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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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

无序系统与神经网络 · 物理学 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…

统计力学 · 物理学 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…

软凝聚态物质 · 物理学 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…

统计力学 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

凝聚态物理 · 物理学 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…

软凝聚态物质 · 物理学 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…

统计力学 · 物理学 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…

软凝聚态物质 · 物理学 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…

统计力学 · 物理学 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…

凝聚态物理 · 物理学 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…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

软凝聚态物质 · 物理学 2012-05-22 Gary L. Hunter , Eric R. Weeks
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