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We numerically study dynamical properties of the one-component Gaussian Core Model in the supercooled states. We find that nucleation is suppressed as density increases. Concomitantly the system exhibits glassy slow dynamics characterized…

Soft Condensed Matter · Physics 2015-05-19 Atsushi Ikeda , Kunimasa Miyazaki

In the spirit of topological entropy we introduce new complexity functions for general dynamical systems (namely groups and semigroups acting on closed manifolds) but with an emphasis on the dynamics induced on simplicial complexes. For…

Differential Geometry · Mathematics 2010-05-12 Daniel J. Pons , Pierre P. Romagnoli

We perform molecular-dynamics simulations of a molecular system in supercooled states for different values of inertia parameters to provide evidence that the long-time dynamics depends only on the equilibrium structure. This observation is…

Soft Condensed Matter · Physics 2009-11-10 S. -H. Chong , F. Sciortino

The paper introduces a general framework for derivation of continuum equations governing meso-scale dynamics of large particle systems. The balance equations for spatial averages such as density, linear momentum, and energy were previously…

Mathematical Physics · Physics 2011-09-28 Alexander Panchenko , Lyudmyla L. Barannyk , Kevin Cooper

The following properties are in the present literature associated with the behavior of super-cooled glass-forming liquids: faster than exponential growth of the relaxation time, dynamical heterogeneities, growing point-to-set correlation…

Statistical Mechanics · Physics 2011-01-25 Florent Krzakala , Lenka Zdeborová

We consider the dynamics of spin facilitated models of glasses in the non-equilibrium aging regime following a sudden quench from high to low temperatures. We briefly review known results obtained for the broad class of kinetically…

Statistical Mechanics · Physics 2009-11-13 Sebastien Leonard , Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. N. Timonin

We analyze the energy barriers that allow escapes from a given local minimum in a mean-field model of glasses. We perform this study by using the Kac-Rice method and computing the typical number of critical points of the energy function at…

Disordered Systems and Neural Networks · Physics 2018-09-17 Valentina Ros , Giulio Biroli , Chiara Cammarota

We review the use of kinetically constrained models (KCMs) for the study of dynamics in glassy systems. The characteristic feature of KCMs is that they have trivial, often non-interacting, equilibrium behaviour but interesting slow dynamics…

Statistical Mechanics · Physics 2007-05-23 Felix Ritort , Peter Sollich

Bulk metallic glasses (BMGs) are amorphous alloys with desirable mechanical properties and processing capabilities. To date, the design of new BMGs has largely employed empirical rules and trial-and-error experimental approaches. Ab initio…

Materials Science · Physics 2015-06-23 Kai Zhang , Yanhui Liu , Jan Schroers , Mark D. Shattuck , Corey S. O'Hern

We investigate active electrolytes within the mean-field level of description. The focus is on how the double-layer structure of passive, thermalized charges is affected by active dynamics of all constituting ions. One feature of active…

Soft Condensed Matter · Physics 2018-05-23 Derek Frydel , Rudolf Podgornik

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 show that the slowing of the dynamics in simulations of several model glass-forming liquids is equivalent to the hard-sphere glass transition in the low-pressure limit. In this limit, we find universal behavior of the relaxation time by…

Soft Condensed Matter · Physics 2009-12-17 Ning Xu , Thomas K. Haxton , Andrea J. Liu , Sidney R. Nagel

Simple statistical agglomeration models can provide a universal link between the local structure and the glass transition temperature in network glasses. We first stress the physical features of the models and the hypothesis made, and then…

Materials Science · Physics 2009-10-31 Matthieu Micoulaut

A model system with fast and slow processes is introduced. After integrating out the fast ones, the considered dynamics of the slow variables is exactly solvable. In statics the system undergoes a Kauzmann transition to a glassy state. The…

Statistical Mechanics · Physics 2007-05-23 Theo M. Nieuwenhuizen

A systematic study for a single-specie lattice Boltzmann model with frustrated-short range attractive and mid/long-range repulsive-interactions is presented. The equilibrium analysis is performed along the guidelines proposed by [X. Shan,…

Soft Condensed Matter · Physics 2014-02-26 M. Sbragaglia , R. Benzi , M. Bernaschi S. Succi

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

We introduce a coarse-grained model for atomic glass formers. Its elements are physically motivated local microscopic dynamical rules parameterized by observables. Results of the model are established and used to interpret the measured…

Statistical Mechanics · Physics 2009-11-10 Juan P. Garrahan , David Chandler

Glassy behavior is one of the main open problems in condensed matter physics. In this thesis, we approach the problem by studying spin-glasses and colloids, using several complementary strategies. From the point of view of model building,…

Disordered Systems and Neural Networks · Physics 2013-09-10 B. Seoane

We show that the dynamics of kinetically constrained models of glass formers takes place at a first-order coexistence line between active and inactive dynamical phases. We prove this by computing the large-deviation functions of suitable…

Statistical Mechanics · Physics 2009-11-13 J. P. Garrahan , R. L. Jack , V. Lecomte , E. Pitard , K. van Duijvendijk , F. van Wijland