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Related papers: Glassy Mean-Field Dynamics of the Backgammon model

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We examine the density-density correlation function in a model recently proposed to study the effect of entropy barriers in glassy dynamics. We find that the relaxation proceeds in two steps with a fast beta process followed by alpha…

Condensed Matter · Physics 2009-10-28 Silvio Franz , Felix Ritort

The zero-temperature limit of the backgammon model under resetting is studied. The model is a balls-in-boxes model whose relaxation dynamics is governed by the density of boxes containing just one particle. As these boxes become rare at…

Statistical Mechanics · Physics 2020-05-21 Pascal Grange

The description of activated relaxation of glassy systems in the multidimensional configurational space is a long-standing open problem. We develop a phenomenological description of the out-of-equilibrium dynamics of a model with a rough…

Disordered Systems and Neural Networks · Physics 2014-10-09 Chiara Cammarota , Enzo Marinari

In this paper we consider an exactly solvable model which displays glassy behavior at zero temperature due to entropic barriers. The new ingredient of the model is the existence of different energy scales or modes associated to different…

Statistical Mechanics · Physics 2009-11-07 L. Leuzzi , F. Ritort

The ground state dynamics of an entropy barrier model proposed recently for describing relaxation of glassy systems is considered. At stages of evolution the dynamics can be described by a simple variant of the Ehrenfest urn model.…

Statistical Mechanics · Physics 2009-10-30 K. P. N. Murthy , K. W. Kehr

We numerically study the zero-temperature relaxation dynamics of several glass-forming models to their inherent structures, following quenches from equilibrium configurations sampled across a wide range of initial temperatures. In a…

Statistical Mechanics · Physics 2022-04-07 Yoshihiko Nishikawa , Misaki Ozawa , Atsushi Ikeda , Pinaki Chaudhuri , Ludovic Berthier

We pursue our investigation of the non-equilibrium dynamics of the Backgammon model, a dynamical urn model which exhibits aging and glassy behavior at low temperature. We present an analytical study of the scaling behavior of the local…

Statistical Mechanics · Physics 2009-10-31 C. Godreche , J. M. Luck

We study a chain of identical glassy systems in a constrained equilibrium where each bond of the chain is forced to remain at a preassigned distance to the previous one. We apply this description to Mean Field Glassy systems in the limit of…

Statistical Mechanics · Physics 2016-03-08 Silvio Franz , Giorgio Parisi

We numerically elucidate the microscopic mechanisms controlling the relaxation dynamics of a three-dimensional lattice glass model that has static properties compatible with the approach to a random first-order transition. At low…

Disordered Systems and Neural Networks · Physics 2024-02-09 Yoshihiko Nishikawa , Ludovic Berthier

We study the dynamics of a glassy model with infinite range interactions externally driven by an oscillatory force. We find a well-defined transition in the (Temperature-Amplitude-Frequency) phase diagram between (i) a `glassy' state…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Leticia F. Cugliandolo , Jose Luis Iguain

We compute for an archetypical glass-forming system the excess of particle mobility distributions over the corresponding distribution of dynamic propensity, a quantity that measures the tendency of the particles to be mobile and reflects…

Statistical Mechanics · Physics 2014-04-01 Rodriguez Fris J. Ariel , Frechero M. , Appignanesi Gustavo

We identify a link between the glass transition and percolation of mobile regions in configuration space. We find that many hallmarks of glassy dynamics, for example stretched-exponential response functions and a diverging structural…

Statistical Mechanics · Physics 2009-11-13 Gregg Lois , Jerzy Blawzdziewicz , Corey S. O'Hern

We study glassy dynamics using a simulation of three soft Brownian particles confined to a two-dimensional circular region. If the circular region is large, the disks freely rearrange, but rearrangements are rarer for smaller system sizes.…

Soft Condensed Matter · Physics 2016-07-06 Xin Du , Eric R. Weeks

A general matrix-based scheme for analyzing the long-time dynamics in kinetically constrained models such as the East model is presented. The treatment developed here is motivated by the expectation that slowly-relaxing spin domains of…

Statistical Mechanics · Physics 2016-08-31 Ramses van Zon , Jeremy Schofield

We analyze fluctuation-dissipation relations in the Backgammon model: a system that displays glassy behavior at zero temperature due to the existence of entropy barriers. We study local and global fluctuation relations for the different…

Statistical Mechanics · Physics 2015-05-13 A. Garriga , I. Pagonabarraga , F. Ritort

We consider the problem of slow activation dynamics in glassy systems undergoing a random first order phase transition. Using an effective potential approach to supercooled liquids, we determine the spectrum of activation barriers for…

Disordered Systems and Neural Networks · Physics 2013-05-29 Maxim Dzero , Joerg Schmalian , Peter G. Wolynes

We analyse the properties of a very simple ``balls-in-boxes'' model which can exhibit a phase transition between a fluid and a condensed phase, similar to behaviour encountered in models of random geometries in one, two and four dimensions.…

Condensed Matter · Physics 2009-10-28 P. Bialas , Z. Burda , D. Johnston

We numerically study the equilibrium relaxation dynamics of a two-dimensional Mari-Kurchan glass model. The tree-like structure of particle interactions forbids both non-trivial structural motifs and the emergence of a complex free-energy…

Disordered Systems and Neural Networks · Physics 2022-06-27 Yoshihiko Nishikawa , Atsushi Ikeda , Ludovic Berthier

We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of loosely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo…

Soft Condensed Matter · Physics 2009-11-10 Jeferson J. Arenzon , Yan Levin , Mauro Sellitto

We introduce simple models, inspired by previous models for froths and covalent glasses, with trivial equilibrium properties but dynamical behaviour characteristic of strong glass forming systems. These models are also a generalization of…

Statistical Mechanics · Physics 2009-11-07 Arnaud Buhot , Juan P. Garrahan , David Sherrington
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