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So far, only the energy thresholds of single discrete breathers in nonlinear Hamiltonian systems have been analytically obtained. In this work, the energy thresholds of discrete breathers in thermal equilibrium and the energy thresholds of…

Pattern Formation and Solitons · Physics 2018-02-13 Yi Ming , Dong-Bo Ling , Hui-Min Li , Ze-Jun Ding

The phenomenon of the displacement of the position of the pressure, intensity and acoustic radiation force maxima along the axis of focused acoustic beams under increasing driving amplitudes (nonlinear focal shift) is studied for the case…

Classical Physics · Physics 2017-09-05 Noé Jiménez , Francisco Camarena , Nuria González-Salido

The Dirac dispersion of graphene limits the phase space available for energy transport between electrons and acoustic phonons at temperatures above the Bloch-Grueneisen temperature. Consequently, energy transport can be dominated by…

Mesoscale and Nanoscale Physics · Physics 2014-06-18 Pauli Virtanen

In this work, we develop an analytical framework to explain the influence of dissipation and detuning parameters on the emergence and stability of autoresonance in a strongly nonlinear weakly damped chain subjected to harmonic forcing with…

Pattern Formation and Solitons · Physics 2020-03-16 Agnessa Kovaleva

We explore breather propagation in the damped oscillatory chain with essentially nonlinear (non-linearizable) nearest-neighbour coupling. Combination of the damping and the substantially nonlinear coupling leads to rather unusual two-stage…

Pattern Formation and Solitons · Physics 2019-07-30 M. Strozzi , O. V. Gendelman

We explore a recently proposed locally resonant granular system bearing harmonic internal resonators in a chain of beads interacting via Hertzian elastic contacts. In this system, we propose the existence of two types of configurations: (a)…

Pattern Formation and Solitons · Physics 2015-06-10 Lifeng Liu , Guillaume James , Panayotis Kevrekidis , Anna Vainchtein

The diffusion of a two-dimensional array of particles driven by a constant force in the presence of a periodic external potential exhibits a hierarchy of dynamical phase transitions when the driving force is varied. This behavior can be…

Statistical Mechanics · Physics 2009-10-30 O. M. Braun , T. Dauxois , M. V. Paliy , M. Peyrard

We present a study of the existence, stability and bifurcation structure of families of dark breathers in a one-dimensional uniform chain of spherical beads under static load. A defocus- ing nonlinear Schrodinger equation (NLS) is derived…

Pattern Formation and Solitons · Physics 2015-06-11 C. Chong , P. G. Kevrekidis , G. Theocharis , Chiara Daraio

By applying a staggered driving force in a prototypical discrete model with a quartic nonlinearity, we demonstrate the spontaneous formation and destruction of discrete breathers with a selected frequency due to thermal fluctuations. The…

Pattern Formation and Solitons · Physics 2010-05-20 David Cubero , Jesus Cuevas , P. G. Kevrekidis

We study the propagation of energy in one-dimensional anharmonic chains subject to a periodic, localized forcing. For the purely harmonic case, forcing frequencies outside the linear spectrum produce exponentially localized responses,…

Mathematical Physics · Physics 2026-01-13 Pedro L. Garrido , Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

Discrete materials composed of masses connected by strongly nonlinear links with anomalous behavior (reduction of elastic modulus with strain) have very interesting wave dynamics. Such links may be composed of materials exhibiting…

Soft Condensed Matter · Physics 2010-08-26 Eric B Herbold , Vitali F Nesterenko

Dissipation from harmonic energy eigenstates is used to characterize energy transport in binary isotopically disordered (BID) Fermi-Pasta-Ulam (FPU-beta) chains. Using a continuum analog for the corresponding harmonic portion of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 K. A. Snyder , T. R. Kirkpatrick

We investigate electron transport in one dimension from the quantum-acoustic perspective, where the coherent-state representation of lattice vibrations results in a time-dependent deformation potential whose rate is set by the sound speed,…

Quantum Physics · Physics 2025-12-23 Tiange Xiang , Yubo Zhang , Joonas Keski-Rahkonen , Anton M. Graf , Eric J. Heller

We consider the propagation of a single particle in a random chain, assisted by the coupling to dispersive bosons. Time evolution treated with rate equations for hopping between localized states reveals a qualitative difference between…

Strongly Correlated Electrons · Physics 2018-10-04 P. Prelovsek , J. Bonca , M. Mierzejewski

We investigate the effect of slowly-varying parameter on the energy transfer in a system of weakly coupled nonlinear oscillators, with special attention to a mathematical analogy between the classical energy transfer and quantum…

Pattern Formation and Solitons · Physics 2015-06-05 Leonid Manevitch , Agnessa Kovaleva

For the hopping dynamics in a one-dimensional model, containing energy and barrier disorder, we determine the linear and nonlinear response to an external field for arbitrary external frequencies. The calculation is performed in analytical…

Disordered Systems and Neural Networks · Physics 2013-02-15 Clara Mattner , Bernhard Roling , Andreas Heuer

Wireless power transfer (WPT) prolongs the lifetime of wireless sensor network by providing sustainable power supply to the distributed sensor nodes (SNs) via electromagnetic waves. To improve the energy transfer efficiency in a large WPT…

Information Theory · Computer Science 2016-11-15 Zhe Wang , Lingjie Duan , Rui Zhang

A dual component made of non-relativistic particles and a scalar field, exchanging energy, naturally falls onto an attractor solution, making them a (sub)dominant part of the cosmic energy during the radiation dominated era, provided that…

Cosmology and Nongalactic Astrophysics · Physics 2012-08-15 Silvio A. Bonometto , Giandomenico Sassi , Giuseppe La Vacca

In this paper, we investigate conventional communication-based chaotic waveforms in the context of wireless power transfer (WPT). Particularly, we present a differential chaos shift keying (DCSK)-based WPT architecture, that employs an…

Signal Processing · Electrical Eng. & Systems 2022-05-10 Priyadarshi Mukherjee , Constantinos Psomas , Ioannis Krikidis

Anomalous-diffusion, the departure of the spreading dynamics of diffusing particles from the traditional law of Brownian-motion, is a signature feature of a large number of complex soft-matter and biological systems. Anomalous-diffusion…