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The recent identification of a time and temperature dependent spin glass correlation length, $\xi({t_w},T)$, has consequences for samples of finite size. Qualitative arguments are given on this basis for departures from t/{t_w} scaling for…

Disordered Systems and Neural Networks · Physics 2007-05-23 Y. G. Joh , R. Orbach , G. G. Wood , J. Hammann , E. Vincent

We use molecular dynamics computer simulations to study the relaxation dynamics of a viscous melt of silica. The coherent and incoherent intermediate scattering functions, F_d(q,t) and F_s(q,t), show a crossover from a nearly exponential…

Statistical Mechanics · Physics 2009-11-07 Jurgen Horbach , Walter Kob

The correlation properties of the nonaffine elastic response in strongly disordered materials are investigated using the theory of correlated random matrices and supported by numerical models. While the nonaffine displacement field itself…

Disordered Systems and Neural Networks · Physics 2026-04-09 D. A. Conyuh , D. V. Babin , I. O. Raikov , Y. M. Beltukov

Using molecular dynamics simulations, we study dynamics of a model polymer melt composed of short chains with bead number N=10 in supercooled states. In quiescent conditions, the stress relaxation function $G(t)$ is calculated, which…

Soft Condensed Matter · Physics 2009-11-07 Ryoichi Yamamoto , Akira Onuki

We perform a numerical simulation of energy relaxation in three-dimensional electron glasses in the strongly localized regime at finite temperatures. We consider systems with no interactions, with long-range Coulomb interactions and with…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Perez-Garrido , M. Ortuno , A. Diaz-Sanchez , E. Cuevas

Theoretical analyses of the random energy model with only two states and its extension with a hierarchy of only two levels show that these models reproduce out-of-equilibrium phenomena observed in experiments of glassy materials; the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Mitsuhiro Kawasaki

Via molecular dynamics simulations of a generic glass former in the supercooled and normal liquid states, it is shown that spatial correlations of strain fluctuations exhibit a crossover from the well-established power-law $\sim…

Soft Condensed Matter · Physics 2020-01-29 Muhammad Hassani , Marian Bruns , Fathollah Varnik

Stretched exponential relaxation ($\exp{-(t/\tau)}^{\beta_K}$) is observed in a large variety of systems but has not been explained so far. Studying random walks on percolation clusters in curved spaces whose dimensions range from 2 to 7,…

Disordered Systems and Neural Networks · Physics 2009-10-31 Philippe Jund , Remi Jullien , Ian Campbell

We present large-scale molecular dynamics simulations for a coarse-grained model of polymer melts in equilibrium. From detailed Rouse mode analysis we show that the time-dependent relaxation of the autocorrelation function (ACF) of modes…

Soft Condensed Matter · Physics 2017-04-26 Hsiao-Ping Hsu , Kurt Kremer

Chaotic quantum systems at finite energy density are expected to act as their own heat baths, rapidly dephasing local quantum superpositions. We argue that in fact this dephasing is subexponential for chaotic dynamics with conservation laws…

We consider the effects of a quench to T = 0 on a spin system with axial next-next nearest neighbour Ising interactions, evolving under a conserved 3-spin flip dynamics. Such a model is motivated by the kinetics of stacking layers in…

Statistical Mechanics · Physics 2009-10-31 Dibyendu Das , Mustansir Barma

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

We consider quenches in non-conserved two-dimensional XY systems between any two temperatures below the Kosterlitz-Thouless transition. The evolving systems are defect free at coarse-grained scales, and can be exactly treated. Correlations…

Condensed Matter · Physics 2009-10-22 A. D. Rutenberg , A. J. Bray

We propose a model of a heterogeneous glass forming liquid and compute the low-temperature behavior of a tagged molecule moving within it. This model exhibits stretched-exponential decay of the wavenumber-dependent, self intermediate…

Materials Science · Physics 2009-11-13 J. S. Langer , S. Mukhopadhyay

Starting from a simple definition of stationary regime in first-order relaxation processes, we obtain that experimental results are to be fitted to a power-law when approaching the stationary limit. On the basis of this result we propose a…

Materials Science · Physics 2009-11-11 A. Fondado , J. Mira , J. Rivas

We investigate dynamics arising after an interaction quench in the quantum sine-Gordon model for a one-dimensional system initially prepared in a spatially inhomogeneous domain wall state. We study the time-evolution of the density, current…

Strongly Correlated Electrons · Physics 2015-05-20 Jarrett Lancaster , Emanuel Gull , Aditi Mitra

We present a thorough numerical analysis of the relaxational dynamics of the Sherrington-Kirkpatrick spherical model with an additive non-disordered perturbation for large but finite sizes $N$. In the thermodynamic limit and at low…

Disordered Systems and Neural Networks · Physics 2023-07-05 Pedro H. de Freitas Pimenta , Daniel A. Stariolo

Stretched exponential relaxation is a ubiquitous feature of homogeneous glasses. The stretched exponential decay function can be derived from the diffusion-trap model, which predicts certain critical values of the fractional stretching…

Soft Condensed Matter · Physics 2018-03-22 John C. Mauro , Yihong Z. Mauro

We consider by means of Monte Carlo simulations the relaxation in the paramagnetic phase of the anti-ferromagnetic Ising model on a triangular lattice and of a fully-frustrated Ising model on a square lattice. In contradistinction to…

Statistical Mechanics · Physics 2012-02-10 Jean-Charles Walter , Christophe Chatelain

The hydrodynamic part of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state has been calculated by using mode-coupling theory for a finite system with periodic boundary conditions. The existence of…

Statistical Mechanics · Physics 2015-06-23 J. Javier Brey , M. J. Ruiz-Montero
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