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We study the existence and stability of multibreathers in Klein-Gordon chains with interactions that are not restricted to nearest neighbors. We provide a general framework where such long range effects can be taken into consideration for…

Pattern Formation and Solitons · Physics 2015-06-04 V. Koukouloyannis , P. G. Kevrekidis , J. Cuevas , V. Rothos

We present a variety of dissipative solitons and breathing modes in a medium with localized gain and homogeneous linear dissipation. The system posses a number of unusual properties, like exponentially localized modes in both focusing and…

We review research on the role of nonlinear coherent phenomena (e.g breathers and kinks) in the formation linear decorations in mica crystal. The work is based on a new model for the motion of the mica hexagonal K layer, which allows…

Pattern Formation and Solitons · Physics 2015-08-04 J. Bajars , J. C. Eilbeck , B. Leimkuhler

The quantum modes of a nonlinear Klein Gordon lattice have been computed numerically [L. Proville, Phys. Rev. B, vol. 71, 104306 (2005)]. The on-site nonlinearity has been found to lead to a phonon pairing and consequently some phonon bound…

Quantum Physics · Physics 2009-11-11 Laurent Proville

We consider a modulated discrete nonlinear Schr\"odinger (DNLS) model with alternating on-site potential, having a linear spectrum with two branches separated by a 'forbidden' gap. Nonlinear localized time-periodic solutions with…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey V. Gorbach , Magnus Johansson

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 report the ejection of atoms at a crystal surface caused by energetic breathers which have travelled more than 10^7 unit cells in atomic chain directions. The breathers were created by bombardment of a crystal face with heavy ions. This…

Other Condensed Matter · Physics 2007-05-23 F. M. Russell , J. C. Eilbeck

The evolution towards equipartition in the $\beta$-FPU chain is studied considering as initial condition the highest frequency mode. Above an analytically derived energy threshold, this zone-boundary mode is shown to be modulationally…

Statistical Mechanics · Physics 2016-08-31 Thierry Cretegny , Thierry Dauxois , Stefano Ruffo , Alessandro Torcini

Dissipative solitons in optical microcavities have attracted significant attention in recent years due to their direct association with the generation of optical frequency combs. Here, we address the problem of dissipative soliton breathers…

Optics · Physics 2023-08-09 A. Villois , D. N. Puzyrev , D. V. Skryabin , M. Onorato

We investigate the coalescence of two DNA-bubbles initially located at weak segments and separated by a more stable barrier region in a designed construct of double-stranded DNA. The characteristic time for bubble coalescence and the…

Statistical Mechanics · Physics 2008-05-26 Tomas Novotny , Jonas Nyvold Pedersen , Tobias Ambjornsson , Mikael Sonne Hansen , Ralf Metzler

Breather stability and longevity in thermally relaxing nonlinear arrays depend sensitively on their interactions with other excitations. We review the relaxation of breathers in Fermi-Pasta-Ulam arrays, with a specific focus on the…

Statistical Mechanics · Physics 2009-11-07 Ramon Reigada , Antonio Sarmiento , Katja Lindenberg

Exact stability analysis of 1-site breathers in an NLS type model (ref. [4], see below) indicates destabilisation through a growth rate becoming positive as a stability border is crossed, while above a critical spatial decay rate…

Pattern Formation and Solitons · Physics 2009-11-07 Avijit Lahiri , Subhendu Panda , Tarun K. Roy

The observation of traveling breathers (TBs) with large-amplitude oscillatory tails realizes an almost 50-year-old theoretical prediction (Kuznetsov 1975) and generalizes the notion of a breather. Two strongly nonlinear TB families are…

Pattern Formation and Solitons · Physics 2023-08-16 Yifeng Mao , Sathyanarayanan Chandramouli , Wenqian Xu , Mark A. Hoefer

We have studied the dynamic evolution of the collective excitations in Bose-Einstein condensates in a deep optical lattice with tunable three-body interactions. Their dynamics is governed by a high order discrete nonlinear Schrodinger…

Quantum Gases · Physics 2015-06-23 Galal Ahmed Alakhaly , Bishwajyoti Dey

Stress relaxation following deformation of an entangled polymeric liquid is thought to be affected by transient reforming of chain entanglements. In this work, we use single molecule techniques to study the relaxation of individual polymers…

Soft Condensed Matter · Physics 2018-07-04 Yuecheng Zhou , Charles M. Schroeder

Nonlinearity and discreteness are two pivotal factors for an emergence of discrete breather excitations in various media. We argue that these requirements are met in the forced ferromagnetic phase of the monoaxial chiral helimagnet…

Materials Science · Physics 2022-01-05 I. G. Bostrem , E. G. Ekomasov , J. Kishine , A. S. Ovchinnikov , V. E. Sinitsyn

We consider two types of strongly disordered one-dimensional Hamiltonian systems coupled to baths (energy or particle reservoirs) at the boundaries: strongly disordered quantum spin chains and disordered classical harmonic oscillators.…

Statistical Mechanics · Physics 2017-04-26 Wojciech De Roeck , Abhishek Dhar , Francois Huveneers , Marius Schuetz

We touch upon the wide topic of discrete breather formation with a special emphasis on the the $\phi^4$ model. We start by introducing the model and discussing some of the application areas/motivational aspects of exploring time periodic,…

Pattern Formation and Solitons · Physics 2020-08-25 J. Cuevas-Maraver , P. G. Kevrekidis

The observation of temporal dissipative Kerr solitons in optical microresonators provides, on the applied side, compact sources of coherent optical frequency combs that have already been applied in coherent communications, dual comb…

Nonlinearity shapes lattice dynamics affecting vibrational spectrum, transport and thermalization phenomena. Beside breathers and solitons one finds the third fundamental class of nonlinear modes -- $q$-breathers -- periodic orbits in…

Other Condensed Matter · Physics 2015-05-19 M. V. Ivanchenko
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