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We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb structure. Drives are considered over a range of frequencies both outside (below and above) and inside the band of…

Pattern Formation and Solitons · Physics 2020-07-15 F. Palmero , L. Q. English , J. Cuevas-Maraver , P. G. Kevrekidis

A model is developed describing the energy distribution of quasi-particles in a quasi-one dimensional, normal metal wire, where the transport is diffusive, connected between equilibrium reservoirs. When an ac bias is applied to the wire by…

Mesoscale and Nanoscale Physics · Physics 2017-02-20 Robbert-Jan Dikken

Dynamics of array of coupled self-excited oscillators is considered. Model of Franklin bell is adopted as a mechanism for the self-excitation. The model allows derivation of exact analytic solutions for discrete breathers (DBs), and…

Pattern Formation and Solitons · Physics 2016-11-23 I. B. Shiroky , O. V. Gendelman

Power system coherency refers to the phenomenon that machines in a power network exhibit similar frequency responses after disturbances, and is foundational for model reduction and control design. Despite abundant empirical observations,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Yixuan Liu , Yingzhu Liu , Pengcheng You

Electronic transport in a model molecular device coupled to local phonon modes is theoretically analyzed. The method allows for obtaining an accurate approximation of the system's quantum state irrespective of the electron and phonon energy…

Mesoscale and Nanoscale Physics · Physics 2007-10-10 Antonino La Magna , Ioannis Deretzis

Recent papers have considered moving breathers (MBs) in DNA models including long range interaction due to the dipole moments of the hydrogen bonds. We have recalculated the value of the charge transfer when hydrogen bonds stretch using…

Pattern Formation and Solitons · Physics 2007-05-23 J. Cuevas , E. B. Starikov , J. F. R. Archilla , D. Hennig

The possibility of shifting sound energy from lower to higher frequency bands is investigated. The system configuration considered is a segmented structure having non-linear stiffness characteristics. It is proposed here that such a…

Classical Physics · Physics 2021-02-10 Srinivas Varanasi , Thomas Siegmund , J. Stuart Bolton

A systematic correlation between the initial profile of discrete breathers and their frequency is described. The context is that of a very weakly harmonically coupled chain of softly anharmonic oscillators. The results are structurally…

Pattern Formation and Solitons · Physics 2014-11-12 M. Haskins , J. M. Speight

We study the propagation of very large amplitude localized excitations in a model of DNA that takes explicitly into account the helicoidal structure. These excitations represent the ``transcription bubble'', where the hydrogen bonds between…

Soft Condensed Matter · Physics 2009-10-31 Alessandro Campa

Novel mechanisms of defect annealing in solids are discussed, which are based on the large amplitude anharmonic lattice vibrations, a.k.a. intrinsic localized modes or discrete breathers (DBs). A model for amplification of defect annealing…

Materials Science · Physics 2017-11-22 V. I. Dubinko , J. F. R. Archilla , V. Hizhnyakov , S. V. Dmitriev

We study numerically synchronization phenomena of mobile discrete breathers in dissipative nonlinear lattices periodically forced. When varying the driving intensity, the breather velocity generically locks at rational multiples of the…

Pattern Formation and Solitons · Physics 2007-05-23 D. Zueco , P. J. Martinez , L. M. Floria , F. Falo

The nonlinear dynamics of a one-dimensional molecular crystal in the form of a chain of planar coronene molecules is analyzed. Using molecular dynamics, it is shown that a chain of coronene molecules supports acoustic solitons,…

Mesoscale and Nanoscale Physics · Physics 2023-01-09 Alexander V. Savin , Sergey V. Dmitriev

We consider a chain of torsionally-coupled, planar pendula shaken horizontally by an external sinusoidal driver. It has been known that in such a system, theoretically modeled by the discrete sine-Gordon equation, intrinsic localized modes,…

Pattern Formation and Solitons · Physics 2016-01-20 F. Palmero , J. Han , L. Q. English , T. J. Alexander , P. G. Kevrekidis

We study the stability of a stationary discrete breather (DB) on a nonlinear trimer in the framework of the discrete nonlinear Schr\"odinger equation (DNLS). In previous theoretical investigations of the dynamics of Bose-Einstein…

Quantum Gases · Physics 2013-05-29 Holger Hennig , Jérôme Dorignac , David K. Campbell

By applying an out-of-phase actuation at the boundaries of a uniform chain of granular particles, we demonstrate experimentally that time-periodic and spatially localized structures with a nonzero background (so-called dark breathers)…

Pattern Formation and Solitons · Physics 2015-06-16 C. Chong , F. Li , J. Yang , M. O. Williams , I. G. Kevrekidis , P. G. Kevrekidis , C. Daraio

We consider an infinite chain of particles linearly coupled to their nearest neighbours and subject to an anharmonic local potential. The chain is assumed weakly inhomogeneous. We look for small amplitude discrete breathers. The problem is…

Pattern Formation and Solitons · Physics 2015-05-20 Guillaume James , Bernardo Sanchez-Rey , Jesus Cuevas

Nonlinear lattice models can support "discrete breather" excitations that stay localized in space for all time. By contrast, the localized Wannier states of linear lattice models are dynamically unstable. Nevertheless, symmetric and…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Frank Schindler , Vir B. Bulchandani , Wladimir A. Benalcazar

We study the impact of phonon anharmonicity on the electronic dynamics of soft materials using a nonperturbative quantum-classical approach. The method is applied to a one-dimensional model of doped organic semiconductors with low-frequency…

Materials Science · Physics 2025-09-24 Jonathan H. Fetherolf , Petra Shih , Timothy C. Berkelbach

One-dimensional nonlinear phononic crystals have been assembled from periodic diatomic chains of stainless steel cylinders alternated with Polytetrafluoroethylene (PTFE) spheres. We report the presence of acoustic band gaps in the…

Soft Condensed Matter · Physics 2008-06-27 E. B. Herbold , J. Kim , V. F. Nesterenko , S. Wang , C. Daraio

A theory of nonlinear dynamics of mixed Abrikosov vortices with Josephson cores (AJ vortices) on low-angle grain boundaries (GB) in superconductors is proposed. Dynamics and pinning of AJ vortices determine the in-field current transport…

Superconductivity · Physics 2009-11-07 A. Gurevich