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Related papers: Mode-Coupling Approximations, Glass Theory and Dis…

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Using computer simulations, we identify the mechanisms causing aggregation and structural arrest of colloidal suspensions interacting with a short-ranged attraction at moderate and high densities. Two different non-ergodicity transitions…

Condensed Matter · Physics 2009-11-07 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

Diverse material classes exhibit practically identical behavior when made viscous upon cooling toward the glass transition, suggesting a common theoretical basis. The first-principles scaling laws that have been proposed to describe the…

Long-ranged, or power-law, behavior of correlation functions in both space and time is discussed for classical systems and for quantum systems at finite temperature, and is compared with the corresponding behavior in quantum systems at zero…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

We present computer simulations of a simple bead-spring model for polymer melts with intramolecular barriers. By systematically tuning the strength of the barriers, we investigate their role on the glass transition. Dynamic observables are…

Soft Condensed Matter · Physics 2015-05-14 Marco Bernabei , Angel J. Moreno , Juan Colmenero

We discuss the structure and asymptotic long-time properties of coupled equations for the moments of a Brownian particle's momentum derived microscopically beyond the lowest approximation in the weak coupling parameter. Generalized…

Statistical Mechanics · Physics 2015-05-30 A. V. Plyukhin

A microscopic approach is presented for calculating general properties of interacting Brownian particles under steady shearing. We start from exact expressions for shear-dependent steady-state averages, such as correlation and structure…

Soft Condensed Matter · Physics 2009-07-02 Matthias Fuchs , Michael E. Cates

We report results of molecular-dynamics simulations of a model polymer melt consisting of short non-entangled chains in the supercooled state above the critical temperature of mode-coupling theory (MCT). To analyse the dynamics of the…

Soft Condensed Matter · Physics 2007-05-23 M. Aichele , J. Baschnagel

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in quasi-equilibrium at an effective temperature. It…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

Collective motion over increasing length scales is a signature of the vitrification process of liquids. We demonstrate the emergence of distinct static and dynamic length scales probed near the free surface in fully equilibrated…

Statistical Mechanics · Physics 2022-11-28 Hailong Peng , Huashan Liu , Thomas Voigtmann

Dynamics of spin-glasses subjected to slow continuous changes of working enviroment such as slow changes of temperature or interaction bonds are studied based on scaling arguments and numerical simulations of continuous bond changes. Such…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hajime Yoshino , Petra E. Jonsson

We argue that complex systems must possess long range correlations and illustrate this idea on the example of the mean field spin glass model. Defined on the complete graph, this model has no genuine concept of distance, but the long range…

Disordered Systems and Neural Networks · Physics 2011-02-23 Alain Billoire , Imre Kondor , Jovanka Lukic , Enzo Marinari

The problem of measuring nontrivial static correlations in deeply supercooled liquids made recently some progress thanks to the introduction of amorphous boundary conditions, in which a set of free particles is subject to the effect of a…

Disordered Systems and Neural Networks · Physics 2015-06-11 G. Gradenigo , R. Trozzo , A. Cavagna , T. S. Grigera , P. Verrocchio

We define a correlation function that quantifies the spatial correlation of single-particle displacements in liquids and amorphous materials. We show for an equilibrium liquid that this function is related to fluctuations in a bulk…

Soft Condensed Matter · Physics 2009-10-31 Claudio Donati , Sharon C. Glotzer , Peter H. Poole

Stochastic-Beta-Relaxation (SBR) provides a characterisation of the glass crossover in discontinuous Spin-Glasses and Supercoooled liquid. Notably it can be derived through a rigorous computation from a dynamical Landau theory. In this…

Disordered Systems and Neural Networks · Physics 2019-06-25 Tommaso Rizzo

In this paper, we review the general features of the out-of-equilibrium dynamics of spin glasses. We use this example as a guideline for a brief description of glassy dynamics in other disordered systems like structural and polymer glasses,…

Disordered Systems and Neural Networks · Physics 2009-11-03 Eric Vincent

We construct the equations for the growth kinetics of an aging structural glass within mode-coupling theory through a non-stationary variant of the 3-density correlator defined in Phys. Rev. Lett. {\bf 97}, 195701 (2006). We solve a…

Soft Condensed Matter · Physics 2021-08-24 Saroj Kumar Nandi , Sriram Ramaswamy

We provide a detailed derivation of the mode-coupling equations for a colloidal liquid confined by two parallel smooth walls. We introduce irreducible memory kernels for the different relaxation channels thereby extending the projection…

Statistical Mechanics · Physics 2020-07-20 Lukas Schrack , Thomas Franosch

Dense or glassy active matter, as a result of its remarkable resemblance to passive glass-forming materials, is enjoying increasing scientific interest. To better grasp the subtle effect of active motion on the process of vitrification, a…

Soft Condensed Matter · Physics 2023-10-20 Vincent E. Debets , Liesbeth M. C. Janssen

We analyse the connections between structure and dynamics in two model glass-formers, using the mutual information between an initial configuration and the ensuing dynamics to compare the predictive value of different structural…

Statistical Mechanics · Physics 2014-09-05 Robert L. Jack , Andrew J. Dunleavy , C. Patrick Royall

The motion of a particle in a correlated random potential under the influence of a driving force is investigated in mean field theory. The correlations of the disorder are characterized by a short distance cutoff and a power law decay with…

Condensed Matter · Physics 2009-10-28 Heinz Horner