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Related papers: Unveiling the anatomy of mode-coupling theory

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We review the nature of glass transitions and the glasses arising from a square-well potential with a narrow and deep well. Our discussion is based on the Mode Coupling Theory, and the predictions of glasses that we make refer to the…

Soft Condensed Matter · Physics 2009-10-31 E. Zaccarelli , G. Foffi , K. A. Dawson , F. Sciortino , P. Tartaglia

In the context of the random first order transition theory we use an extended mode coupling theory of the glass transition that includes activated events to account for spatiotemporal structures in aging and rejuvenating glasses. We…

Disordered Systems and Neural Networks · Physics 2015-06-15 Apiwat Wisitsorasak , Peter G. Wolynes

The glassy dynamics in confluent epithelial monolayers is crucial for several biological processes, such as wound healing, embryogenesis, cancer progression, etc. Several experiments have indicated that, unlike particulate systems, the…

Soft Condensed Matter · Physics 2024-07-24 Satyam Pandey , Soumitra Kolya , Padmashree Devendran , Souvik Sadhukhan , Tamal Das , Saroj Kumar Nandi

The topic of the glass transition gives rise to a a wide diversity of views. It is, accordingly, characterized by a lack of agreement on which would be the most profitable theoretical perspective. In this chapter, I provide some elements…

Statistical Mechanics · Physics 2010-10-15 Gilles Tarjus

A quantitative application to real supercooled liquids of the mean-field scenario for the glass transition ($T_g$) is proposed. This scenario, based on an analogy with spin-glass models, suggests a unified picture of the mode-coupling…

Disordered Systems and Neural Networks · Physics 2009-10-31 V. Krakoviack , C. Alba-Simionesco

Mottness is at the heart of the essential physics in a strongly correlated system as many novel quantum phenomena occur in the metallic phase near the Mott metal-insulator transition. We investigate the Mott transition in a Hubbard model by…

Strongly Correlated Electrons · Physics 2023-11-29 Yuekun Niu , Yu Ni , Jianli Wang , Leiming Chen , Ye Xing , Yun Song , Shiping Feng

The generalized quantum master equation provides a powerful framework for non-Markovian dynamics of open quantum systems. However, the accurate and efficient evaluation of the memory kernel remains a challenge. In this work, we introduce a…

Chemical Physics · Physics 2026-05-26 Rui-Hao Bi , Wei Liu , Wenjie Dou

We extend Mode-Coupling Theory (MCT) to inhomogeneous situations, relevant for supercooled liquid in pores, close to a surface, or in an external field. We compute the response of the dynamical structure factor to a static inhomogeneous…

Statistical Mechanics · Physics 2009-11-11 Giulio Biroli , Jean-Philippe Bouchaud , Kunimasa Miyazaki , David R. Reichman

The aim of this paper is to summarise the basic arguments and the intuition bolstering the RFOT picture for glasses, based on a finite dimensional extension of mean-field models with an exponentially large number of metastable states. We…

Disordered Systems and Neural Networks · Physics 2009-12-15 G. Biroli , J. P. Bouchaud

Thermodynamics and kinetics are thought to be linked in glass transitions. The quantitative predictions of -relaxation activation barriers provided by the theory of glasses based on random first order transitions are compared with…

Soft Condensed Matter · Physics 2007-05-23 Jacob D. Stevenson , Peter G. Wolynes

An important prediction of Mode-Coupling-Theory (MCT) is the relationship between the power- law decay exponents in the {\beta} regime. In the original structural glass context this relationship follows from the MCT equations that are…

Disordered Systems and Neural Networks · Physics 2013-01-30 Francesco Caltagirone , Ulisse Ferrari , Luca Leuzzi , Giorgio Parisi , Tommaso Rizzo

The numerical complex coupled-mode method used in a metal thin-film optic element is applied to a planar multilayer optical waveguide. All modes are required to satisfy Helmholtz Vectorial equation in an optical waveguide including bound…

Optics · Physics 2020-01-06 Shahram Moradi

Systems with a high degree of size polydispersity are becoming standard in the computational study of deeply supercooled liquids. In this work we perform a systematic analysis of continuously polydisperse fluids as a function of the degree…

Soft Condensed Matter · Physics 2023-09-06 Corentin C. L. Laudicina , Ilian Pihlajamaa , Liesbeth M. C. Janssen

Little is known about the coupling of rotation and translation in dense systems. Here, we report results of confocal fluorescence microscopy where simultaneous recording of translational and rotational particle trajectories from a…

Soft Condensed Matter · Physics 2024-11-08 John Geiger , Niklas Grimm , Matthis Fuchs , Andreas Zumbusch

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

Extending Prigogine's ideas to the interior of the system, we generalize mode-coupling theory from a microscopic to a mesoscopic formulation by incorporating the non-equilibrium eigen-phase. The resulting framework resolves two…

Statistical Mechanics · Physics 2026-02-27 Yikun Ren , Feixiang Xu , Ming Lin

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

We introduce MTT, a dependent type theory which supports multiple modalities. MTT is parametrized by a mode theory which specifies a collection of modes, modalities, and transformations between them. We show that different choices of mode…

Logic in Computer Science · Computer Science 2023-06-22 Daniel Gratzer , G. A. Kavvos , Andreas Nuyts , Lars Birkedal

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

We solved the mode-coupling equations for the Kob-Andersen binary mixture using the structure factors calculated from Brownian dynamics simulations of the same system. We found, as was previously observed, that the mode-coupling…

Soft Condensed Matter · Physics 2009-11-11 Elijah Flenner , Grzegorz Szamel
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