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We study the dynamical and chaotic behavior of a disordered one-dimensional elastic mechanical lattice which supports translational and rotational waves. The model used in this work is motivated by the recent experimental results of B. Deng…

We reveal the generic characteristics of wave packet delocalization in two-dimensional nonlinear disordered lattices by performing extensive numerical simulations in two basic disordered models: the Klein-Gordon system and the discrete…

无序系统与神经网络 · 物理学 2020-03-18 Bertin Many Manda , Bob Senyange , Charalampos Skokos

We study the propagation of a density perturbation in a weakly interacting boson gas confined on a lattice and in the presence of square dimerized impurities. Such a two-dimensional random-dimer model (2D-DRDM), previously introduced in…

量子气体 · 物理学 2020-01-08 Pablo Capuzzi , Patrizia Vignolo

We investigate energy propagation in a one-dimensional stub lattice in the presence of both disorder and nonlinearity. In the periodic case, the stub lattice hosts two dispersive bands separated by a flat band; however, we show that…

We study numerically propagation of energy in a one dimensional Ding-Ding lattice, composed of linear oscillators with ellastic collisions. Wave propagation is suppressed by breaking translational symmetry, we consider three way to do this:…

无序系统与神经网络 · 物理学 2020-06-24 A. Pikovsky

The interplay of fluctuations, ergodicity, and disorder in many-body interacting systems has been striking attention for half a century, pivoted on two celebrated phenomena: Anderson localization predicted in disordered media, and…

统计力学 · 物理学 2021-09-16 Yagmur Kati

We investigate the dynamical properties of a strongly disordered micropolar lattice made up of cubic block units. This phononic lattice model supports both transverse and rotational degrees of freedom hence its disordered variant posses an…

斑图形成与孤子 · 物理学 2020-08-12 A. Ngapasare , G. Theocharis , O. Richoux , Ch. Skokos , V. Achilleos

We study the spreading of single-site excitations in one-dimensional disordered Klein-Gordon chains with tunable nonlinearity $|u_{l}|^{\sigma} u_{l}$ for different values of $\sigma$. We perform extensive numerical simulations where wave…

无序系统与神经网络 · 物理学 2015-05-18 Ch. Skokos , S. Flach

We probe the limits of nonlinear wave spreading in disordered chains which are known to localize linear waves. We particularly extend recent studies on the regimes of strong and weak chaos during subdiffusive spreading of wave packets [EPL…

混沌动力学 · 物理学 2011-07-18 J. D. Bodyfelt , T. V. Laptyeva , Ch. Skokos , D. O. Krimer , S. Flach

We study the expansion of an initially strongly confined wave packet in a one-dimensional weak random potential with short correlation length. At long times, the expansion of the wave packet comes to a halt due to destructive interferences…

量子物理 · 物理学 2016-07-06 Juan Pablo Ramírez Valdes , Thomas Wellens

We consider the spreading of the wave packet in the generalized Rosenzweig-Porter random matrix ensemble in the region of non-ergodic extended states $1<\gamma<2$. We show that despite non-trivial fractal dimensions $0 < D_{q}=2-\gamma<1$…

无序系统与神经网络 · 物理学 2017-06-08 Mohsen Amini Abchuyeh

We study the diffusive and localization properties of wavepackets in disordered wires in a magnetic field. In contrast to a recent supersymmetry approach our numerical results show that the decay rate of the steady state changes {\em…

介观与纳米尺度物理 · 物理学 2009-10-31 Matthias Weiss , Tsampikos Kottos , Theo Geisel

We analyze mechanisms and regimes of wave packet spreading in nonlinear disordered media. We predict that wave packets can spread in two regimes of strong and weak chaos. We discuss resonance probabilities, nonlinear diffusion equations,…

无序系统与神经网络 · 物理学 2015-05-18 S. Flach

In the study of subdiffusive wave-packet spreading in disordered Klein-Gordon (KG) nonlinear lattices, a central open question is whether the motion continues to be chaotic despite decreasing densities, or tends to become quasi-periodic as…

混沌动力学 · 物理学 2017-10-11 Chris G. Antonopoulos , Charalampos Skokos , Tassos Bountis , Sergej Flach

We show, theoretically and experimentally, the counterintuitive result that an increase of disorder can result in an enhanced spreading of an initially localized excitation. Moreover, we find that adding a focusing nonlinearity facilitates…

We numerically investigate the telltale signs of pair-density-wave order (PDW) in the Kondo-Heisenberg chain by focusing on the momentum resolved spectrum in different parameter regimes. Density matrix renormalization group calculations…

强关联电子 · 物理学 2026-04-27 Luhang Yang , Elbio Dagotto , Adrian E. Feiguin

Previous experiments have revealed that shock waves in thermally relaxing gases, such as ionizing, dissociating and vibrationally excited gases, can become unstable. To date, the mechanism controlling this instability has not been resolved.…

斑图形成与孤子 · 物理学 2012-02-06 Matei I. Radulescu , Nick Sirmas

We study the effect of disorder on the particle density evolution in a classical Hamiltonian driven lattice setup. If the disorder is localized within a finite sub-domain of the lattice, the emergence of strong tails in the density…

混沌动力学 · 物理学 2016-09-21 Thomas Wulf , Alexander Okupnik , Peter Schmelcher

Propagation of initially localized perturbations is investigated in chaotic coupled map lattices with long-range couplings decaying as a power of the distance. The initial perturbation propagates exponentially fast along the lattice, with a…

chao-dyn · 物理学 2009-10-28 Alessandro Torcini , Stefano Lepri

Do nonlinear waves destroy Anderson localization? Computational and experimental studies yield subdiffusive nonequilibrium wave packet spreading. Chaotic dynamics and phase decoherence assumptions are used for explaining the data. We…

混沌动力学 · 物理学 2013-08-29 Charalampos Skokos , Ioannis Gkolias , Sergej Flach
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