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We calculate for a binary mixture of Lennard-Jones particles the time dependence of the solution of the mode-coupling equations in which the full wave vector dependence is taken into account. In addition we also take into account the short…

Statistical Mechanics · Physics 2009-11-07 Walter Kob , Markus Nauroth , Francesco Sciortino

The emergence of glassy dynamics and the glass transition in dense disordered systems is still not fully understood theoretically. Mode-coupling theory (MCT) has shown to be effective in describing some of the non-trivial features of glass…

Soft Condensed Matter · Physics 2021-07-20 Simone Ciarella , Chengjie Luo , Vincent E. Debets , Liesbeth M. C. Janssen

We study the simplest mode-coupling equation which describes the time correlation function of the spherical p-spin glass model. We formulate a systematic perturbation theory near the mode-coupling transition point by introducing multiple…

Statistical Mechanics · Physics 2015-05-13 Mami Iwata , Shin-ichi Sasa

Many qualitative observations on the glass transition in classical fluids are well described by the mode coupling theory (MCT) but the extent of the non-ergodicity domain is often over-estimated by this theory. Making it more quantitative…

Statistical Mechanics · Physics 2012-10-04 S. Amokrane , F. Tchangnwa Nya , J. M. Ndjaka

We consider a toy model for glassy dynamics of colloidal suspensions: a single Brownian particle diffusing among immobile obstacles. If Gaussian factorization of static density fluctuations is assumed, this model can be solved without…

Soft Condensed Matter · Physics 2009-11-10 Grzegorz Szamel

We study supercooled dynamics in quantum hard-sphere liquid using quantum mode-coupling formulation. In the moderate quantum regime, classical cage effects lead to slower dynamics compared to strongly quantum regime, where tunneling…

Statistical Mechanics · Physics 2021-02-03 Ankita Das , Eran Rabani , Kunimasa Miyazaki , Upendra Harbola

We establish that a mode-coupling approximation for the dynamics of multi-component systems obeying Smoluchowski dynamics preserves a subtle yet fundamental property: the matrices of partial density correlation functions are completely…

Soft Condensed Matter · Physics 2011-08-12 T. Franosch , Th. Voigtmann

In this paper, we introduce a simple mode-coupling model for concentrated suspensions under flow . This model exhibits a jamming transition, and stress vs shear rate relations which are very similar to experimental results. Namely newtonian…

Soft Condensed Matter · Physics 2009-10-31 P. Hebraud , F. Lequeux

Using a molecular dynamics computer simulation we determine the temperature dependence of the partial structure factors for a binary Lennard-Jones system. These structure factors are used as input data to solve numerically the wave-vector…

Condensed Matter · Physics 2016-08-31 Markus Nauroth , Walter Kob

We study heat conduction in a one-dimensional chain of particles with longitudinal as well as transverse motions. The particles are connected by two-dimensional harmonic springs together with bending angle interactions. The problem is…

Statistical Mechanics · Physics 2009-11-10 Jian-Sheng Wang , Baowen Li

We show that the relaxation dynamics near a glass transition with continuous ergodicity breaking can be endowed with a geometric interpretation based on percolation theory. At mean-field level this approach is consistent with the…

Statistical Mechanics · Physics 2014-09-05 Jeferson J. Arenzon , Antonio Coniglio , Annalisa Fierro , Mauro Sellitto

We combine the hyper-netted chain approximation of liquid state theory with the mode-coupling theory of the glass transition to analyze the structure and dynamics of soft spheres interacting via harmonic repulsion. We determine the locus of…

Statistical Mechanics · Physics 2010-03-29 Ludovic Berthier , Elijah Flenner , Hugo Jacquin , Grzegorz Szamel

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

We report idealized mode-coupling theory results for the glass transition of ensembles of model fullerenes interacting via phenomenological two-body potentials. Transition lines are found for C60, C70 and C96 in the temperature-density…

Statistical Mechanics · Physics 2007-05-23 M. J. Greenall , Th. Voigtmann

Using molecular dynamics simulations we study the slow dynamics of a hard sphere fluid confined in a disordered porous matrix. The presence of both discontinuous and continuous glass transitions as well as the complex interplay between…

Soft Condensed Matter · Physics 2009-09-29 Jan Kurzidim , Daniele Coslovich , Gerhard Kahl

Molecular dynamics simulations of a Lennard-Jones binary mixture confined in a disordered array of soft spheres are presented. The single particle dynamical behavior of the glass former is examined upon supercooling. Predictions of mode…

Statistical Mechanics · Physics 2009-11-07 P. Gallo , R. Pellarin , M. Rovere

A self-consistent mode-coupling theory is presented for the viscosity of solutions of charged rod-like polymers. The static structure factor used in the theory is obtained from polymer integral equation theory; the Debye-H\"{u}ckel…

Soft Condensed Matter · Physics 2009-11-10 Kunimasa Miyazaki , Biman Bagchi , Arun Yethiraj

Sticky hard spheres, i.e., hard particles decorated with a short-ranged attractive interaction potential, constitute a relatively simple model with highly non-trivial glassy dynamics. The mode-coupling theory of the glass transition (MCT)…

Soft Condensed Matter · Physics 2021-08-26 Chengjie Luo , Liesbeth M. C. Janssen

A formally exact set of equations is derived for the description of nonequilibrium phenomena in classical liquids and glasses. With the help of a non equilibrium projection operator formalism, the correlation functions and fluctuation…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Latz

A theory for chemical reaction dynamics in condensed phase systems based on the generalized Langevin formalism of Grote and Hynes is presented. A microscopic approach to calculate the dynamic friction is developed within the framework of a…

Statistical Mechanics · Physics 2009-11-10 Nurit Shental , Eran Rabani
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