Kinetically constrained lattice gases: Tagged particle diffusion

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چکیده

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Dynamical arrest, tracer diffusion and Kinetically Constrained Lattice Gases

We analyze the tagged particle diffusion for kinetically constrained models for glassy systems. We present a method, focusing on the KobAndersen model as an example, which allows to prove lower and upper bounds for the self diffusion coefficient DS . This method leads to the exact density dependence of DS , at high density, for models with finite defects and to prove diffusivity, DS > 0, at any...

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Bulk diffusion in a kinetically constrained lattice gas

In the hydrodynamic regime, the evolution of a stochastic lattice gas with symmetric hopping rules is described by a diffusion equation with densitydependent diffusion coefficient encapsulating all microscopic details of the dynamics. This diffusion coefficient is, in principle, determined by a Green– Kubo formula. In practice, even when the equilibrium properties of a lattice gas are analytica...

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Bulk diffusion in a kinetically constrained lattice gas

In the hydrodynamic regime, the evolution of a stochastic lattice gas with symmetric hopping rules is described by a diffusion equation with densitydependent diffusion coefficient encapsulating all microscopic details of the dynamics. This diffusion coefficient is, in principle, determined by a Green– Kubo formula. In practice, even when the equilibrium properties of a lattice gas are analytica...

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Bulk diffusion in a kinetically constrained lattice gas

In the hydrodynamic regime, the evolution of a stochastic lattice gas with symmetric hopping rules is described by a diffusion equation with densitydependent diffusion coefficient encapsulating all microscopic details of the dynamics. This diffusion coefficient is, in principle, determined by a Green– Kubo formula. In practice, even when the equilibrium properties of a lattice gas are analytica...

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Bulk diffusion in a kinetically constrained lattice gas

In the hydrodynamic regime, the evolution of a stochastic lattice gas with symmetric hopping rules is described by a diffusion equation with densitydependent diffusion coefficient encapsulating all microscopic details of the dynamics. This diffusion coefficient is, in principle, determined by a Green– Kubo formula. In practice, even when the equilibrium properties of a lattice gas are analytica...

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ژورنال

عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques

سال: 2018

ISSN: 0246-0203

DOI: 10.1214/17-aihp873