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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…

统计力学 · 物理学 2009-10-31 Kyozi Kawasaki , Bongsoo Kim

Often the current mode coupling theory (MCT) of glass transitions is compared with mean field theories. We explore this possible correspondence. After showing a simple-minded derivation of MCT with some difficulties we give a concise…

统计力学 · 物理学 2009-11-07 Kyozi Kawasaki , Bongsoo Kim

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 consider a gauge theory of the glass transition in the frustrated XY model being simplest model containing topologically nontrivial excitations. We describe the transition kinetics and find that the three-dimensional system exhibits the…

统计力学 · 物理学 2019-06-26 Mikhail Vasin

A mean-field model of Ising spin glass with the Hamiltonian being a sum of the infinite-range ferromagnetic and random antiferromagnetic interactions is studied. It is shown that this model has phase transition in external magnetic field…

无序系统与神经网络 · 物理学 2007-05-23 P. N. Timonin

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

The mode coupling theory (MCT) of glasses, while offering an incomplete description of glass transition physics, represents the only established route to first-principles prediction of rheological behavior in nonergodic materials such as…

软凝聚态物质 · 物理学 2009-09-29 J. M. Brader , Th. Voigtmann , M. Fuchs , R. G. Larson , M. E. Cates

The kinetic glass transition in short-range attractive colloids is theoretically studied by time-convolutionless mode-coupling theory (TMCT). By numerical calculations, TMCT is shown to recover all the remarkable features predicted by the…

无序系统与神经网络 · 物理学 2017-03-15 Takayuki Narumi , Michio Tokuyama

We propose and investigate general kinetic models %of Boltzmann type with transition probabilities that can describe the simultaneous change of multiple microscopic states of the interacting agents. These models can be applied to many…

数学物理 · 物理学 2023-02-23 Marzia Bisi , Nadia Loy

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

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…

软凝聚态物质 · 物理学 2009-10-31 J. Bergenholtz , M. Fuchs

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 canonical tensor model, which is a tensor model in the Hamilton formalism, can be straightforwardly quantized and has an exactly solved physical state. The state is expressed by a wave function with a generalized form of the Airy…

高能物理 - 理论 · 物理学 2020-04-17 Naoki Sasakura

We investigate the non-equilibrium dynamics of the bosonic Hubbard model starting from inhomogeneous superfluid or Mott insulator initial states using the truncated Wigner approximation (TWA). We find that the relaxation of the system…

统计力学 · 物理学 2015-03-10 Ignacio Salazar Landea , Nicolas Nessi

Using an efficient one and two qubit gate simulator, operating on graphical processing units, we investigate ergodic properties of a quantum Ising spin 1/2 model on a two dimensional lattice, which is periodically driven by a…

统计力学 · 物理学 2015-01-07 Carlos Pineda , Tomaž Prosen , Eduardo Villaseñor

A key open question in the glass transition field is whether a finite temperature thermodynamic transition to the glass state exists or not. Recent simulations of coupled replicas in atomistic models have found signatures of a static…

统计力学 · 物理学 2015-06-18 Juan P. Garrahan

The Langevin dynamics of a random heteropolymer and its dynamic glass transition are studied using elementary mode coupling theory. Contrary to recent reports using a similar framework, a discontinuous ergodic-nonergodic phase transition is…

统计力学 · 物理学 2009-10-30 Shoji Takada , John J. Portman , Peter G. Wolynes

The short- and long-time dynamics of model systems undergoing a glass transition with apparent inversion of Kauzmann and dynamical arrest glass transition lines is investigated. These models belong to the class of the spherical mean-field…

无序系统与神经网络 · 物理学 2016-01-06 Corrado Rainone , Ulisse Ferrari , Matteo Paoluzzi , Luca Leuzzi

Mode-coupling theory (MCT) is conjectured to be a mean-field description of dynamics of the structural glass transition and the replica theory to be its thermodynamic counterpart. However, the relationship between the two theories remains…

软凝聚态物质 · 物理学 2015-05-18 Atsushi Ikeda , Kunimasa Miyazaki

The hindered diffusion model is introduced. It is a continuum model giving the dynamics of a conserved density. Similar to the spin-facilitated models, the kinetics are hindered by a fluctuating diffusion coefficient that decreases as the…

统计力学 · 物理学 2007-05-23 Gene F Mazenko
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