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Analytical theory of large size intrinsic localized modes (ILMs) in anharmonic two-atomic chain is presented. It is shown that ILMs with frequencies close to the borders of phonon gap are govern by quartic anharmonicity while the effect of…

材料科学 · 物理学 2017-12-05 Vladimir Hizhnyakov

A theory is developed to describe the effect of an intrinsic localized mode (ILM) on small vibrations in a monatomic chain with hard quartic anharmonicity. One prediction is the appearance in the chain of linear local modes nearby the ILM.…

斑图形成与孤子 · 物理学 2011-11-18 V. Hizhnyakov , A. Shelkan , M. Klopov , S. A. Kiselev , A. J. Sievers

MD simulations of recoil processes following the scattering of X-rays or neutrons have been performed in ionic crystals and metals. At small energies (<10 eV) the recoil can induce intrinsic localized modes (ILMs) and linear local modes…

材料科学 · 物理学 2015-06-17 V. Hizhnyakov , M. Haas , A. Shelkan , M. Klopov

Inelastic neutron measurements of the high-temperature lattice excitations in NaI show that in thermal equilibrium at 555 K an intrinsic mode, localized in three dimensions, occurs at a single frequency near the center of the spectral…

强关联电子 · 物理学 2009-05-01 M. E. Manley , A. J. Sievers , J. W. Lynn , S. A. Kiselev , N. I. Agladze , Y. Chen , A. Llobet , A. Alatas

Nearly steady-state locked intrinsic localized modes (ILMs) in the quasi-1d antiferromagnet (C2H5NH3)2CuCl4 are detected via four-wave mixing emission or the uniform mode absorption. Exploiting the long-time stability of these locked ILMs,…

斑图形成与孤子 · 物理学 2007-05-23 J. P. Wrubel , M. Sato , A. J. Sievers

Lithium niobate (LN) microring resonators, characterized by an exceptionally high second-order nonlinear coefficient and superior electro-optic tunability, serve as an outstanding platform for the precise control of integrated quantum…

The existence of anharmonic localization of lattice vibrations in a perfect 3-D diatomic ionic crystal is established for the rigid-ion model by molecular dynamics simulations. For a realistic set of NaI potential parameters, an intrinsic…

材料科学 · 物理学 2009-10-28 S. A. Kiselev , A. J. Sievers

We study intrinsic localized modes (ILMs), or solitons, in arrays of parametrically-driven nonlinear resonators with application to microelectromechanical and nanoelectromechanical systems (MEMS and NEMS). The analysis is performed using an…

介观与纳米尺度物理 · 物理学 2009-10-07 Eyal Kenig , Boris A. Malomed , M. C. Cross , Ron Lifshitz

A quantum Langevin model, similar to models used recently for optomechanics, was used to predict intermodulation phonon sidebands (IPS). Ab initio calculations of anharmonic phonons in rocksalt NaBr showed these spectral features as…

材料科学 · 物理学 2021-04-21 Y. Shen , C. N. Saunders , C. M. Bernal , D. L. Abernathy , T. J. Williams , M. E. Manley , B. Fultz

This experimental study of driven intrinsic localized modes (ILMs) in an electronic circuit lattice with saturable nonlinearity follows the theoretical work of Hadzievski and coworkers. They proposed that a saturable nonlinearity could…

斑图形成与孤子 · 物理学 2015-06-16 W. Shi , S. Shige , Y. Soga , M. Sato , A. J. Sievers

The possibility of thermal excitation of intrinsic localized modes (ILMs) arising from anharmonicity in ionic perfect crystals is studied numerically for realistic model systems in one and three dimensions. Implications are discussed for an…

材料科学 · 物理学 2015-06-17 A. J. Sievers , M. Sato , J. B. Page , T. Rössler

A theory of intrinsic localized modes (ILMs) in anharmonic lattices is developed, which allows one to reduce the original nonlinear problem to a linear problem of small variations of the mode. This enables us to apply the Lifshitz method of…

斑图形成与孤子 · 物理学 2015-05-27 V. Hizhnyakov , A. Shelkan , M. Klopov

Nonlinear localized excitations in one-dimensional diatomic lattices with cubic and quartic nonlinearity are considered analytically by a quasi-discreteness approach. The criteria for the occurence of asymmetric gap solitons (with vibrating…

材料科学 · 物理学 2009-10-30 Guoxiang Huang , Bambi Hu

The phonon localized edge modes are systematically studied, and two conditions are proposed for the existence of the localized edge modes: (I) coupling between different directions ($x$, $y$ or $z$) in the interaction; (II) different…

材料科学 · 物理学 2010-07-27 Jin-Wu Jiang , Jian-Sheng Wang

It is shown that the mean-field description of a boson-fermion mixture with a dominating fermionic component, loaded in a one-dimensional optical lattice, is reduced to the nonlinear Schr\"{o}dinger equation with a periodic potential and…

其他凝聚态物理 · 物理学 2007-05-23 Yu. V. Bludov , V. V. Konotop

We consider the localized modes (bright solitons) described by one-dimensional quintic nonlinear Schrodinger equation with a periodic potential. In the case of attractive nonlinearity we deduce sufficient conditions for collapse. We show…

斑图形成与孤子 · 物理学 2007-05-23 G. L. Alfimov , V. V. Konotop , P. Pacciani

We explore self-induced parametric coupling, also called internal resonances (IRs), in a membrane nanoelectromechanical system. Specifically, we focus on the formation of a limit cycle manifesting as a phononic frequency comb. Utilizing a…

介观与纳米尺度物理 · 物理学 2025-08-08 Mengqi Fu , Orjan Ameye , Fan Yang , Jan Košata , Javier del Pino , Oded Zilberberg , Elke Scheer

Experimental evidence for the generation of intrinsic localized modes (ILMs) in a nonlinear electrical transmission line is presented both via modulational instability (MI) of the uniform mode and via driving the lattice locally. The…

斑图形成与孤子 · 物理学 2009-11-13 Ryan Stearrett , L. Q. English

Localized modes of large amplitudes in nonlinear lattices are considered. The applied method allows the reduction of nonlinear problem to a linear inverse problem of phonons scattering on a local potential. The method is efficient in the…

软凝聚态物质 · 物理学 2007-05-23 V. Hizhnyakov , D. Nevedrov , E. Sigmund

We study nonlinear excitations described by DNLS-type equations with so-called competing nonlinearities. These are the nonlinearities that consist of two power terms with coefficients of different sign. A key feature of these models is the…

斑图形成与孤子 · 物理学 2025-07-23 G. L. Alfimov , P. A. Korchagin , F. K. Abdullaev
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