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We describe spatio-temporal correlations and heterogeneities in a kinetically constrained glassy model, the Kob-Andersen model. The kinetic constraints of the model alone induce the existence of dynamic correlation lengths, that increase as…

Disordered Systems and Neural Networks · Physics 2009-11-10 Enzo Marinari , Estelle Pitard

Thermoremanent magnetization data for the 3D Edwards-Anderson spin glass are generated using the Waiting Time Method as simulational tool and interpreted using Record Dynamics. We verify that clusters of contiguous spins are overturned by…

Statistical Mechanics · Physics 2021-07-23 Paolo Sibani , Jacob Møller Kirketerp

We study by Monte Carlo simulation the compaction dynamics of hard dimers in 2D under the action of gravity, subjected to vertical and horizontal shaking, considering also the case in which a friction force acts for horizontal displacements…

Statistical Mechanics · Physics 2016-08-31 C. Fusco , A. Fasolino , P. Gallo , A. Petri , M. Rovere

Hydrogen adsorbates in graphene are interesting as they are not only strong Coulomb scatterers but they also induce a change in orbital hybridization of the carbon network from sp^2 into sp^3. This change increases the spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 M. Wojtaszek , I. J. Vera-Marun , T. Maassen , B. J. van Wees

We study thermally activated, low temperature equilibrium dynamics of elastic systems pinned by disorder using one loop functional renormalization group (FRG). Through a series of increasingly complete approximations, we investigate how the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leon Balents , Pierre Le Doussal

The principal theme of this paper is that anomalously slow, super-Arrhenius relaxations in glassy materials may be activated processes involving chains of molecular displacements. As pointed out in a preceding paper with A. Lemaitre, the…

Materials Science · Physics 2009-11-11 J. S. Langer

To elucidate slow dynamics in glassy materials, we introduce the {\it Figure-8 model} in which $N$ hard blocks undergo Brownian motion around a circuit in the shape of a figure-8. This system undergoes kinetic arrest at a critical packing…

Statistical Mechanics · Physics 2009-11-13 Prasanta Pal , Corey S. O'Hern , Jerzy Blawzdziewicz , Robin Stinchcombe

In the context of a classical example of glass-formation in 3-dimensions we exemplify how to construct a statistical mechanical theory of the glass transition. At the heart of the approach is a simple criterion for verifying a proper choice…

Statistical Mechanics · Physics 2009-11-13 Edan Lerner , Itamar Procaccia , Jacques Zylberg

We have performed AC susceptibility and DC magnetic relaxation measurements on the spin ice system Dy$_2$Ti$_2$O$_7$ down to 0.08 K. The relaxation time of the magnetization has been estimated below 2 K down to 0.08 K. The spin dynamics of…

Strongly Correlated Electrons · Physics 2012-02-07 K. Matsuhira , C. Paulsen , E. Lhotel , C. Sekine , Z. Hiroi , S. Takagi

The dynamical behaviours of a kinetically constrained spin model (Fredrickson-Andersen model) on a Bethe lattice are investigated by a perturbation analysis that provides exact final states above the nonergodic transition point. It is…

Statistical Mechanics · Physics 2015-05-19 Hiroki Ohta

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

Statistical Mechanics · Physics 2009-10-30 M. E. J. Newman , Cristopher Moore

The finite temperature dynamics of the Dyson hierarchical classical spins models is studied via real-space renormalization rules concerning the couplings and the relaxation times. For the ferromagnetic model involving Long-Ranged coupling…

Disordered Systems and Neural Networks · Physics 2016-04-14 Cecile Monthus

We consider a continuous time random walk on the two-dimensional discrete torus, whose motion is governed by the discrete Gaussian free field on the corresponding box acting as a potential. More precisely, at any vertex the walk waits an…

Probability · Mathematics 2018-06-19 Aser Cortines , Julian Gold , Oren Louidor

We study dynamical heterogeneity and growing dynamical lengthscales in two kinetically constrained models, namely, the one- and two-vacancy assisted triangular lattice gases. One of the models is a strong glassformer and the other is a…

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

Here we study the relaxation of a chain consisting of 3 masses joined by non-linear springs and periodic conditions when the stiffness is weakened. This system, when expressed in their normal coordinates, yields a softened Henon-Heiles…

Soft Condensed Matter · Physics 2018-04-11 J. Quetzalcoatl Toledo-Marin , Gerardo Naumis

We investigate the dynamics of kinetically constrained models of glass formers by analysing the statistics of trajectories of the dynamics, or histories, using large deviation function methods. We show that, in general, these models exhibit…

Statistical Mechanics · Physics 2009-01-21 J. P. Garrahan , R. L. Jack , V. Lecomte , E. Pitard , K. van Duijvendijk , F. van Wijland

This paper reports numerical studies of a compressible version of the Ising spin glass in two dimensions. Compressibility is introduced by adding a term that couples the spin-spin interactions and local lattice deformations to the standard…

Disordered Systems and Neural Networks · Physics 2013-05-29 Adam H. Marshall

We present simulation results for the dynamics of a schematic model based on the frustration-limited domain picture of glass-forming liquids. These results are compared with approximate theoretical predictions analogous to those commonly…

Statistical Mechanics · Physics 2009-11-10 Phillip L. Geissler , David R. Reichman

We study the dynamics of hardcore spin models on the square and triangular lattice, constructed by analogy to hard spheres, where the translational degrees of freedom of the spheres are replaced by orientational degrees of freedom of spins…

Statistical Mechanics · Physics 2023-06-02 Benedikt Placke , Grace M. Sommers , S. L. Sondhi , Roderich Moessner

We carry out simulated annealing and employ a generalized Kibble-Zurek scaling hypothesis to study the 2D Ising spin glass with normal-distributed couplings. The system has an equilibrium glass transition at temperature $T=0$. From a…

Statistical Mechanics · Physics 2017-11-08 Na Xu , Kai-Hsin Wu , Shanon J. Rubin , Ying-Jer Kao , Anders W. Sandvik
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