinsic property of amorphous solids, plays a significant role in understanding their relaxation and deformation mechanism. However, due to the lack of long-range order in amorphous solids, the structural origin of…

Disordered Systems and Neural Networks · Physics 2023-09-11 Baoshuang Shang

We investigate the effect of annealed disorder on the mechanical properties and plasticity of a modeled amorphous solid by introducing a small fraction of heavy impurities into the material which resembles real experimental systems. The…

Soft Condensed Matter · Physics 2024-06-19 Meenakshi L. , Bhaskar Sen Gupta

Mechanical deformation of amorphous solids can be described as consisting of an elastic part in which the stress increases linearly with strain, up to a yield point at which the solid either fractures or starts deforming plastically. It is…

Disordered Systems and Neural Networks · Physics 2020-03-25 Baoshuang Shang , Pengfei Guan , Jean-Louis Barrat

The mechanical response of naturally abundant amorphous solids such as gels, jammed grains, and biological tissues are not described by the conventional paradigm of broken symmetry that defines crystalline elasticity. In contrast, the…

Disordered Systems and Neural Networks · Physics 2020-09-29 Jishnu N. Nampoothiri , Yinqiao Wang , Kabir Ramola , Jie Zhang , Subhro Bhattacharjee , Bulbul Chakraborty

We present results on a series of 2D atomistic computer simulations of amorphous systems subjected to simple shear in the athermal, quasistatic limit. The athermal quasistatic trajectories are shown to separate into smooth, reversible…

Soft Condensed Matter · Physics 2016-08-16 Craig E. Maloney , Anaël Lemaître

We have studied the statistics of plastic rearrangement events in a simulated amorphous solid at T=0. Events are characterized by the energy release and the ``slip volume'', the product of plastic strain and system volume. Their…

Materials Science · Physics 2016-08-17 N. P. Bailey , J Schiøz , A. Lemaître , K. W. Jacobsen

We address the cross effects between mechanical strains and magnetic fields on the plastic response of magnetoelastic amorphous solids. It is well known that plasticity in non-magnetic amorphous solids under external strain $\gamma$ is…

Statistical Mechanics · Physics 2015-06-04 H. G. E. Hentschel , Valery Ilyin , Itamar Procaccia

Structural heterogeneity of amorphous solids present difficult challenges that stymie the prediction of plastic events, which are intimately connected to their mechanical behavior. Based on a perturbation analysis of the potential energy…

Materials Science · Physics 2021-03-03 Bin Xu , Michael L. Falk , Sylvain Patinet , Pengfei Guan

Amorphous solids lack long-range order. Therefore identifying structural defects -- akin to dislocations in crystalline solids -- that carry plastic flow in these systems remains a daunting challenge. By comparing many different structural…

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

Disordered granular matter exhibits mechanical responses that occupy the boundary between fluids and solids, lacking a complete description within a continuum theoretical framework. Recent studies have shown that, in the quasi-static limit,…

Soft Condensed Matter · Physics 2024-08-26 Noemie S. Livne , Tuhin Samanta , Amit Schiller , Itamar Procaccia , Michael Moshe

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

The microscopic mechanism by which amorphous solids yield plastically under an externally applied stress or deformation has remained elusive in spite of enormous research activity in recent years. Most approaches have attempted to identify…

Soft Condensed Matter · Physics 2021-07-07 Matteo Baggioli , Ivan Kriuchevskyi , Timothy W. Sirk , Alessio Zaccone

A variety of two-dimensional materials possess a band structure with an energy extremal ridge along a ring in momentum space. Examples are biased bilayer graphene, and surfaces and interfaces with a Rashba spin-orbit interaction where at…

Mesoscale and Nanoscale Physics · Physics 2017-01-02 Eugene B. Kolomeisky , Joseph P. Straley

We demonstrate that plastic deformation in solids is associated with a dynamic transition that is reminiscent to the transition from a superconducting to a mixed phase in Type II superconductors. We report analytic calculations, extensive…

Soft Condensed Matter · Physics 2016-12-06 Saswati Ganguly , Juergen Horbach , Peter Sollich , Smarajit Karmakar , Surajit Sengupta

Plasticity in soft amorphous materials typically involves collective deformation patterns that emerge upon intense shearing. The microscopic basis of amorphous plasticity has been commonly established through the notion of "Eshelby"-type…

Soft Condensed Matter · Physics 2019-07-31 Kamran Karimi , David Amitrano , Jerome Weiss

We study the elastic theory of amorphous solids made of particles with finite range interactions in the thermodynamic limit. For the elastic theory to exist one requires all the elastic coefficients, linear and nonlinear, to attain a finite…

Statistical Mechanics · Physics 2015-05-20 H. G. E. Hentschel , Smarajit Karmakar , Edan Lerner , Itamar Procaccia