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Related papers: Stiff-Glass Approximation of Mode-Coupling Theory

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The excess low-frequency normal modes for two widely-used models of glasses were studied at zero temperature. The onset frequencies for the anomalous modes for both systems agree well with predictions of a variational argument, which is…

Soft Condensed Matter · Physics 2007-05-23 Ning Xu , Matthieu Wyart , Andrea J. Liu , Sidney R. Nagel

We formulate the Collective Quantum Field Theory for three-dimensional bosonic optical lattices and evaluate its consequences in a mean-field approximation to two collective fields, proposed by Fred Cooper et al. and in a lowest-order…

Quantum Gases · Physics 2014-01-22 H. Kleinert , Z. Narzikulov , Abdulla Rakhimov

We demonstrate how the matrix-valued mode-coupling theory of the glass transition and glassy dynamics in planar confinement converges to the corresponding theory for two-dimensional (2D) planar and the three-dimensional bulk liquid,…

Soft Condensed Matter · Physics 2015-01-12 Simon Lang , Rolf Schilling , Thomas Franosch

Generalized mode-coupling theory (GMCT) is a first-principles-based and systematically correctable framework to predict the complex relaxation dynamics of glass-forming materials. The formal theory amounts to a hierarchy of infinitely many…

Statistical Mechanics · Physics 2020-11-26 Rutger A. Biezemans , Simone Ciarella , Onur Çaylak , Björn Baumeier , Liesbeth M. C. Janssen

The high-frequency excitations in glasses and supercooled liquids belong to the great mysteries of the physics of condensed matter. While the fast process, located at GHz-THz, can be interpreted as encaged molecular motion, the occurrence…

Soft Condensed Matter · Physics 2007-05-23 P. Lunkenheimer , A. Loidl

The element of metastability is incorporated in the fluctuating nonlinear hydrodynamic description of the mode coupling theory (MCT) of the liquid-glass transition. This is achieved through the introduction of the defect density variable…

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

Glass-forming liquids have been extensively studied in recent decades, but there is still no theory that fully describes these systems, and the diversity of treatments is in itself a barrier to understanding. Here we introduce a new simple…

Disordered Systems and Neural Networks · Physics 2011-03-28 Davide Cellai , Andrzej Z. Fima , Aonghus Lawlor , Kenneth A. Dawson

A toy model is proposed which incorporates the reversible mode coupling mechanism responsible for ergodic-nonergodic transition with trivial Hamiltonian in the mode coupling theory (MCT) of structural glass transition. The model can be…

Statistical Mechanics · Physics 2009-10-31 Kyozi Kawasaki , Bongsoo Kim

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 study the glass and jamming transition of finite-dimensional models of simple liquids: hard- spheres, harmonic spheres and more generally bounded pair potentials that modelize frictionless spheres in interaction. At finite temperature,…

Disordered Systems and Neural Networks · Physics 2013-07-16 Hugo Jacquin

Coupled mode theory (CMT) is a powerful framework for decomposing interactions between electromagnetic waves and scattering bodies into resonances and their couplings with power-carrying channels. It has widespread use in few-resonance,…

Optics · Physics 2020-10-22 Hanwen Zhang , Owen D. Miller

Within the mode-coupling theory (MCT) for glassy dynamics, the asymptotic low-frequency expansions for the dynamical susceptibilities at critical points are compared to the expansions for the dynamic moduli; this shows that the convergence…

Statistical Mechanics · Physics 2007-05-23 Matthias Sperl

Multiple distinct glass states occur in binary hard-sphere mixtures with constituents of very disparate sizes according to the mode-coupling theory of the glass transition (MCT), distinguished by considering whether small particles remain…

Soft Condensed Matter · Physics 2015-05-20 Th. Voigtmann

Despite the several novel features arising from the dissipative optomechanical coupling, such effect remains vastly unexplored due to the lack of a simple formalism that captures non-Hermiticity in optomechanical systems. In this Letter, we…

The possibility of generating multiple coherent modes in trapped Bose gases is advanced. This requires the usage of several driving fields whose frequencies are tuned close to the corresponding transition frequencies. A general criterion is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. I. Yukalov , K. -P. Marzlin , E. P. Yukalova

We clarify the relation between the ergodicity breaking transition predicted by mode-coupling theory and the so-called dynamic transition predicted by the static replica approach. Following Franz and Parisi [Phys. Rev. Lett. 79, 2486…

Statistical Mechanics · Physics 2015-05-18 Grzegorz Szamel

A simplified nonlinear memory function is proposed in the ideal time-convolutionless mode-coupling theory equation to study the dynamics of glass-forming liquids. The numerical solutions are then compared with the simulation results…

Statistical Mechanics · Physics 2020-01-22 Michio Tokuyama

We study -- using molecular dynamics simulations -- the temperature dependence of the dynamics in a dense short-ranged attractive colloidal glass to find evidence of the kinetic glass-glass transition predicted by the ideal Mode Coupling…

Disordered Systems and Neural Networks · Physics 2009-11-10 Emanuela Zaccarelli , Giuseppe Foffi , Francesco Sciortino , Piero Tartaglia

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

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