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Related papers: Jamming, relaxation, and memory in a structureless…

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We performed parallel measurements of the high-frequency shear modulus $G$ and relative volume $\Delta V/V$ for high-entropy Ti$_{20}$Zr$_{20}$Hf$_{20}$Be$_{20}$Cu$_{20}$ and Ti$_{20}$Zr$_{20}$Hf$_{20}$Be$_{20}$Ni$_{20}$ glasses upon…

Disordered Systems and Neural Networks · Physics 2024-08-07 R. S. Khmyrov , A. S. Makarov , J. C. Qiao , N. P. Kobelev , V. A. Khonik

The study of the properties of glass-forming liquids is difficult for many reasons. Analytic solutions of mean field models are usually available only for systems embedded in a space with an unphysically high number of spatial dimensions;…

Disordered Systems and Neural Networks · Physics 2015-02-26 Manuel Sebastian Mariani , Giorgio Parisi , Corrado Rainone

The dynamical behavior of a kind of models with hierarchically constrained dynamics is investigated. The models exhibit many properties resembling real structural glasses. In particular, we focus on the study of time-dependent temperature…

Statistical Mechanics · Physics 2009-11-07 A. Prados , J. J. Brey

The extreme slowing down associated with glass formation in experiments and in simulations results in serious difficulties to prepare deeply quenched, well annealed, glassy material. Recently, methods to achieve such deep quenching were…

Soft Condensed Matter · Physics 2020-07-08 Bhanu Prasad Bhowmik , Valery Iylin , Itamar Procaccia

In this note we apply some theoretical predictions that arise in the mean field framework for a large class of infinite range models to structural glasses and we present a first comparison of these predictions with numerical results.

Disordered Systems and Neural Networks · Physics 2009-10-30 Barbara Coluzzi , Giorgio Parisi

Theoretical approaches are formulated to investigate the molecular mobility under various cooling rates of amorphous drugs. We describe the structural relaxation of a tagged molecule as a coupled process of cage-scale dynamics and…

Soft Condensed Matter · Physics 2019-12-10 Anh D. Phan , Katsunori Wakabayashi , Marian Paluch , Vu D. Lam

We theoretically calculate the average fraction of frozen particles in rectangular systems of arbitrary dimensions for the Kob-Andersen and Fredrickson-Andersen kinetically-constrained models. We find the aspect ratio of the rectangle's…

Statistical Mechanics · Physics 2012-11-28 Eial Teomy , Yair Shokef

We compute the shear modulus of amorphous hard and soft spheres, using the exact solution in infinite spatial dimensions that has been developed recently. We characterize the behavior of this observable in the whole phase diagram, and in…

Disordered Systems and Neural Networks · Physics 2014-09-04 Hajime Yoshino , Francesco Zamponi

Aging in an attraction-driven colloidal glass is studied by computer simulations. The system is equilibrated without attraction and instantaneously ``quenched'', at constant colloid volume fraction, to one of two states beyond the glass…

Soft Condensed Matter · Physics 2015-06-25 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by thermal fluctuations or by the long-range elastic consequences…

Soft Condensed Matter · Physics 2023-12-07 Joseph W. Baron , Giulio Biroli

We propose a simple dynamical model of the glass transition based on the results from a non-randomly frustrated spin model which is known to form a glassy state below a characteristic quench temperature. The model is characterized by a…

Statistical Mechanics · Physics 2008-02-03 Michael Ignatiev , Lei Gu , Bulbul Chakraborty

The glass problem is notoriously hard and controversial. Even at the mean-field level, little is agreed about how a fluid turns sluggish while exhibiting but unremarkable structural changes. It is clear, however, that the process involves…

Statistical Mechanics · Physics 2012-08-31 Patrick Charbonneau , Atsushi Ikeda , Giorgio Parisi , Francesco Zamponi

The jamming transition of frictionless athermal particles is a paradigm to understand the mechanics of amorphous materials at the atomic scale. Concepts related to the jamming transition and the mechanical response of jammed packings have…

Soft Condensed Matter · Physics 2025-02-07 Alessio Zaccone

Bulk glass formation occurs over a very small part of phase space, and "good" glasses (which form even at low quench rates ~ 10K/sec) select an even smaller part of that accessible phase space. An axiomatic theory provides the physical…

Soft Condensed Matter · Physics 2009-11-13 P. Boolchand , Mingji Jin , D. I. Novita , S. Chakravarty

Shear band propagation and interaction are critical to the mechanical performance of metallic glasses and are strongly governed by thermal history, yet their microscopic mechanisms remain unclear. Here, using molecular dynamics simulations…

Materials Science · Physics 2025-12-24 Lechuan Sun , Shan Zhang , Bin Xu , Rui Su , Yunjiang Wang , Pengfei Guan

We introduce a three-dimensional model for jamming and glasses, and prove that the fraction of frozen particles is discontinuous at the directed-percolation critical density. In agreement with the accepted scenario for jamming- and…

Statistical Mechanics · Physics 2014-05-02 Antina Ghosh , Eial Teomy , Yair Shokef

We apply the well-established theoretical method developed for geometrical nonlinearities of micro/nano-mechanical clamped beams to circular drums. The calculation is performed under the same hypotheses, the extra difficulty being to…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 D. Cattiaux , S. Kumar , X. Zhou , A. Fefferman , E. Collin

The time-dependent susceptibility for the finite-size mean-field Random Orthogonal model (ROM) is studied numerically for temperatures above the mode-coupling temperature. The results show that the imaginary part of the susceptibility…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Rao , Andrea Crisanti , Felix Ritort

In this work, we address the question of how a closed quantum system thermalises in the presence of a random external potential. By investigating the quench dynamics of the isolated quantum spherical $p$-spin model, a paradigmatic model of…

Disordered Systems and Neural Networks · Physics 2020-09-23 S. J. Thomson , P. Urbani , M. Schiro

We introduce a family of glassy models having a parameter, playing the role of an interaction range, that may be varied continuously to go from a system of particles in d dimensions to a mean-field version of it. The mean-field limit is…

Statistical Mechanics · Physics 2015-05-27 Romain Mari , Jorge Kurchan