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We present a systematic study of the existence and stability of discrete breathers that are spatially localized in the bulk of a one-dimensional chain of compressed elastic beads that interact via Hertzian contact. The chain is diatomic,…

Other Condensed Matter · Physics 2011-02-21 G. Theocharis , N. Boechler , P. G. Kevrekidis , S. Job , Mason A. Porter , C. Daraio

We examine the dynamics of strongly localized periodic solutions (discrete breathers) in two-dimensional array of coupled finite one-dimensional chains of oscillators. Localization patterns with both single and multiple localization sites…

Pattern Formation and Solitons · Physics 2017-05-18 Itay Grinberg , Oleg V. Gendelman

We numerically analyze the interaction of small-amplitude phonon waves with standing gap discrete breather (DB) in strained graphene. To make the system support gap DB, strain is applied to create a gap in the phonon spectrum. We only focus…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Iman Evazzade , Mahmood Rezaee Roknabadi , Mohammad Behdani , Fatemeh Moosavi , Daxing Xoing , Kun Zhou , Sergey V. Dmitriev

We present a dynamical study on the nonlinear conduction behaviour in the commensurate charge-density-wave phase of the quasi-one-dimensional conductor DCNQI$_2$Cu below 75 K. We can accurately simulate magnitude and time-dependence of the…

Strongly Correlated Electrons · Physics 2015-10-09 Florian Huewe , Alexander Steeger , Irene Bauer , Steffen Doerrich , Peter Strohriegl , Jens Pflaum

We study a linear chain of oscillators with inhomogeneity in their interactions with phonon bath. In a previous work on the Markovian master equation of the system, we investigated a model in which the difference in the site-phonon coupling…

Statistical Mechanics · Physics 2022-05-18 B. A. Tay

The effect of discrete breathers (DBs) on macroscopic properties of the Fermi-Pasta-Ulam chain with symmetric and asymmetric potentials is investigated. The total to kinetic energy ratio (related to specific heat), stress (related to…

We study experimentally and numerically the existence and stability properties of discrete breathers in a periodic nonlinear electric line. The electric line is composed of single cell nodes, containing a varactor diode and an inductor,…

Pattern Formation and Solitons · Physics 2015-05-22 F. Palmero , L. Q. English , J. Cuevas , R. Carretero-González , P. G. Kevrekidis

A density functional theory (DFT) study of the discrete breathers (DBs) in graphane (fully hydrogenated graphene) was performed. To the best of our knowledge, this is the first demonstration of the existence of DBs in a crystalline body…

Pattern Formation and Solitons · Physics 2015-06-19 G. M. Chechin , S. V. Dmitriev , I. P. Lobzenko , D. S. Ryabov

We explore the dynamics of strongly localized periodic solutions (discrete solitons, or discrete breathers) in a finite one-dimensional chain of asymmetric vibro-impact oscillators. The model involves a parabolic on-site potential with…

Pattern Formation and Solitons · Physics 2017-01-12 I. Grinberg , O. V. Gendelman

We investigate energy transfer and localization in a linear time-invariant oscillator chain weakly coupled to a forced nonlinear actuator. Two types of perturbation are studied: (1) harmonic forcing with a constant frequency is applied to…

Pattern Formation and Solitons · Physics 2015-01-06 Agnessa Kovaleva

Breathers may be mobile close to an instability threshold where the frequency of a pinning mode vanishes. The translation mode is a marginal mode that is a solution of the linearized (Hill) equation of the breather which grows linearly in…

Condensed Matter · Physics 2009-10-30 S. Aubry , T. Cretegny

The existence, stability and movability of breathers in a model for alpha-helix proteins is studied. This model basically consists a chain of dipole moments parallel to it. The existence of localized linear modes brings about that the…

Pattern Formation and Solitons · Physics 2009-11-07 J. F. R. Archilla , Yu B. Gaididei , P. L. Christiansen , J. Cuevas

Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. An important issue, not only from a theoretical point of view but also for…

Pattern Formation and Solitons · Physics 2009-11-10 Michael Kastner

We investigate transient nonlinear localization, namely the self-excitation of energy bursts in an atomic lattice at finite temperature. As a basic model we consider the diatomic Lennard-Jones chain. Numerical simulations suggest that the…

Pattern Formation and Solitons · Physics 2021-06-15 Stefano Lepri , Francesco Piazza

We study the escape of a chain of coupled units over the barrier of a metastable potential. It is demonstrated that a very weak external driving field with suitably chosen frequency suffices to accomplish speedy escape. The latter requires…

Pattern Formation and Solitons · Physics 2015-06-18 D. Hennig , C. Mulhern , A. D. Burbanks , L. Schimansky-Geier

We report on the existence of discrete breathers in a one-dimensional, mass-in-mass chain with linear intersite coupling and nonlinear Hertzian local resonators, which is motivated by recent studies of the dynamics of microspheres adhered…

Pattern Formation and Solitons · Physics 2017-03-01 S. P. Wallen , J. Lee , D. Mei , C. Chong , P. G. Kevrekidis , N. Boechler

The existence of discrete breathers (DBs), or intrinsic localized modes (localized periodic oscillations of transzigzag) is shown. In the localization region periodic contraction-extension of valence C-C bonds occurs which is accompanied by…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Savin , L. I. Manevitch

We propose a generic model of driven DNA under the influence of an oscillatory force of amplitude $F$ and frequency $\nu$ and show the existence of a dynamical transition for a chain of finite length. We find that the area of the hysteresis…

Soft Condensed Matter · Physics 2016-03-23 Sanjay Kumar , Ravinder Kumar , Wolfhard Janke

We discuss the process by which energy, initially evenly distributed in a nonlinear lattice, can localize itself into large amplitude excitations. We show that, the standard modulational instability mechanism, which can initiate the process…

patt-sol · Physics 2008-02-03 T. Dauxois , M. Peyrard

We study the dynamic behavior at high energies of a chain of anharmonic oscillators coupled at its ends to heat baths at possibly different temperatures. In our setup, each oscillator is subject to a homogeneous anharmonic pinning potential…

Mathematical Physics · Physics 2009-03-25 Martin Hairer , Jonathan C. Mattingly