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In disordered elastic systems, driven by displacing a parabolic confining potential adiabatically slowly, all advance of the system is in bursts, termed avalanches. Avalanches have a finite extension in time, which is much smaller than the…

无序系统与神经网络 · 物理学 2017-12-20 Zhaoxuan Zhu , Kay Joerg Wiese

Although the paradigm of criticality is centred around spatial correlations and their anomalous scaling, not many studies of Self-Organised Criticality (SOC) focus on spatial correlations. Often, integrated observables, such as avalanche…

统计力学 · 物理学 2017-08-01 Gary Willis , Gunnar Pruessner

Recent experimental results on the arrival direction of high-energy cosmic rays have motivated studies to understand their propagating environment. The observed anisotropy is shaped by interstellar and local magnetic fields. In coherent…

高能天体物理现象 · 物理学 2025-10-10 Vanessa López-Barquero , Paolo Desiati

We study analytically giant fluctuations and temporal intermittency in a stochastic one-dimensional model with diffusion and aggregation of masses in the bulk, along with influx of single particles and outflux of aggregates at the…

统计力学 · 物理学 2015-06-17 Himani Sachdeva , Mustansir Barma

As a result of resonance overlap, planetary systems can exhibit chaotic motion. Planetary chaos has been studied extensively in the Hamiltonian framework, however, the presence of chaotic motion in systems where dissipative effects are…

地球与行星天体物理 · 物理学 2015-05-28 Konstantin Batygin , Alessandro Morbidelli

An investigation of the mesoscopic dynamics of chemical systems whose mass action equation gives rise to a deterministic chaotic attractor is carried out. A reactive lattice-gas model for the three-variable autocatalator is used to provide…

chao-dyn · 物理学 2009-10-28 Raymond Kapral , Xiao-Guang Wu

A fundamental issue in nonlinear dynamics and statistical physics is how to distinguish chaotic from stochastic fluctuations in short experimental recordings. This dilemma underlies many complex systems models from stochastic gene…

混沌动力学 · 物理学 2010-04-12 Chi-Sang Poon , Cheng Li , Guo-Qiang Wu

In this paper, we proposed a stochastic model which describes two species of particles moving in counterflow. The model generalizes the theoretical framework describing the transport in random systems since particles can work as mobile…

软凝聚态物质 · 物理学 2017-08-09 Eduardo Velasco Stock , Roberto da Silva , Henrique Almeida Fernandes

Combining X-ray tomography with simultaneous shear force measurement, we investigate shear-induced granular avalanches using spherical particles with different surface roughness. We find that systems consisting of particles with large…

We explore the chaotic dynamics of a large one-dimensional lattice of coupled maps with diffusive coupling of varying strength using the covariant Lyapunov vectors (CLVs). Using a lattice of diffusively coupled quadratic maps we quantify…

混沌动力学 · 物理学 2024-10-10 A. Raj , M. R. Paul

We report an experimental investigation of the statistical time dynamic of spatial Fourier modes in a fully developped turbulent jet flow. Measurements rely on an original acoustic scattering technique, allowing the direct and continuous…

统计力学 · 物理学 2009-11-11 C. Poulain , N. Mazellier , Y. Gagne , C. Baudet

Random magnetic field configurations are ubiquitous in nature. Such fields lead to a variety of dynamical phenomena, including localization and glassy physics in some condensed matter systems and novel transport processes in astrophysical…

高能物理 - 理论 · 物理学 2024-09-11 Tian-Gang Zhou , Michael Winer , Brian Swingle

The dynamical chaos in Lennard-Jones toy models of heteropolymers is studied by molecular dynamics simulations. It is shown that two nearby trajectories quickly diverge from each other if the heteropolymer corresponds to a random sequence.…

统计力学 · 物理学 2009-10-31 Mai Suan Li , Marek Cieplak , Nazar Sushko

A recent quasiclassical description of a tunneling universe model is shown to exhibit chaotic dynamics by an analysis of fractal dimensions in the plane of initial values. This result relies on non-adiabatic features of the quantum…

广义相对论与量子宇宙学 · 物理学 2023-11-15 Martin Bojowald , Ari Gluckman

We study the dynamics of perturbations in time delayed dynamical systems. Using a suitable space-time coordinate transformation, we find that the time evolution of the linearized perturbations (Lyapunov vector) can be mapped to the linear…

统计力学 · 物理学 2009-11-10 Alejandro D. Sanchez , Juan M. Lopez , Miguel A. Rodriguez , Manuel A. Matias

A well-behaved adjoint sensitivity technique for chaotic dynamical systems is presented. The method arises from the specialisation of established variational techniques to the unstable periodic orbits of the system. On such trajectories,…

混沌动力学 · 物理学 2018-03-12 Davide Lasagna

We build a minimal, mean-field, model of plasticity of amorphous solids, based upon a phenomenology of dissipative events derived, in a preceding paper [A. Lemaitre, C. Caroli, arXiv:0705.0823] from extensive molecular simulations. It…

无序系统与神经网络 · 物理学 2016-08-14 Anaël Lemaître , Christiane Caroli

We consider an interacting particle system $(\eta_t)_{t\geq 0}$ with values in $\{0,1\}^{\mathbb{Z}}$, in which each vacant site becomes occupied with rate 1, while each connected component of occupied sites become vacant with rate equal to…

概率论 · 数学 2007-05-23 Xavier Bressaud , Nicolas Fournier

In a dynamical system the singular vector (SV) indicates which perturbation will exhibit maximal growth after a time interval $\tau$. We show that in systems with spatiotemporal chaos the SV exponentially localizes in space. Under a…

混沌动力学 · 物理学 2009-03-13 Diego Pazó , Juan M. López , Miguel A. Rodríguez

By molecular-dynamics simulations, we have studied the devitrification (or crystallization) of aged hard-sphere glasses. First, we find that the dynamics of the particles are intermittent: Quiescent periods, when the particles simply…