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Related papers: Non-equilibrium thermodynamics in sheared hard-sph…

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We discuss a Statistical Mechanics approach in the manner of Edwards to the ``inherent states'' (defined as the stable configurations in the potential energy landscape) of glassy systems and granular materials. We show that at stationarity…

Statistical Mechanics · Physics 2009-11-07 Annalisa Fierro , Mario Nicodemi , Antonio Coniglio

We develop a microscopic theory to analyze the phase behaviour and compute correlation functions of dense assemblies of soft repulsive particles both at finite temperature, as in colloidal materials, and at vanishing temperature, a…

Disordered Systems and Neural Networks · Physics 2011-11-09 Ludovic Berthier , Hugo Jacquin , Francesco Zamponi

Glass transition is accompanied by a rapid growth of the structural relaxation time and a concomitant decrease of configurational entropy. It remains unclear whether the transition has a thermodynamic origin, and whether the dynamic arrest…

Soft Condensed Matter · Physics 2015-10-28 Chengjie Xia , Jindong Li , Yixin Cao , Binquan Kou , Xinaghui Xiao , Kamel Fezzaa , Tiqiao Xiao , Yujie Wang

The aim of this paper is to offer an analytic theory of the shear banding instability in amorphous solids that are subjected to athermal quasi-static shear. To this aim we derive nonlinear equations for the displacement field, including the…

Statistical Mechanics · Physics 2026-05-12 Avanish Kumar , Itamar Procaccia

It is known by now that amorphous solids at zero temperature do not possess a nonlinear elasticity theory: besides the shear modulus which exists, all the higher order coefficients do not exist in the thermodynamic limit. Here we show that…

Soft Condensed Matter · Physics 2016-06-15 Itamar Procaccia , Corrado Rainone , Carmel Shor , Murari Singh

The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of control parameter, like temperature or pressure. A similar…

Statistical Mechanics · Physics 2013-05-06 Ludovic Berthier , Jorge Kurchan

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

Using a dynamical density functional theory we analyze the density profile of a colloidal liquid near a wall under shear flow. Due to the symmetries of the system considered, the naive application of dynamical density functional theory does…

Soft Condensed Matter · Physics 2015-05-20 J. M. Brader , M. Krüger

Shear banding and stick-slip instabilities have been long observed in sheared granular materials. Yet, their microscopic underpinnings, interdependencies and variability under different loading conditions have not been fully explored. Here,…

Geophysics · Physics 2017-02-08 Konik R. Kothari , Ahmed Elbanna

We study the effect of periodic, spatially uniform temperature variation on mechanical properties and structural relaxation of amorphous alloys using molecular dynamics simulations. The disordered material is modeled via a non-additive…

Soft Condensed Matter · Physics 2019-02-04 Qing-Long Liu , Nikolai V. Priezjev

We study numerically the critical behavior and marginal stability of the shear jamming transition for frictionless soft spheres, observed to occur over a finite range of densities, associated with isotropic jamming for densities above the…

Soft Condensed Matter · Physics 2022-04-27 Varghese Babu , Srikanth Sastry

Accurate descriptions of reference systems are a central task in liquid-state theories for the study of more complex systems. Using scaled particle theory (SPT), we derive a fully analytical description of the thermodynamic properties of a…

Soft Condensed Matter · Physics 2026-03-31 T. Hvozd , M. Hvozd , M. Holovko

The ubiquitous appearance of regions of localized deformation (shear bands) in different kinds of disordered materials under shear is studied in the context of a mesoscopic model of plasticity. The model may or may not include relaxational…

Soft Condensed Matter · Physics 2015-05-19 E. A. Jagla

Inhomogeneous flows and shear banding are of interest for a range of applications but have been eluding a comprehensive theoretical understanding, mostly due to the lack of a framework comparable to equilibrium statistical mechanics. Here…

Statistical Mechanics · Physics 2025-05-15 Thomas Speck

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

The glass transition remains one of the great unsolved mysteries of contemporary condensed matter physics. When crystallization is bypassed by rapid cooling, a supercooled liquid, retaining amorphous particle arrangment, results. The…

Materials Science · Physics 2016-10-12 Nicholas B. Weingartner , Zohar Nussinov

Glass transition and random packing in the hard sphere system have attracted great attention due to the important role of the system in the investigation of diverse real systems including liquids, colloidal dispersions, supercooled liquids,…

Statistical Mechanics · Physics 2007-05-23 Hongqin Liu

Motivated by the formal argument that a non-zero shear modulus is the result of averaging over a constrained configurations space, we demonstrate that the shear modulus calculated over a range of temperatures and averaging times can be…

Soft Condensed Matter · Physics 2016-04-06 Shibu Saw , Peter Harrowell

This article sets up a formalism to describe stochastic thermodynamics for driven out-of-equilibrium open quantum systems. A stochastic Schr\"odinger equation allows to construct quantum trajectories describing the dynamics of the system…

Statistical Mechanics · Physics 2016-10-17 Cyril Elouard , Alexia Auffèves , Maxime Clusel

This paper develops a general data-driven approach to stochastic elastoplastic modelling that leverages atomistic simulation data directly rather than by fitting parameters. The approach is developed in the context of metallic glasses,…

Statistical Mechanics · Physics 2024-10-02 Bin Xu , Zhao Wu , Jiayin Lu , Michael D. Shields , Chris H. Rycroft , Franz Bamer , Michael L. Falk
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