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For many externally driven complex systems neither the noisy driving force, nor the internal dynamics are a priori known. Here we focus on systems for which the time dependent activity of a large number of components can be monitored,…

统计力学 · 物理学 2008-12-02 Zoltan Eisler , Janos Kertesz , Soon-Hyung Yook , Albert-Laszlo Barabasi

Symmetries represent a fundamental constraint for physical systems and relevant new phenomena often emerge as a consequence of their breaking. An important example is provided by space- and time-translational invariance in statistical…

统计力学 · 物理学 2012-12-21 Matteo Marcuzzi , Andrea Gambassi , Michel Pleimling

The description of the Internet topology is an important open problem, recently tackled with the introduction of scale-free networks. In this paper we focus on the topological and dynamical properties of real Internet maps in a three years…

统计力学 · 物理学 2009-11-07 Romualdo Pastor-Satorras , Alexei Vazquez , Alessandro Vespignani

Spatially extended population dynamics models that incorporate intrinsic noise serve as case studies for the role of fluctuations and correlations in biological systems. Including spatial structure and stochastic noise in predator-prey…

统计力学 · 物理学 2018-01-09 Ulrich Dobramysl , Mauro Mobilia , Michel Pleimling , Uwe C. Täuber

We discuss relaxation and aging processes in the one- and two-dimensional $ABC$ models. In these driven diffusive systems of three particle types, biased exchanges in one direction yield a coarsening process characterized in the long time…

统计力学 · 物理学 2015-05-13 Mark O. Brown , Robert H. Galyean , Xiangwen Wang , Michel Pleimling

Until very recently, the asymptotic occurrence of intrinsic anomalous scaling has been expected to require concomitant effects for kinetically rough interfaces, like quenched disorder or morphological instabilities. However, counterexamples…

统计力学 · 物理学 2024-05-15 E. Rodriguez-Fernandez , S. N. Santalla , M. Castro , R. Cuerno

In this work, the out-of-equilibrium dynamics of the Kardar-Parisi-Zhang equation in (1+1) dimensions is studied by means of numerical simulations, focussing on the two-times evolution of an interface in the absence of any disordered…

统计力学 · 物理学 2009-11-13 Sebastian Bustingorry

We introduce and investigate the stochastic dynamics of the density of local extrema (minima and maxima) of non-equilibrium surface fluctuations. We give a number of exact, analytic results for interface fluctuations described by linear…

统计力学 · 物理学 2009-10-31 Z. Toroczkai , G. Korniss , S. Das Sarma , R. K. P. Zia

The domain growth processes originating from noise-induced nonequilibrium phase transitions are analyzed, both for non-conserved and conserved dynamics. The existence of a dynamical scaling regime is established in the two cases, and the…

凝聚态物理 · 物理学 2009-10-31 M. Ibanes , J. Garcia-Ojalvo , R. Toral , J. M. Sancho

After a zero temperature quench, we study the kinetics of the one-dimensional Ising model with long-range interactions between spins at distance $r$ decaying as $r^{-\alpha}$, with $\alpha \le 1$. As shown in our recent study [SciPost Phys…

统计力学 · 物理学 2023-08-09 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Paolo Politi

The Chapter is devoted to reviewing the main features of aging in non disordered systems relaxing via domain growth, after an istantaneous temperature quench. Using the autocorrelation and autoresponse functions to gauge the deviation from…

统计力学 · 物理学 2014-12-16 Marco Zannetti

Cellular populations such as avascular tumors and microbial biofilms may "invade" or grow into surrounding populations. The invading population is often comprised of a heterogeneous mixture of cells with varying growth rates. The population…

生物物理 · 物理学 2025-12-05 Clarisa Castillo , Maxim O. Lavrentovich

A stochastic differential equation for the plasma density dynamics is derived, consistent with the experimentally measured distribution and the theoretical quadratic nonlinearity. The plasma density is driven by a multiplicative Wiener…

等离子体物理 · 物理学 2012-10-05 A. Mekkaoui

We study the nonequilibrium aging dynamics in a system of quasi-hard spheres at large density by means of computer simulations. We find that, after a sudden quench to large density, the relaxation time initially increases exponentially with…

统计力学 · 物理学 2010-10-01 Djamel El Masri , Ludovic Berthier , Luca Cipelletti

We report on experimental measurements of the growth of regular domains evolving from an irregular pattern in electroconvection. The late-time growth of the domains is consistent with the size of the domains scaling as $t^n$. We use two…

软凝聚态物质 · 物理学 2009-10-31 Lynne Purvis , Michael Dennin

Interfaces in tissues are ubiquitous, both between tissue and environment as well as between populations of different cell types. The propagation of an interface can be driven mechanically. % e.g. by a difference in the respective…

组织与器官 · 定量生物学 2024-06-03 Tobias Büscher , Angel L. Diez , Gerhard Gompper , Jens Elgeti

We study domain growth in a nonlinear optical system useful to explore different scenarios that might occur in systems which do not relax to thermodynamic equilibrium. Domains correspond to equivalent states of different circular…

patt-sol · 物理学 2009-10-31 R. Gallego , M. San Miguel , R. Toral

We investigate the late coarsening stages of one dimensional adsorption processes with diffusional relaxation. The nonequilibrium domain size distribution is studied by means of the field theory associated to the stochastic evolution. An…

统计力学 · 物理学 2007-05-23 M. D. Grynberg

We address the problem of the microscopic reorganization of a granular medium under a compaction process in the framework of Tetris-like models. We point out the existence of regions of spatial organization which we call domains, and study…

统计力学 · 物理学 2009-11-07 A. Baldassarri , S. Krishnamurthy , V. Loreto , S. Roux

Results of extensive Monte-Carlo simulations that investigate the out-of-equilibrium dynamics of the one-dimensional Ising spin glass model with a Gaussian bond-distribution are presented. At low enough temperatures a typical (interrupted)…

凝聚态物理 · 物理学 2007-05-23 H. Rieger J. Kisker , M. Schreckenberg