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Ageing in systems without detailed balance is studied in bosonic contact and pair-contact processes with Levy diffusion. In the ageing regime, the dynamical scaling of the two-time correlation function and two-time response function is…

Statistical Mechanics · Physics 2009-09-22 Xavier Durang , Malte Henkel

Using molecular dynamics simulations we study the out of equilibrium dynamic correlations in a model glass-forming liquid. The system is quenched from a high temperature to a temperature below its glass transition temperature and the decay…

Statistical Mechanics · Physics 2009-10-30 Walter Kob , Jean-Louis Barrat

We study the dynamic behaviour of concentrated colloidal hard spheres using Time Resolved Correlation, a light scattering technique that can detect the slow evolution of the dynamics in out-of-equilibrium systems. Surprisingly, equilibrium…

Soft Condensed Matter · Physics 2013-05-29 Djamel El Masri , Matteo Pierno , Ludovic Berthier , Luca Cipelletti

Ageing phenomena are observed in a large variety of dynamical systems exhibiting a slow relaxation from a non-equilibrium initial state. Ageing can be characterised in terms of the linear response R(t,s) at time t to a local perturbation at…

Statistical Mechanics · Physics 2007-11-08 Haye Hinrichsen

Low-dimensional, complex systems are often characterized by logarithmically slow dynamics. We study the generic motion of a labeled particle in an ensemble of identical diffusing particles with hardcore interactions in a strongly…

Multitime correlation functions provide useful probes for the ensembles of trajectories underlying the stochastic dynamics of complex systems. These can be obtained by measuring their optical response to sequences of ultrashort optical…

Soft Condensed Matter · Physics 2009-11-13 Frantisek Sanda , Shaul Mukamel

We perform extensive simulations of a binary mixture Lennard-Jones system subjected to a temperature jump in order to study the time evolution of fluctuations during aging. Analyzing data from 1500 different aging realizations, we calculate…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. Saika-Voivod , F. Sciortino

In this paper, we study the dynamics of a linear control system with given state feedback control law in the presence of fast periodic sampling at temporal frequency $1/\delta$ ($0 < \delta \ll 1$), together with small white noise…

Probability · Mathematics 2021-10-15 Shivam Dhama , Chetan D. Pahlajani

Linear response functions of aging systems are routinely interpreted using the scaling variable $t_{\rm obs}/t_{\rm w}^\mu$,where $t_{\rm w}$ is the time at which the field conjugated to the response is turned on or off, and where $t_{\rm…

Statistical Mechanics · Physics 2011-01-10 Paolo Sibani , Gregory G. Kenning

A variety of physical, social and biological systems generate complex fluctuations with correlations across multiple time scales. In physiologic systems, these long-range correlations are altered with disease and aging. Such correlated…

Other Quantitative Biology · Quantitative Biology 2009-11-10 Luis A. N. Amaral , Albert Diaz-Guilera , Andre A. Moreira , Ary L. Goldberger , Lewis A. Lipsitz

The long-time dynamics of the $d$-dimensional spherical model with a non-conserved order parameter and quenched from an initial state with long-range correlations is studied through the exact calculation of the two-time autocorrelation and…

Statistical Mechanics · Physics 2008-11-26 Alan Picone , Malte Henkel

We investigate the dynamics following a global parameter quench for two 1D models with variable-range power-law interactions: a long-range transverse Ising model, which has recently been realised in chains of trapped ions, and a long-range…

We study the dynamics of the one dimensional disordered trap model presenting a broad distribution of trapping times $p(\tau) \sim 1/\tau^{1+\mu}$, when an external force is applied from the very beginning at $t=0$, or only after a waiting…

Condensed Matter · Physics 2009-11-10 Cecile Monthus

We study the effect of rapid quench to zero temperature in a model with competing interactions, evolving through conserved spin dynamics. In a certain regime of model parameters, we find that the model belongs to the broader class of…

Soft Condensed Matter · Physics 2020-08-12 Vaibhav Gupta , Saroj Kumar Nandi , Mustansir Barma

Intermittent transitions, associated with critical dynamics and characterized by power-law distributions, are commonly observed during sleep. These critical behaviors are evident at the microscopic level through neuronal avalanches and at…

Physics and Society · Physics 2025-03-28 Xiyun Zhang , Bojun Wang , Hongjie Bi

We consider a simple classification problem to show that the dynamics of finite-width Deep Neural Networks in the underparametrized regime gives rise to effects similar to those associated with glassy systems, namely a slow evolution of the…

Disordered Systems and Neural Networks · Physics 2022-09-07 Carolina Herrera Segura , Edison Montoya , Diego Tapias

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

We study the out-of-equilibrium large time dynamics of a gaussian polymer chain in a quenched random potential. The dynamics studied is a simple Langevin dynamics commonly referred to as the Rouse model. The equations for the two-time…

Disordered Systems and Neural Networks · Physics 2009-11-11 Yadin Y. Goldschmidt

We report an extensive and systematic investigation of the multi-point and multi-time correlation functions to reveal the spatio-temporal structures of dynamic heterogeneities in glass-forming liquids. Molecular dynamics simulations are…

Soft Condensed Matter · Physics 2013-01-04 Kang Kim , Shinji Saito

We study the off-equilibrium dynamics of the Edwards-Anderson spin glass in four dimensions under the influence of a non-hamiltonian perturbation. We find that for small asymmetry the model behaves as the hamiltonian one, while for large…

Disordered Systems and Neural Networks · Physics 2009-10-30 Enzo Marinari , Daniel A Stariolo
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