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We propose a finite-size scaling analysis of binary stochastic processes $X(t)\in \{0,1\}$ based on the second moment correlation length $\xi$ for the autocorrelation function $C(t)$. The purpose is to clarify the critical properties and…

Statistical Mechanics · Physics 2015-06-12 Shintaro Mori , Masato Hisakado

Many dense magnetic nanoparticle systems exhibit slow dynamics which is qualitatively indistinguishable from that observed in atomic spin glasses and its origin is attributed to dipole interactions among particle moments (or superspins).…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Sasaki , P. E. Jönsson , H. Takayama , H. Mamiya

Complex systems having metastable elements often demonstrate nearly log-time relaxations and a kind of aging: repeated stimuli weaken the system's relaxational response. Granular matter is known to exhibit a wealth of such behaviors, for…

Soft Condensed Matter · Physics 2014-06-16 V. Y. Zaitsev , V. E. Gusev , V. Tournat , P. Richard

Working within the Nonequilibrium Green's Function (NEGF) formalism, a formula for the two-time current correlation function is derived for the case of transport through a nanojunction in response to an arbitrary time-dependent bias. The…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Michael Ridley , Angus MacKinnon , Lev Kantorovich

High-energy electrons that are used as a probe of specimens in transmission electron microscopy exhibit a complex and rich behavior due to multiple scattering. Among other things, understanding the dynamical effects is needed for a…

Computational Physics · Physics 2018-11-26 Tadas Paulauskas , Robert F. Klie

The effect of power-law aging on a contact process is studied by simulation and using a mean-field approach. We find that the system may approach its stationary state in a nontrivial, nonmonotonous way. For the particular value of the aging…

Statistical Mechanics · Physics 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

We study time series produced by the blinking quantum dots, by means of an aging experiment, and we examine the results of this experiment in the light of two distinct approaches to complexity, renewal and slow modulation. We find that the…

Statistical Mechanics · Physics 2016-08-31 Simone Bianco , Paolo Grigolini , Paolo Paradisi

The parameters of the Bose-Einstein correlation function may obey an {\it $M_t$-scaling}, as observed in $S + Pb$ and $Pb + Pb$ reactions at CERN SPS. This $M_t$-scaling implies that the Bose-Einstein correlation functions view only a small…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Csorgo , B. Lorstad

An unexpected dichotomic long time aging behaviour is observed in a glassy colloidal clay suspension investigated by X-Ray Photon Correlation Spectroscopy and Dynamic Light Scattering. In the long time aging regime the intensity…

Soft Condensed Matter · Physics 2023-08-29 Roberta Angelini , Laura Zulian , Andrei Fluerasu , Anders Madsen , Giancarlo Ruocco , Barbara Ruzicka

The violation of the Fluctuation-Dissipation Theorem (FDT) in a two-dimensional Ising model with both ferromagnetic exchange and antiferromagnetic dipolar interactions is established and investigated via Monte Carlo simulations. Through the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Daniel A. Stariolo , Sergio A. Cannas

We investigate the behaviour of the response function in the one dimensional trap model using scaling arguments that we confirm by numerical simulations. We study the average position of the random walk at time tw+t given that a small bias…

Disordered Systems and Neural Networks · Physics 2009-11-10 E. M. Bertin , J. -P. Bouchaud

The state of the atmosphere is governed by the classical laws of fluid motion and exhibits correlations in various spatial and temporal scales. These correlations are crucial to understand the short and long term trends in climate. Cirrus…

Statistical Mechanics · Physics 2015-06-24 K. Ivanova , T. P. Ackerman , E. E. Clothiaux , P. Ch. Ivanov , H. E. Stanley , M. Ausloos

Crystal growth and crystal coalescence processes in supercooled systems strongly depend on the concentration of crystallization centers. We perform atomistic dynamics simulations of the crystallization process in the ultrathin metallic film…

Materials Science · Physics 2019-09-04 Bulat N. Galimzyanov , Vladimir I. Ladyanov , Anatolii V. Mokshin

We present a detailed numerical study of dynamical heterogeneities in the aging regime of a simple binary Lennard-Jones glass former. For most waiting times t_w and final times t, both the dynamical susceptibility \chi_4(t,t_w) and the…

Disordered Systems and Neural Networks · Physics 2009-01-14 Azita Parsaeian , Horacio E. Castillo

Interactions in nature can be described by their coupling strength, direction of coupling and coupling function. The coupling strength and directionality are relatively well understood and studied, at least for two interacting systems,…

Adaptation and Self-Organizing Systems · Physics 2017-02-09 Tomislav Stankovski

We study time averages of single particle trajectories in scale free anomalous diffusion processes, in which the measurement starts at some time t_a>0 after initiation of the process at the time origin, t=0. Using ageing renewal theory we…

Statistical Mechanics · Physics 2012-04-05 Johannes Schulz , Eli Barkai , Ralf Metzler

Colloidal gel aging is investigated using very long runs of brownian dynamics simulations. The Asakura Oosawa description of the depletion interaction is used to model a simple colloid polymer mixture. Several regimes are identified during…

Soft Condensed Matter · Physics 2009-11-07 Rodolphe J. M. d'Arjuzon , William Frith , John R. Melrose

We show that a coalescence equation exhibits a variety of critical behaviors, depending on the initial condition. This equation was introduced a few years ago to understand a toy model {studied by Derrida and Retaux to mimic} the depinning…

Mathematical Physics · Physics 2020-06-24 Xinxing Chen , Victor Dagard , Bernard Derrida , Zhan Shi

Using RG we investigate the non-equilibrium relaxation of the (Cardy-Ostlund) 2D random Sine-Gordon model, which describes pinned arrays of lines. Its statics exhibits a marginal ($\theta=0$) glass phase for $T<T_g$ described by a line of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Pierre Le Doussal

Time-dependent response and correlation functions are studied in random quantum systems composed of infinitely many parts without mutual interaction and defined with statistically independent random matrices. The latter are taken within the…

Statistical Mechanics · Physics 2025-12-17 Sudhir Ranjan Jain , Pierre Gaspard