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We study the orientational dynamics of infinitely thin hard rods of length L, with the centers-of-mass fixed on a simple cubic lattice with lattice constant a.We approximate the influence of the surrounding rods onto dynamics of a pair of…

Soft Condensed Matter · Physics 2009-11-07 Rolf Schilling , Grzegorz Szamel

We give evidence of a clear structural signature of the glass transition, in terms of a static correlation length with the same dependence on the system size which is typical of critical phenomena. Our approach is to introduce an external,…

Statistical Mechanics · Physics 2010-06-25 Majid Mosayebi , Emanuela Del Gado , Patrick Ilg , Hans Christian Ottinger

A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical density, rho_c, ergodicity is broken due to the appearance of an…

Statistical Mechanics · Physics 2009-11-11 Cristina Toninelli , Giulio Biroli , Daniel S. Fisher

We derive a microscopic equation of motion for the dynamical orientational correlators of molecular crystals. Our approach is based upon mode coupling theory. Compared to liquids we find four main differences: (i) the memory kernel contains…

Soft Condensed Matter · Physics 2009-11-10 Michael Ricker , Rolf Schilling

We present simulations of the motion of a single rigid rod in a disordered static 2d-array of disk-like obstacles. The rotational, $D_{\rm R}$, and center-of-mass translational, $D_{\rm CM}$, diffusion constants are calculated for a wide…

Disordered Systems and Neural Networks · Physics 2009-11-10 Angel J. Moreno , Walter Kob

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

The most puzzling aspect of the glass transition observed in laboratory is an apparent decoupling of dynamics from structure. In this paper we recount the implication of various theories of glass transition for the static correlation length…

Disordered Systems and Neural Networks · Physics 2017-02-08 S. Davatolhagh

We show that the relaxation dynamics near a glass transition with continuous ergodicity breaking can be endowed with a geometric interpretation based on percolation theory. At mean-field level this approach is consistent with the…

Statistical Mechanics · Physics 2014-09-05 Jeferson J. Arenzon , Antonio Coniglio , Annalisa Fierro , Mauro Sellitto

When a liquid is cooled below its melting temperature, if crystallization is avoided, it forms a glass. This phenomenon, called glass transition, is characterized by a marked increase of viscosity, about 14 orders of magnitude, in a narrow…

Disordered Systems and Neural Networks · Physics 2008-08-23 Simone Capaccioli , Giancarlo Ruocco , Francesco Zamponi

We present molecular dynamics simulations of the motion of a single rigid rod in a disordered static 2d-array of disk-like obstacles. Two different configurations have been used for the latter: A completely random one, and which thus has an…

Soft Condensed Matter · Physics 2009-11-11 Angel J. Moreno , Walter Kob

We use Brownian dynamics simulations of a binary mixture of highly charged spherical colloidal particles to illustrate many of the implications of the Random First Order Transition (RFOT) theory (PRA 40 1045 (1989)), which is the only…

Statistical Mechanics · Physics 2015-06-12 Hongsuk Kang , T. R. Kirkpatrick , D. Thirumalai

We use event driven simulations to analyze glassy dynamics as a function of density and energy dissipation in a two-dimensional bidisperse granular fluid under stationary conditions. Clear signatures of a glass transition are identified,…

Statistical Mechanics · Physics 2011-10-05 Iraj Gholami , Andrea Fiege , Annette Zippelius

A model-free theoretical framework for a phenomenological description of spin-lattice relaxation by anomalous translational diffusion in inhomogeneous systems based on the fractional diffusion equation is developed. The dependence of the…

Soft Condensed Matter · Physics 2009-11-10 A. E. Sitnitsky , G. G. Pimenov , A. V. Anisimov

The glass transition can simply be viewed as the point at which the viscosity of a structurally disordered liquid reaches 10^{13} Poise [1]. This definition is operational but it sidesteps fundamental controversies about the glass: Is the…

Statistical Mechanics · Physics 2017-05-10 Ludger Santen , Werner Krauth

We review the Random First Order Transition Theory of the glass transition, emphasizing the experimental tests of the theory. Many distinct phenomena are quantitatively predicted or explained by the theory, both above and below the glass…

Disordered Systems and Neural Networks · Physics 2015-06-25 Vassiliy Lubchenko , P. G. Wolynes

Probing dynamic and static correlation in glass-forming supercooled liquids has been a challenge for decades in spite of extensive research. Dynamic correlation which manifests itself as Dynamic Heterogeneity is ubiquitous in a vast variety…

Statistical Mechanics · Physics 2021-09-22 Anoop Mutneja , Smarajit Karmakar

The random first-order transition (RFOT) theory of the structural glass transition is reviewed in a pedagogical fashion. The rigidity that emerges in crystals and glassy liquids is of the same fundamental origin. In both cases, it…

Disordered Systems and Neural Networks · Physics 2015-11-20 Vassiliy Lubchenko

The effect of disorder on flux lattices at equilibrium is studied quantitatively in the absence of free dislocations using both the Gaussian variational method and the renormalization group. Our results for the mean square relative…

Condensed Matter · Physics 2016-08-31 T. Giamarchi , P. Le Doussal

We introduce a three-dimensional lattice gas model to study the glass transition. In this model the interactions come from the excluded volume and particles have five arms with an asymmetrical shape, which results in geometric frustration…

Statistical Mechanics · Physics 2007-05-23 Anastasio Díaz-Sánchez

We study dynamical heterogeneity and glassy dynamics in a kinetically constrained lattice gas model which has both translational and rotational degrees of freedom. We find that the rotational diffusion constant tracks the structural…

Soft Condensed Matter · Physics 2015-06-25 Albert C. Pan
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