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We develop a replicated liquid theory for structural glasses which exhibit spatial variation of physical quantities along one axis, say $z$-axis. The theory becomes exact with infinite transverse dimension $d-1 \to \infty$. It provides an…

Soft Condensed Matter · Physics 2025-11-14 Yukihiro Tomita , Hajime Yoshino

We observed a two-step glass transition in monolayers of colloidal ellipsoids by video microscopy. The glass transition in the rotational degree of freedom was at a lower density than that in the translational degree of freedom. Between the…

Soft Condensed Matter · Physics 2015-05-28 Zhongyu Zheng , Feng Wang , Yilong Han

Extending mode-coupling theory, we elaborate a microscopic theory for the glass transition of liquids confined between two parallel flat hard walls. The theory contains the standard MCT equations in bulk and in two dimensions as limiting…

Soft Condensed Matter · Physics 2010-09-15 Simon Lang , Vitalie Botan , Martin Oettel , David Hajnal , Thomas Franosch , Rolf Schilling

In this letter we study a lattice gas system that undergoes a glassy transition. When we approach the glass transition we find both a divergence of a point to set correlation length and the vanishing of the thermodynamic potential. These…

Soft Condensed Matter · Physics 2009-11-13 Giorgio Parisi

Colloids are suspensions of small solid particles in a liquid, and exhibit glassy behavior when the particle concentration is high. In these samples, the particles are roughly analogous to individual molecules in a traditional glass. This…

Soft Condensed Matter · Physics 2017-01-05 Eric R. Weeks

We derive an extension of the mode coupling theory for the liquid-glass transition to a class of models of confined fluids, where the fluid particles evolve in a disordered array of interaction sites. We find that the corresponding…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Krakoviack

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

Concentrated colloidal suspensions are a well-tested model system which has a glass transition. Colloids are suspensions of small solid particles in a liquid, and exhibit glassy behavior when the particle concentration is high; the…

Soft Condensed Matter · Physics 2010-10-01 Luca Cipelletti , Eric R. Weeks

Topological defects are typically quantified relative to ordered backgrounds. The importance of these defects to the understanding of physical phenomena including diverse equilibrium melting transitions from low temperature ordered to…

Statistical Mechanics · Physics 2019-02-19 Z. Nussinov , N. B. Weingartner , F. S. Nogueira

Orientational relaxation (OR) in a viscous, glassy liquid is investigated by carrying out extensive NPT molecular dynamics simulations of isolated ellipsoids in a glass forming binary mixture. Near the glass transition, the OR occurs mainly…

Soft Condensed Matter · Physics 2016-08-31 S. Bhattacharyya , A. Mukherjee , B. Bagchi

We study the glass transition of binary mixtures of dipolar particles in two dimensions within the framework of mode-coupling theory, focusing in particular on the influence of composition changes. In a first step, we demonstrate that the…

Soft Condensed Matter · Physics 2011-02-09 David Hajnal , Martin Oettel , Rolf Schilling

We propose a method to study quantitatively the glass transition in a system of interacting particles. In spite of the absence of any quenched disorder, we introduce a replicated version of the hypernetted chain equations. The solution of…

Condensed Matter · Physics 2009-10-28 Marc Mezard , Giorgio Parisi

Within the framework of the mode-coupling theory of super-cooled liquids, we investigate new phenomena in colloidal systems on approach to their glass transitions. When the inter-particle potential contains an attractive part, besides the…

Soft Condensed Matter · Physics 2009-11-07 K. A. Dawson , G. Foffi , F. Sciortino , P. Tartaglia , E. Zaccarelli

The critical behaviour of the dynamical transition of glassy system is controlled by a Replica Symmetric action with n=1 replicas. The most divergent diagrams in the loop expansion correspond at all orders to the solutions of a stochastic…

Statistical Mechanics · Physics 2011-05-27 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

The transition from a liquid to a glass in colloidal suspensions of particles interacting through a hard core plus an attractive square-well potential is studied within the mode-coupling-theory framework. When the width of the attractive…

Soft Condensed Matter · Physics 2007-05-23 K. Dawson , G. Foffi , M. Fuchs , W. Gotze , F. Sciortino , M. Sperl , P. Tartaglia , Th. Voigtmann , E. Zaccarelli

The mode-coupling theory of the glass transition treats the dynamics of supercooled liquids in terms of two-point density correlation functions. Here we consider a generalized, hierarchical formulation of schematic mode-coupling equations…

Statistical Mechanics · Physics 2014-11-27 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

The static behavior of orientational glasses is discussed in terms of a replica theory based on the infinite range random bond--random field model. A general version of the model applicable to dipolar and quadrupolar glasses is presented…

Condensed Matter · Physics 2007-05-23 R. Pirc , B. Tadic , R. Blinc

We give a brief introduction to the mode-coupling theory of the glass transition, a theory which was proposed a while ago to describe the dynamics of supercooled liquids. After presenting the basic equations of the theory, we review some of…

Statistical Mechanics · Physics 2008-02-03 W. Kob

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

As one increases the concentration of a colloidal suspension, the system exhibits a dramatic increase in viscosity. Structurally, the system resembles a liquid, yet motions within the suspension are slow enough that it can be considered…

Soft Condensed Matter · Physics 2012-05-22 Gary L. Hunter , Eric R. Weeks
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