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Critical slowing down dynamics of supercooled glass-forming liquids is usually understood at the mean-field level in the framework of Mode Coupling Theory, providing a two-time relaxation scenario and power-law behaviors of the time…

无序系统与神经网络 · 物理学 2013-01-30 Ulisse Ferrari , Luca Leuzzi , Giorgio Parisi , Tommaso Rizzo

A method is provided to compute the parameter exponent $\lambda$ yielding the dynamic exponents of critical slowing down in mode coupling theory. It is independent from the dynamic approach and based on the formulation of an effective…

无序系统与神经网络 · 物理学 2012-03-06 F. Caltagirone , U. Ferrari , L. Leuzzi , G. Parisi , F. Ricci-Tersenghi , T. Rizzo

We investigate by means of Monte Carlo simulations the fully connected p-state Potts model for different system sizes in order to see how the static and dynamic properties of a finite model compare with the, exactly known, behavior of the…

统计力学 · 物理学 2009-11-07 Claudio Brangian , Walter Kob , Kurt Binder

An important prediction of Mode-Coupling-Theory (MCT) is the relationship between the power- law decay exponents in the {\beta} regime. In the original structural glass context this relationship follows from the MCT equations that are…

无序系统与神经网络 · 物理学 2013-01-30 Francesco Caltagirone , Ulisse Ferrari , Luca Leuzzi , Giorgio Parisi , Tommaso Rizzo

We study the static as well as the glassy or dynamical transition in the mean-field $p$-state Potts glass. By numerical solution of the saddle point equations we investigate the static and the dynamical transition for all values of $p$ in…

凝聚态物理 · 物理学 2007-05-23 Emilio de Santis , Giorgio Parisi , Felix Ritort

We study the 3D Disordered Potts Model with p=5 and p=6. Our numerical simulations (that severely slow down for increasing p) detect a very clear spin glass phase transition. We evaluate the critical exponents and the critical value of the…

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

Aging refers to the evolution of system properties with waiting time $t_w$. It is a key feature of glassy dynamics. Recent experiments have demonstrated aging in biological systems that are inherently active with a magnitude of…

软凝聚态物质 · 物理学 2026-04-10 Soumitra Kolya , Nir S. Gov , Saroj Kumar Nandi

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…

统计力学 · 物理学 2009-11-10 Giulio Biroli , Jean-Philippe Bouchaud

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…

材料科学 · 物理学 2007-08-09 A. B. Mutiara

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

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

Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochastic dynamics of a non-conserved order parameter of the…

统计力学 · 物理学 2015-03-20 N. V. Antonov , A. S. Kapustin

We use Monte Carlo simulations to investigate the dynamical properties of the infinite range 10 states Potts glass. By analyzing the spin autocorrelation function for system sizes up to N=2560, we show that strong finite size effects are…

统计力学 · 物理学 2009-11-07 Claudio Brangian , Walter Kob , Kurt Binder

For over 30 years, mode-coupling theory (MCT) has been the de facto theoretic description of dense fluids and the liquid-glass transition. MCT, however, is limited by its ad hoc construction and lacks a mechanism to institute corrections.…

软凝聚态物质 · 物理学 2015-08-12 David D. McCowan

We study in detail the predictions of various theoretical approaches, in particular mode-coupling theory (MCT) and kinetically constrained models (KCMs), concerning the time, temperature, and wavevector dependence of multi-point correlation…

We provide extended evidence that mode-coupling theory (MCT) of supercooled liquids for the ${\mathsf F}_{12}$ schematic model admits a microscopic realization based on facilitated spin models with tunable facilitation. Depending on the…

无序系统与神经网络 · 物理学 2012-08-24 Jeferson J. Arenzon , Mauro Sellitto

The question about the existence of a structural glass transition in two dimensions is studied using mode coupling theory (MCT). We determine the explicit d-dependence of the memory functional of mode coupling for one-component systems.…

软凝聚态物质 · 物理学 2009-11-13 M. Bayer , J. Brader , F. Ebert , E. Lange , M. Fuchs , G. Maret , R. Schilling , M. Sperl , J. P. Wittmer

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

We consider a Potts model diluted by fully frustrated Ising spins. The model corresponds to a fully frustrated Potts model with variables having an integer absolute value and a sign. This model presents precursor phenomena of a glass…

统计力学 · 物理学 2009-10-31 Giancarlo Franzese
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