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Related papers: Relaxation to equilibrium of generalized East proc…

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We consider the relaxation process and the out-of-equilibrium dynamics of natural generalizations to arbitrary dimensions of the well known one dimensional East process. These facilitated models are supposed to catch some of the main…

Statistical Mechanics · Physics 2015-06-22 Paul Chleboun , Alessandra Faggionato , Fabio Martinelli

An alternative scenario for the glass transition based on the cooperative nature of nucleation processes and the role of entropic effects is presented. The new ingredient is to relate the dissipation during the relaxation process to the…

Statistical Mechanics · Physics 2007-05-23 Andrea Crisanti , Felix Ritort

We show that the dynamics of a laser driven Rydberg gas in the limit of strong dephasing is described by a master equation with manifest kinetic constraints. The equilibrium state of the system is uncorrelated but the constraints in the…

Atomic Physics · Physics 2015-06-16 Igor Lesanovsky , Juan P. Garrahan

We consider nonequilibrium (NEQ) states such as supercooled liquids and glasses that are described with use of internal variables. We classify the latter by state-dependent hierarchy of relaxation times to assess their relevance for…

Statistical Mechanics · Physics 2018-04-04 P. D. Gujrati

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

The East process, a well known reversible linear chain of spins, represents the prototype of a general class of interacting particle systems with constraints modeling the dynamics of real glasses. In this paper we consider a generalization…

Probability · Mathematics 2015-01-12 Paul Chleboun , Alessandra Faggionato , Fabio Martinelli

We consider the non-equilibrium dynamics of the East model, a linear chain of 0-1 spins evolving under a simple Glauber dynamics in the presence of a kinetic constraint which forbids flips of those spins whose left neighbor is 1. We focus…

Mathematical Physics · Physics 2013-09-04 Paul Chleboun , Alessandra Faggionato , Fabio Martinelli

We propose a scenario for the glass transition based on the cooperative nature of nucleation processes and entropic effects. The main point is the relation between the off-equilibrium energy dissipation and nucleation processes in…

Soft Condensed Matter · Physics 2009-11-07 A. Crisanti , F. Ritort

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 use computer simulations to study the relaxation dynamics of a model for oil-in-water microemulsion droplets linked with telechelic polymers. This system exhibits both gel and glass phases and we show that the competition between these…

Soft Condensed Matter · Physics 2015-05-29 Pinaki Chaudhuri , Pablo I. Hurtado , Ludovic Berthier , Walter Kob

A new master equation to mimic the dynamics of a collection of interacting random walkers in an open system is proposed and solved numerically.In this model, the random walkers interact through excluded volume interaction (single-file…

Soft Condensed Matter · Physics 2007-05-23 Prasanth P Jose , Biman Bagchi

In this note we discuss metastability in a long-but-finite range disordered model for the glass transition. We show that relaxation is dominated by configuration belonging to metastable states and associate an in principle computable…

Statistical Mechanics · Physics 2009-11-11 Silvio Franz

In this paper we present an exact study of the relaxation dynamics of the backgammon model. This is a model of a gas of particles in a discrete space which presents glassy phenomena as a result of {\it entropy barriers} in configuration…

Condensed Matter · Physics 2009-10-28 S. Franz , F. Ritort

The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is…

Strongly Correlated Electrons · Physics 2009-11-07 G. S. Atwal , N. W. Ashcroft

The East model has a dynamical phase transition between an active (fluid) and inactive (glass) state. We show that this phase transition generalizes to "softened" systems where constraint violations are allowed with small but finite…

Statistical Mechanics · Physics 2015-06-11 Yael S. Elmatad , Robert L. Jack

A hierarchy of timescales is ubiquitous in biological systems, where enzymatic reactions play an important role because they can hasten the relaxation to equilibrium. We introduced a statistical physics model of interacting spins that also…

Biological Physics · Physics 2020-01-15 Tetsuhiro S. Hatakeyama , Kunihiko Kaneko

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

Low-energy excitations play a key role in all condensed-matter systems, yet there is limited understanding of their nature in glasses, where they correspond to local rearrangements of groups of particles. Here we introduce an algorithm to…

Soft Condensed Matter · Physics 2024-08-27 Wencheng Ji , Massimo Pica Ciamarra , Matthieu Wyart

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

Understanding the dynamics of strongly interacting disordered quantum systems is one of the most challenging problems in modern science, due to features such as the breakdown of thermalization and the emergence of glassy phases of matter.…

Quantum Physics · Physics 2021-01-27 A. Signoles , T. Franz , R. Ferracini Alves , M. Gärttner , S. Whitlock , G. Zürn , M. Weidemüller
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