English
Related papers

Related papers: Unveiling the anatomy of mode-coupling theory

200 papers

We show that facilitated spin mixtures with a tunable facilitation reproduce, on a Bethe lattice, the simplest higher-order singularity scenario predicted by the mode-coupling theory (MCT) of liquid-glass transition. Depending on the…

Disordered Systems and Neural Networks · Physics 2011-01-04 Mauro Sellitto , Daniele De Martino , Fabio Caccioli , Jeferson J. Arenzon

We study the equilibrium statistical properties of the potential energy landscape of several glass models in a temperature regime so far inaccessible to computer simulations. We show that unstable modes of the stationary points undergo a…

Statistical Mechanics · Physics 2019-12-11 Daniele Coslovich , Andrea Ninarello , Ludovic Berthier

We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a…

Soft Condensed Matter · Physics 2019-05-01 Grzegorz Szamel

We propose a novel computational strategy to study the glass transition of molecular fluids. Our approach combines the construction of simple yet realistic models with the development of Monte Carlo algorithms to accelerate equilibration…

Statistical Mechanics · Physics 2026-03-31 Romain Simon , Jean-Louis Barrat , Ludovic Berthier

We study theoretically the non-linear response properties of glass formers. We establish several general results which, together with the assumption of Time-Temperature Superposition, lead to a relation between the non-linear response and…

Statistical Mechanics · Physics 2009-12-19 Marco Tarzia , Giulio Biroli , Jean-Philippe Bouchaud , Alexandre Lefèvre

A self-consistent mode coupling theory (MCT) with microscopic inputs of equilibrium pair correlation functions is developed to analyze electrolyte dynamics. We apply the theory to calculate concentration dependence of (i) time dependent ion…

Statistical Mechanics · Physics 2015-01-09 Susmita Roy , Subramanian Yashonath , Biman Bagchi

The van der Waals liquid orthoterphenyl has long been used as a model system in the study of the glass transition. Motivated by mode-coupling theory, extensive experiments have been undertaken to monitor the onset of structural relaxation…

Disordered Systems and Neural Networks · Physics 2009-11-07 Albert Toelle

We study many-body correlation functions within various Fundamental Measure Theory (FMT) formulations and compare their predictions to Monte Carlo simulations of hard-sphere fluids. FMT accurately captures the qualitative behavior of three-…

Chemical Physics · Physics 2025-10-30 Ilian Pihlajamaa , Teunike A. van de Pol , Liesbeth M. C. Janssen

We apply the mode coupling theory (MCT) which was recently worked out for molecular liquids to a liquid of diatomic, rigid molecules. Using the static correlators from a molecular dynamics simulation, we have solved the MCT-equations for…

Disordered Systems and Neural Networks · Physics 2009-10-31 Christoph Theis , Rolf Schilling

We investigate the dynamics of a driven system of dissipative hard spheres in the framework of mode-coupling theory. The dissipation is modeled by normal restitution, and driving is applied to individual particles in the bulk. In such a…

Soft Condensed Matter · Physics 2010-06-29 W. Till Kranz , Matthias Sperl , Annette Zippelius

We study a schematic mode-coupling model in which the ideal glass transition is cut off by a decay of the quadratic coupling constant in the memory function. (Such a decay, on a time scale tau_I, has been suggested as the likely consequence…

Statistical Mechanics · Physics 2007-05-23 M. J. Greenall , M. E. Cates

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

Disordered Systems and Neural Networks · Physics 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

The glass transition is the most enduring grand-challenge problem in contemporary condensed matter physics. Here, we review the contribution of colloid experiments to our understanding of this problem. First, we briefly outline the success…

Soft Condensed Matter · Physics 2016-09-01 Shreyas Gokhale , A. K. Sood , Rajesh Ganapathy

Time-dependent current-density-functional theory (TDCDFT) provides an in principle exact scheme to calculate efficiently response functions for a very broad range of applications. However, the lack of approximations valid for a range of…

Strongly Correlated Electrons · Physics 2015-05-20 Matteo Gatti

We review recent results from computer simulation studies of polymer glasses, from chain dynamics around the glass transition temperature Tg to the mechanical behaviour below Tg. These results clearly show that modern computer simulations…

Materials Science · Physics 2010-09-29 Jean-Louis Barrat , Joerg Baschnagel , Alexei Lyulin

Temporal coupled-mode theory (CMT) is an acclaimed and widely used theoretical framework for modeling the continuous wave (CW) response and temporal dynamics of any integrated or free-space photonic resonant structure. It was initially…

In the 1970s a new paradigm was introduced that interacting quenched systems, such as a spin-glass, have a phase transition in which long time memory of spatial patterns is realized without spatial correlations. The principal methods to…

In a Comment (cond-mat/0310030) on our recent paper on network glasses (Phys. Rev. Lett., 2003, 90, 085505), Micoulaut and Boolchand (MB) compare our predictions on glass transitions in network systems for the ratios of the transition…

Materials Science · Physics 2007-05-23 Randall W. Hall , Peter G. Wolynes

The time-convolutionless mode-coupling (TMCT) equation for the intermediate scattering function $f_{\alpha}(q,t)$ derived recently by the present author is transformed into a simple nonlinear recursion formula for a generating function…

Statistical Mechanics · Physics 2015-06-22 Michio Tokuyama

Computational modeling helps neuroscientists to integrate and explain experimental data obtained through neurophysiological and anatomical studies, thus providing a mechanism by which we can better understand and predict the principles of…

Neurons and Cognition · Quantitative Biology 2023-09-22 Parvin Zarei Eskikand , David B Grayden , Tatiana Kameneva , Anthony N Burkitt , Michael R Ibbotson