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Multispeckle x-ray photon correlation spectroscopy was employed to characterize the slow dynamics of a colloidal suspension formed by highly-charged, nanometer-sized disks. At scattering wave vectors $q$ corresponding to interparticle…

We investigate the problem of effusion of particles initially confined in a finite one-dimensional box of size $L$. We study both passive as well active scenarios, involving non-interacting diffusive particles and run-and-tumble particles,…

统计力学 · 物理学 2025-02-03 Arup Biswas , Stephy Jose , Arnab Pal , Kabir Ramola

We extend a generic class of systems which have previously been shown to spontaneously develop scaling (power law) distributions of their elementary degrees of freedom. While the previous systems were linear and exploded exponentially for…

adap-org · 物理学 2009-10-28 S. Solomon , M. Levy

We study spectral densities for systems on lattices, which, at a phase transition display, power-law spatial correlations. Constructing the spatial correlation matrix we prove that its eigenvalue density shows a power law that can be…

数学物理 · 物理学 2014-11-24 Vinayak , T. Prosen , B. Buca , T. H. Seligman

Many human-related activities show power-law decaying interevent time distribution with exponents usually varying between 1 and 2. We study a simple task-queuing model, which produces bursty time series due to the nontrivial dynamics of the…

物理与社会 · 物理学 2013-10-22 Szabolcs Vajna , Bálint Tóth , János Kertész

Statically indeterminate systems are experimentally demonstrated to be in fact dynamical at the microscopic scale. Take the classic ladder-wall problem, for instance. Depending on the Young's modulus of the wall, it may take up to twenty…

软凝聚态物质 · 物理学 2022-11-09 Jr-Jiun Lin , Chi-Chun Cheng , Yu-Chuan Cheng , Jih-Chiang Tsai , Tzay-Ming Hong

Long-term temporal correlations in time series in a form of an event sequence have been characterized using an autocorrelation function (ACF) that often shows a power-law decaying behavior. Such scaling behavior has been mainly accounted…

数据分析、统计与概率 · 物理学 2024-08-14 Hang-Hyun Jo , Tibebe Birhanu , Naoki Masuda

We study toy aging processes in hierarchically decomposed phase spaces where the equilibrium probability distributions are multifractal. We found that the an auto-correlation function, survival-return probability, shows crossover behavior…

无序系统与神经网络 · 物理学 2016-08-31 Hajime Yoshino

We study by theoretical analysis and by direct numerical simulation the dynamics of a wide class of asynchronous stochastic systems composed of many autocatalytic degrees of freedom. We describe the generic emergence of truncated power laws…

统计力学 · 物理学 2009-10-31 Zhi-Feng Huang , Sorin Solomon

The growth of the spin-glass correlation length has been measured as a function of the waiting time $t_{\mathrm{w}}$ on a single crystal of CuMn (6 at.\%), reaching values $\xi\sim 150$ nm, larger than any other glassy correlation-length…

无序系统与神经网络 · 物理学 2020-02-19 Q. Zhai , V. Martin-Mayor , D. L. Schlagel , G. G. Kenning , R. L. Orbach

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

统计力学 · 物理学 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

Once the problem of ensemble averaging is removed, correlations between the response of a single molecule to an external driving field $F$, with the history of fluctuations of the particle, become detectable. Exact analytical theory for the…

统计力学 · 物理学 2009-11-11 Eli Barkai

We present a detailed study of simple `tree' models for off equilibrium dynamics and aging in glassy systems. The simplest tree describes the landscape of a random energy model, whereas multifurcating trees occur in the solution of the…

凝聚态物理 · 物理学 2009-10-22 J-P. Bouchaud , D. S. Dean

The influence of the noise on the long-time ageing dynamics of a quenched ferromagnetic spin system with a non-conserved order parameter and described through a Langevin equation with a thermal noise term and a disordered initial state is…

统计力学 · 物理学 2007-05-23 Alan Picone , Malte Henkel

We investigate the dynamic relaxation of random walks on temporal networks by focusing in the recently proposed activity driven model [Perra \textit{et al.} Sci. Rep. srep00469 (2012)]. For realistic activity distributions with a power-law…

统计力学 · 物理学 2014-11-18 Angélica S. Mata , Romualdo Pastor-Satorras

We present a new analytic approach to describe large scale structure formation in the mildly non-linear regime. The central object of the method is the time-dependent probability distribution function generating correlators of the…

宇宙学与河外天体物理 · 物理学 2016-08-09 Diego Blas , Mathias Garny , Mikhail M. Ivanov , Sergey Sibiryakov

We examine the time dependent defect fluctuations and lifetimes for a bidisperse disordered assembly of Yukawa particles. At high temperatures, the noise spectrum of fluctuations is white and the coordination number lifetimes have a…

统计力学 · 物理学 2009-11-11 C. Reichhardt , C. J. Olson Reichhardt

We consider dynamic random trees constructed using an attachment function $f : \mathbb{N} \to \mathbb{R}_+$ where, at each step of the evolution, a new vertex attaches to an existing vertex $v$ in the current tree with probability…

概率论 · 数学 2022-08-17 Sayan Banerjee , Shankar Bhamidi , Iain Carmichael

Physical aging is one of the non-equilibrium phenomena where physical properties change over time due to structural relaxation. Aging in spin glass systems has been explained by a trap model on the temperature-independent energy landscape.…

统计力学 · 物理学 2025-09-08 Ayata Ueno , Tomoko Mizuguchi , Takashi Odagaki

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…

无序系统与神经网络 · 物理学 2007-05-23 Y. G. Joh , R. Orbach , G. G. Wood , J. Hammann , E. Vincent