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We consider multiple time scales systems of stochastic differential equations with small noise in random environments. We prove a quenched large deviations principle with explicit characterization of the action functional. The random medium…

Probability · Mathematics 2015-04-23 Konstantinos Spiliopoulos

A novel method for analyzing the intermittent behavior of linear response data in aging systems is presented and applied to spin-glass thermoremanent magnetization (TRM) (Rodriguez et al. Phys. Rev. Lett. 91, 037203, 2003). The probability…

Disordered Systems and Neural Networks · Physics 2016-08-31 Paolo Sibani , G. F. Rodriguez , G. G. Kenning

The interpretation of experimental and numerical data describing off-equilibrium aging dynamics crucially depends on the connection between spontaneous and induced fluctuations. The hypothesis that linear response fluctuations are…

Statistical Mechanics · Physics 2008-03-18 Simon Christiansen , Paolo Sibani

We analyze record-breaking events in time series of continuous random variables that are subsequently discretized by rounding down to integer multiples of a discretization scale $\Delta>0$. Rounding leads to ties of an existing record,…

Data Analysis, Statistics and Probability · Physics 2015-06-05 G. Wergen , D. Volovik , S. Redner , J. Krug

Computation of radiative energy loss in a finite size dynamically screened QCD medium is a key ingredient for obtaining reliable predictions for jet quenching in ultra-relativistic heavy ion collisions. We develop a theory which allows…

Nuclear Theory · Physics 2009-11-18 Magdalena Djordjevic

We study numerically and analytically the quench dynamics of isolated many-body quantum systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of the survival…

Statistical Mechanics · Physics 2018-03-07 E. J. Torres-Herrera , Antonio M. García-García , Lea F. Santos

Colloids may be treated as `big atoms' so that they are good models for atomic and molecular systems. Colloidal hard disks are therefore good models for 2d materials and although their phase behavior is well characterized, rheology has…

Soft Condensed Matter · Physics 2024-06-19 Ian Williams , Erdal C. Oğuz , Hartmut Löwen , Wilson C. K. Poon , C. Patrick Royall

We present results of molecular dynamics simulations for two-dimensional repulsively interacting colloids driven by a one dimensional asymmetric and commensurate ratchet potential, switching on and off stochastically. This drives a…

Soft Condensed Matter · Physics 2018-05-17 Dipanjan Chakraborty , Debasish Chaudhuri

Aging refers to the property of two-time correlation functions to decay very slowly on (at least) two time scales. This phenomenon has gained recent attention due to experimental observations of the history dependent relaxation behavior in…

Popular Physics · Physics 2008-02-03 Stefan Boettcher

Many complex and disordered systems fail to reach equilibrium after they have been quenched or perturbed. Instead, they sluggishly relax toward equilibrium at an ever-slowing, history-dependent rate, a process termed physical aging. The…

Soft Condensed Matter · Physics 2023-12-12 Dor Shohat , Yaniv Friedman , Yoav Lahini

A fission decay of highly excited periodically driven compound nuclei is considered in the framework of Langevin approach. We have used residual-time distribution (RTD) as the tool for studying of dynamic features in a presence of periodic…

Chaotic Dynamics · Physics 2007-05-23 V. P. Berezovoj , Yu. L. Bolotin , O. P. Dzyubak , V. V. Yanovsky , A. V. Zhiglo

Several experiments show that crystalline solids deform in a bursty and intermittent fashion. Power-law distributed strain bursts in compression experiments of micron-sized samples, and acoustic emission energies from larger-scale…

Materials Science · Physics 2015-06-02 Markus Ovaska , Lasse Laurson , Mikko J. Alava

Isothermal simulational data for the 3D Edwards-Anderson spin glass are collected at several temperatures below $T_{\rm c}$ and, in analogy with a recent model of dense colloidal suspensions,interpreted in terms of clusters of contiguous…

Statistical Mechanics · Physics 2018-08-15 Paolo Sibani , Stefan Boettcher

Catastrophes of all kinds can be roughly defined as short duration-large amplitude events following and followed by long periods of "ripening". Major earthquakes surely belong to the class of 'catastrophic' events. Because of the space-time…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Randall D. Peters , Martine Le Berre , Yves Pomeau

Disordered materials under an imposed forcing can display creep and aging effects, accompanied by intermittent, spatially heterogeneous dynamics. We propose a unifying microscopic description of these phenomena, based on the notion that as…

Disordered Systems and Neural Networks · Physics 2024-09-27 Daniel J. Korchinski , Dor Shohat , Yoav Lahini , Matthieu Wyart

A record is an entry in a time series that is larger or smaller than all previous entries. If the time series consists of independent, identically distributed random variables with a superimposed linear trend, record events are positively…

Data Analysis, Statistics and Probability · Physics 2015-05-30 J. Franke , G. Wergen , J. Krug

Quench dynamics is an active area of study encompassing condensed matter physics and quantum information, with applications to cold-atomic gases and pump-probe spectroscopy of materials. Recent theoretical progress in studying quantum…

Quantum Gases · Physics 2018-05-23 Aditi Mitra

The local and global dynamics of a sheared granular medium are studied in a model experiment as a function of several macroscopic parameters. We observe that by changing the shear rate or the loading stiffness, the system crackles, with…

Soft Condensed Matter · Physics 2019-05-01 Aghil Abed Zadeh , Jonathan Barés , Robert Behringer

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…

We consider random walks in dynamic random environments which arise naturally as spatial embeddings of ancestral lineages in spatial locally regulated population models. In particular, as the main result, we prove the quenched central limit…

Probability · Mathematics 2024-03-15 Matthias Birkner , Andrej Depperschmidt , Timo Schlüter