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In this article we study a simple spin model which has a non-interacting Hamiltonian but constrained dynamics. The model, which is a simplification of a purely toplogical cellular model, displays glassy behaviour, involves activated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Lexie Davison , David Sherrington , Juan P. Garrahan , Arnaud Buhot

The spherical mean field approximation of a spin-1 model with p-body quenched disordered interaction is investigated. Depending on temperature and chemical potential the system is found in a paramagnetic or in a glassy phase and the…

Disordered Systems and Neural Networks · Physics 2012-03-06 Ulisse Ferrari , Luca Leuzzi

A sticky spheres model to describe slow dynamics of a non-equilibrium system is proposed. The dynamical slowing down is due to the presence of entropy barriers. We present an exact mean field analysis of the model and demonstrate that there…

Statistical Mechanics · Physics 2009-11-07 S. L. Narasimhan , P. S. R. Krishna , K. P. N. Murthy

The dynamics of a glass transition is discussed in terms of the motion of a particle in a one dimensional correlated random potential. An exact calculation of the velocity $V$ under an applied force $f$ demonstrates a variety of dynamic…

Condensed Matter · Physics 2009-10-28 Pierre Le Doussal , Valerii M. Vinokur

Dynamics of spin-glasses subjected to slow continuous changes of working enviroment such as slow changes of temperature or interaction bonds are studied based on scaling arguments and numerical simulations of continuous bond changes. Such…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hajime Yoshino , Petra E. Jonsson

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…

Statistical Mechanics · Physics 2019-06-26 Mikhail Vasin

The description of thermodynamic phase transitions in terms of percolation transitions of suitably defined clusters has a long tradition and boasts a number of important successes, the most prominent ones being in ferromagnetic lattice…

Disordered Systems and Neural Networks · Physics 2024-08-20 Lambert Münster , Martin Weigel

Existing theories explain spin glass transition in terms of a phase transition and order parameters, and assume the existence of a distinct spin glass phase. In addition to problems related to clarifying the nature of this phase, the common…

Disordered Systems and Neural Networks · Physics 2015-05-20 Kostya Trachenko

One of the most spectacular phenomena in physics in terms of dynamical range is the glass transition and the associated slowing down of flow and relaxation with decreasing temperature. That it occurs in many different liquids seems to call…

Statistical Mechanics · Physics 2015-06-25 G. Tarjus , S. A. Kivelson , Z. Nussinov , P. Viot

The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of control parameter, like temperature or pressure. A similar…

Statistical Mechanics · Physics 2013-05-06 Ludovic Berthier , Jorge Kurchan

We introduce a lattice spin model where frustration is due to multibody interactions rather than quenched disorder in the Hamiltonian. The system has a crystalline ground state and below the melting temperature displays a dynamic behaviour…

Statistical Mechanics · Physics 2009-11-07 Andrea Cavagna , Irene Giardina , Tomas Grigera

We discuss the need for discretization to evaluate the configurational entropy in a general model. We also discuss the prescription using restricted partition function formalism to study the stationary limit of metastable states. We…

Statistical Mechanics · Physics 2009-11-10 F. Semerianov , P. D. Gujrati

We study the statistical mechanics and the equilibrium dynamics of a system of classical Heisenberg spins with frustrated interactions on a $d$-dimensional simple hypercubic lattice, in the limit of infinite dimensionality $d \to \infty$.…

Disordered Systems and Neural Networks · Physics 2024-04-25 Achille Mauri , Mikhail I. Katsnelson

We use a simple mode-coupling approach to investigate glassy dynamics of partially pinned fluid systems. Our approach is different from the mode-coupling theory developed by Krakoviack [Phys. Rev. Lett. 94, 065703 (2005), Phys. Rev. E 84,…

Disordered Systems and Neural Networks · Physics 2015-06-04 Grzegorz Szamel , Elijah Flenner

The dynamical properties of the site frustrated percolation model are investigated and compared with those of glass forming liquids. When the density of the particles on the lattice becomes high enough, the dynamics of the model becomes…

Statistical Mechanics · Physics 2009-10-30 S. Scarpetta , A. de Candia , A. Coniglio

Molecular anisotropy plays an important role in the glass transition of a liquid. Recently, a novel bulk glass state has been discovered by optical microscopy experiments on suspensions of ellipsoidal colloids. 'Liquid glass' is a…

Soft Condensed Matter · Physics 2024-05-16 Mohammed Alhissi , Andreas Zumbusch , Matthias Fuchs

A spin-glass transition occurs both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the inverse power of the distance.…

Computational Physics · Physics 2015-05-19 L. Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

Glasses are solid materials whose constituent atoms are arranged in a disordered manner. The transition from a liquid to a glass remains one of the most poorly understood phenomena in condensed matter physics, and still no fully microscopic…

Statistical Mechanics · Physics 2015-11-12 Liesbeth M. C. Janssen , David R. Reichman

The Adam-Gibbs view of the glass transition relates the relaxation time to the configurational entropy, which goes continuously to zero at the so-called Kauzmann temperature. We examine this scenario in the context of a dimer model with an…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Greg Farrell , Jane' Kondev , Bulbul Chakraborty

The Glauber dynamics of disordered spin models with multi-spin interactions on sparse random graphs (Bethe lattices) is investigated. Such models undergo a dynamical glass transition upon decreasing the temperature or increasing the degree…

Disordered Systems and Neural Networks · Physics 2009-11-11 Andrea Montanari , Guilhem Semerjian