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We study the effects of electron-lattice interaction in the presence of discrete breathers. The lattice is treated classically. We consider two different situations - i) the scattering of an electron by a discrete breather in the…

Statistical Mechanics · Physics 2008-02-03 S. Flach , K. Kladko

In this paper, interstitial migration generated by scattering with a mobile breather is investigated numerically in a Frenkel-Kontorova one-dimensional lattice. Consistent with experimental results it is shown that interstitial diffusion is…

Pattern Formation and Solitons · Physics 2015-05-20 J. Cuevas , B. Sanchez-Rey , J. C. Eilbeck , F. M. Russell

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

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. We study the existence of energy thresholds for discrete breathers, i.e.,…

Pattern Formation and Solitons · Physics 2007-05-23 Michael Kastner

Nonlinear classical Hamiltonian lattices exhibit generic solutions in the form of discrete breathers. These solutions are time-periodic and (typically exponentially) localized in space. The lattices exhibit discrete translational symmetry.…

patt-sol · Physics 2015-06-26 S. Flach , C. R. Willis

In the present work we revisit the existence, stability and dynamical properties of moving discrete breathers in $\beta$-FPU lattices. On the existence side, we propose a numerical procedure, based on a continuation along a sequence of…

Pattern Formation and Solitons · Physics 2022-04-27 H. Duran , J. Cuevas-Maraver , P. G. Kevrekidis , A. Vainchtein

Discrete breathers are time-periodic, spatially localized solutions of equations of motion for classical degrees of freedom interacting on a lattice. They come in one-parameter families. We report on studies of energy properties of breather…

patt-sol · Physics 2009-10-30 S. Flach , K. Kladko , R. S. MacKay

We study the dynamics of the discrete nonlinear Schr{\"o}dinger lattice initialized such that a very long transitory period of time in which standard Boltzmann statistics is insufficient is reached. Our study of the nonlinear system locked…

patt-sol · Physics 2015-06-26 K. Ø. Rasmussen , S. Aubry , A. R. Bishop , G. P. Tsironis

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

We report the results of molecular dynamics simulations of an off-lattice protein model featuring a physical force-field and amino-acid sequence. We show that localized modes of nonlinear origin (discrete breathers) emerge naturally as…

Disordered Systems and Neural Networks · Physics 2011-08-02 S. Luccioli , A. Imparato , S. Lepri , F. Piazza , A. Torcini

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

Nonequilibrium, quasi-stationary states of a one-dimensional "hard" $\phi^4$ deterministic lattice, initially thermalized to a particular temperature, are investigated when brought into contact with a stochastic thermal bath at lower…

Statistical Mechanics · Physics 2014-08-27 Th. Oikonomou , A. Nergis , N. Lazarides , G. P. Tsironis

We study a discrete two-dimensional nonlinear system that allows for discrete breather solutions. We perform a spectral analysis of the lattice dynamics at thermal equilibrium and use a cooling technique to measure the amount of breathers…

Statistical Mechanics · Physics 2009-11-10 Maria Eleftheriou , Sergej Flach

We present a theoretical study of linear wave scattering in one-dimensional nonlinear lattices by intrinsic spatially localized dynamic excitations or discrete breathers. These states appear in various nonlinear systems and present a…

Condensed Matter · Physics 2009-11-07 S. Flach , A. E. Miroshnichenko , M. V. Fistul

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

Magnetic metamaterials composed of split-ring resonators or $U-$type elements may exhibit discreteness effects in THz and optical frequencies due to weak coupling. We consider a model one-dimensional metamaterial formed by a discrete array…

Materials Science · Physics 2019-07-19 N. Lazarides , M. Eleftheriou , G. P. Tsironis

Intrinsic localized modes or discrete breathers are investigated by molecular dynamics simulations in free-standing graphene. Discrete breathers are generated either through thermal quenching of the graphene lattice or by proper…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Alberto Fraile , Emmanuel N. Koukaras , Konstantinos Papagelis , Nikos Lazarides , Giorgos P. Tsironis

We review recent studies about quantum discrete breathers. We describe their basic properties in comparison with their classical counterparts, and the ways they may be addressed theoretically in different quantum lattice models including…

Mesoscale and Nanoscale Physics · Physics 2010-05-25 Ricardo A. Pinto , Sergej Flach

We describe, for the first time, the full 2D scattering of long-lived breathers in a model hexagonal lattice of atoms. The chosen system, representing an idealized model of mica, combines a Lennard-Jones interatomic potential with an…

Pattern Formation and Solitons · Physics 2021-02-22 J. Bajars , J. C. Eilbeck , B. Leimkuhler

We study the scattering of a moving discrete breather (DB) on a junction in a Fermi-Pasta-Ulam (FPU) chain consisting of two segments with different masses of the particles. We consider four distinct cases: (i) a light-heavy (abrupt)…

Pattern Formation and Solitons · Physics 2009-11-07 Ioana Bena , Avadh Saxena , Jose Maria Sancho
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