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The standard field-theoretical procedure to study the effect of long wavelength fluctuations on a genuine second-order phase transition is applied to the Mode-Coupling-Theory (MCT) dynamical singularity at $T_c$ in the $\beta$ regime.…

无序系统与神经网络 · 物理学 2013-07-17 Tommaso Rizzo

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…

凝聚态物理 · 物理学 2009-10-22 Gene F. Mazenko , Joonhyun Yeo

We present mode-coupling theory (MCT) results for densely packed hard-sphere fluids confined between two parallel walls and compare them quantitatively to computer simulations. The numerical solution of MCT is calculated for the first time…

软凝聚态物质 · 物理学 2023-05-10 Gerhard Jung , Thomas Franosch

We discuss some generic features of the dynamics of glass-forming liquids close to the glass transition singularity of the idealized mode-coupling theory (MCT). The analysis is based on a recent model by one of the authors for the…

统计力学 · 物理学 2015-10-07 Tommaso Rizzo , Thomas Voigtmann

The effect of long wavelength fluctuations on the Mode-Coupling-Theory (MCT) dynamical singularity at $T_c$ in the $\beta$ regime is studied by means of the standard field-theoretical procedure for a genuine second-order phase transition.…

无序系统与神经网络 · 物理学 2015-06-19 Tommaso Rizzo

We present theoretical investigation on the high-frequency collective dynamics in liquids and glasses at microscopic length scales and terahertz frequency region based on the mode-coupling theory for ideal liquid-glass transition. We focus…

软凝聚态物质 · 物理学 2009-11-11 Song-Ho Chong

We consider the Mode Coupling Theory (MCT) of Glass transition for a Binary fluid. The Equations of Nonlinear Fluctuating Hydrodynamics are obtained with a proper choice of the slow variables corresponding to the conservation laws. The…

统计力学 · 物理学 2009-11-07 Upendra Harbola , Shankar P. Das

We argue that the critical dynamical fluctuations predicted by the mode-coupling theory (MCT) of glasses provide a natural mechanism to explain the breakdown of the Stokes-Einstein relation. This breakdown, observed numerically and…

统计力学 · 物理学 2015-06-25 Giulio Biroli , Jean-Philippe Bouchaud

The reformulation of the mode-coupling theory (MCT) of the liquid-glass transition which incorporates the element of metastability is applied to the hard-sphere system. It is shown that the glass transition in this system is not a sharp one…

凝聚态物理 · 物理学 2016-08-31 Joonhyun Yeo

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,…

统计力学 · 物理学 2018-10-03 Liesbeth M. C. Janssen

The predictions of the mode-coupling theory of the glass transition (MCT) for the tagged-particle density-correlation functions and the mean-squared displacement curves are compared quantitatively and in detail to results from Newtonian-…

统计力学 · 物理学 2009-11-10 Th. Voigtmann , A. M. Puertas , M. Fuchs

We develop a mode coupling theory(MCT) to study the nonequilibrium glass transition behavior of a mono-disperse mixture of active-passive hard-sphere particles. The MCT equations clearly demonstrate that the glass transition is shifted to…

软凝聚态物质 · 物理学 2015-06-10 Huai Ding , Mengkai Feng , Huijun Jiang , Zhonghuai Hou

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…

软凝聚态物质 · 物理学 2011-04-27 Fabian Weysser , David Hajnal

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…

软凝聚态物质 · 物理学 2021-07-20 Simone Ciarella , Chengjie Luo , Vincent E. Debets , Liesbeth M. C. Janssen

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)…

软凝聚态物质 · 物理学 2021-08-26 Chengjie Luo , Liesbeth M. C. Janssen

Generalized mode-coupling theory (GMCT) constitutes a systematically correctable, first-principles theory to study the dynamics of supercooled liquids and the glass transition. It is a hierarchical framework that, through the incorporation…

统计力学 · 物理学 2021-02-03 Chengjie Luo , Liesbeth M. C. Janssen

We show that the same physical mechanism is fundamental for two seemingly different phenomena such as the formation of two-level systems in glasses and the Boson peak in the reduced density of low-frequency vibrational states g(w)/w^2. This…

无序系统与神经网络 · 物理学 2010-08-02 D. A. Parshin , V. L. Gurevich , H. R. Schober

We develop a new extended version of the mode-coupling theory (MCT) for glass transition, which incorporates activated hopping processes via the dynamical theory originally formulated to describe diffusion-jump processes in crystals. The…

软凝聚态物质 · 物理学 2009-11-13 Song-Ho Chong

We show that a {\em vibrational instability} of the spectrum of weakly interacting quasi-local harmonic modes creates the maximum in the inelastic scattering intensity in glasses, the Boson peak. The instability, limited by anharmonicity,…

无序系统与神经网络 · 物理学 2009-11-07 V. L. Gurevich , D. A. Parshin , H. R. Schober

Glasses are amorphous solids, in the sense that they display elastic behaviour. In crystals, elasticity is associated with phonons, quantized sound-wave excitations. Phonon-like excitations exist also in glasses at very high frequencies…

凝聚态物理 · 物理学 2016-08-31 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio
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