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We develop a systematic extension of mode-coupling theory (MCT) that incorporates critical dynamical fluctuations. Starting from a microscopic diagrammatic theory, we identify dominant classes of divergent diagrams near the mode-coupling…

Statistical Mechanics · Physics 2025-12-16 Corentin C. L. Laudicina , Liesbeth M. C. Janssen , Grzegorz Szamel

Within a recently developed mode-coupling theory for fluids confined to a slit we elaborate numerical results for the long-time limits of suitably generalized intermediate scattering functions. The theory requires as input the density…

Soft Condensed Matter · Physics 2021-10-29 Suvendu Mandal , Simon Lang , Vitalie Boţan , Thomas Franosch

The colloidal gel and glass transitions are investigated using the idealized mode coupling theory (MCT) for model systems characterized by short-range attractive interactions. Results are presented for the adhesive hard sphere and hard core…

Soft Condensed Matter · Physics 2009-10-31 J. Bergenholtz , M. Fuchs

Understanding the physics of glass formation remains one of the major unsolved challenges of condensed matter science. As a material solidifies into a glass, it exhibits a spectacular slowdown of the dynamics upon cooling or compression,…

Statistical Mechanics · Physics 2018-10-03 Liesbeth M. C. Janssen

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

A high order morphing continuum theory (MCT) is introduced to model highly compressible turbulence. The theory is formulated under the rigorous framework of rational continuum mechanics. A set of linear constitutive equations and balance…

Fluid Dynamics · Physics 2017-11-22 James Chen

We present computer simulations of a simple bead-spring model for polymer melts with intramolecular barriers. By systematically tuning the strength of the barriers, we investigate their role on the glass transition. Dynamic observables are…

Soft Condensed Matter · Physics 2015-05-14 Marco Bernabei , Angel J. Moreno , Juan Colmenero

We present an extensive treatment of the generalized mode-coupling theory (GMCT) of the glass transition, which seeks to describe the dynamics of glass-forming liquids using only static structural information as input. This theory amounts…

Statistical Mechanics · Physics 2016-07-05 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

Mode coupling theory (MCT) has been successful in explaining the observed sequence of time relaxations in dense fluids. Previous expositions of this theory showing this sequence have required the existence of an ideal glass transition…

Condensed Matter · Physics 2009-10-22 Gene F. Mazenko , Joonhyun Yeo

We study the dynamics of a one-component liquid constrained on a spherical substrate, a 2-sphere, and investigate how the mode-coupling theory (MCT) can describe the new features brought by the presence of curvature. To this end we have…

Soft Condensed Matter · Physics 2015-09-30 Julien-Piera Vest , Gilles Tarjus , Pascal Viot

Mode-coupling theory (MCT) predicts arrest of colloids in terms of their volume fraction, and the range and depth of the interparticle attraction. We discuss how effective values of these parameters evolve under cluster aggregation. We…

Soft Condensed Matter · Physics 2009-11-10 K. Kroy , M. E. Cates , W. C. K. Poon

The physics of active systems of self-propelled particles, in the regime of a dense liquid state, is an open puzzle of great current interest, both for statistical physics and because such systems appear in many biological contexts. We…

Soft Condensed Matter · Physics 2017-10-26 Saroj Kumar Nandi , Nir S. Gov

We use molecular dynamics computer simulations to investigate a critical temperature T_c for a dynamical glass transition as proposed by the mode-coupling theory (MCT) of dense liquids in a glass forming Ni_{0.8}Zr_{0.2}-system. The…

Materials Science · Physics 2007-08-09 A. B. Mutiara

The aim of this paper is to test numerically the predictions of the Mode Coupling Theory (MCT) of the glass transition and study its finite size scaling properties in a model with an exact MCT transition, which we choose to be the fully…

Disordered Systems and Neural Networks · Physics 2009-09-24 Thomas Sarlat , Alain Billoire , Giulio Biroli , Jean-Philippe Bouchaud

We show that the glass transition predicted by the Mode-Coupling Theory (MCT) is a critical phenomenon with a diverging length and time scale associated to the cooperativity of the dynamics. We obtain the scaling exponents nu and z that…

Statistical Mechanics · Physics 2009-11-10 Giulio Biroli , Jean-Philippe Bouchaud

Dynamical observables can often be described by time correlation functions (TCFs). However, efficiently calculating TCFs for complex quantum systems is a significant challenge, which generally requires solving the full dynamics of the…

Chemical Physics · Physics 2025-04-03 Wei Liu , Yu Su , Yao Wang , Wenjie Dou

The predictions of the mode-coupling theory (MCT) for the dynamical arrest scenarios in a partly pinned (PP) fluid system are reported. The corresponding dynamical phase diagram is found to be very similar to that of a related…

Disordered Systems and Neural Networks · Physics 2011-11-21 Vincent Krakoviack

A combination of molecular-dynamics (MD) computer simulation and mode-coupling theory (MCT) is used to elucidate the structure-dynamics relation in sodium-silicate melts (NSx) of varying sodium concentration. Using only the partial static…

Disordered Systems and Neural Networks · Physics 2009-11-11 Thomas Voigtmann , Juergen Horbach

We analyze the glassy dynamics of a binary mixtures of hard disks in two dimensions. Predictions of the Mode-Coupling theory(MCT) are tested with extensive Brownian dynamics simulations. Measuring the collective particle density correlation…

Soft Condensed Matter · Physics 2011-04-27 Fabian Weysser , David Hajnal

The coupling-parameter method, whereby an extra particle is progressively coupled to the rest of the particles, is applied to the sticky-hard-sphere fluid to obtain its equation of state in the so-called chemical-potential route ($\mu$…

Soft Condensed Matter · Physics 2014-04-15 René D. Rohrmann , Andrés Santos