Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain

Singh, Mohit; Morkina, Alina Y.; Korznikova, Elena A.; Dubinko, V.I.; Terentiev, Dmitry A.; Xiong, Daxing; Naimark, Oleg; Gani, Vakhid A.

doi:10.1007/s00332-020-09663-4

Cited by 31 publications

(12 citation statements)

References 124 publications

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“…Example of phonon dispersion curves, Eqs. ( 11) and (12), is given in Fig. 3(a) for r 0 = 0.5, R 0 = 0.8, and k = 5.…”

Section: A Regime Imentioning

confidence: 99%

“…Mechanisms of energy localization and transport in nonlinear discrete systems are attracting a lot of attention from physicists because they play a decisive role in a variety of processes. Topological solitons [1,2], shock waves [3][4][5], crowdions [6][7][8], discrete breathers [9][10][11][12][13], modes localized on defects [14], rotobreathers [15,16] are examples of spatially localized objects that exist in nonlinear lattices.…”

Section: Introductionmentioning

confidence: 99%

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Rotobreathers in a chain of coupled elastic rotators

Savin,

Sunagatova,

Dmitriev

2021

Preprint

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Rotobreathers in the chain of coupled linearly elastic rotators are analyzed. Each rotator is a particle connected by a massless elastic rod with a frictionless pivot; it has two degrees of freedom, length and angle of rotation. The rods of the rotators and the elastic bonds between the nearest rotators are linearly elastic, and the nonlinearity of the system is of a purely geometric nature. It is shown that long-lived rotobreathers can exist if the stiffness of the rods is high enough to create a relatively wide gap in the phonon spectrum of the chain. The frequency of angular rotation of the rotobreather cannot be above the optical band of the phonon spectrum and is in the spectrum gap. Generally speaking, the rotation of the rotobreather is accompanied by radial oscillations, however, one can choose such initial conditions so that the radial oscillations are minimal. Some parameters of rotobreathers with minimal radial vibrations are presented on the basis of numerical simulations. The results obtained qualitatively describe the behavior of physical systems with coupled rotators.

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“…Example of phonon dispersion curves, Eqs. ( 11) and (12), is given in Fig. 3(a) for r 0 = 0.5, R 0 = 0.8, and k = 5.…”

Section: A Regime Imentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Rotobreathers in a chain of coupled elastic rotators

Savin,

Sunagatova,

Dmitriev

2021

Preprint

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“…By now, DNVMs have been studied in various materials, for example, in nonlinear chains [12,[16][17][18][19], carbyne [13], graphene [15,[20][21][22][23], diamond [14], and face-centered cubic (fcc) and body-centered cubic (bcc) metals [17,[24][25][26][27][28]. DNVMs with frequencies outside the phonon band of the lattice can be used for obtaining new types of DBs by superimposing a localizing function [20,25,[29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Effect of the stiffness of interparticle bonds on properties of delocalized nonlinear vibrational modes in an fcc lattice

et al. 2022

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“…Продолжаются исследования в атомистических моделях металлов и сплавов, а также их влияние на различные макроскопические свойства структур [33 -40]. Например, в работе [38] впервые показано, что ДБ могут как увеличивать теплоемкость кристаллов, так и уменьшать ее, в зависимости от их типа.…”

Section: Introductionunclassified

Molecular dynamic analysis of energy transport in a Pt3Al crystal under the impact in the spectrum gap frequency

Zakharov

Korznikova

2021

Lett. Mater.

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Сonstant search for new mechanisms of energy transport associated with a decrease in losses results in the active investigation of the possibilities of generating mobile excitations at frequencies outside the phonon spectrum. The effect of energy transfer at frequencies outside the band, possible in case if the excitation amplitude exceeds the critical value, was previously actively studied in reduced dimension systems. In this work, for the first time, the possibility and features of energy transfer at frequencies outside the phonon spectrum of a crystal are studied on the Pt 3 Al biatomic lattice, the corresponding excitations in which are created through the implementation of harmonic vibrations at frequencies lying in the phonon spectrum gap. It was found that as a result of the initial impact, the parameters of which lie in the band gap, at the first stage, discrete breathers are formed on aluminum atoms lying in the immediate vicinity of the impact zone. The threshold value of the energy required to excite breathers, determined by the amplitude and frequency of exposure, decreases as the frequency approaches the boundary of the slit in the spectrum. At the second stage, after the end of the harmonic action, a soliton-like wave is formed, moving along the crystal with an average speed of 4.5 km / s. The wave velocity is practically independent of the initial disturbance amplitude. The shape and amplitude of the moving wave are weakly dependent on the initial frequency. Significant differences in the profile and a tendency to bimodality were revealed only when exposed to frequencies close to the lower limit of the spectrum. The results obtained contribute to a fundamental understanding of the features of the propagation of elastic disturbances in nonlinear media in case of forbidden zones region impacts.

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Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain

Cited by 31 publications

References 124 publications

Rotobreathers in a chain of coupled elastic rotators

Rotobreathers in a chain of coupled elastic rotators

Effect of the stiffness of interparticle bonds on properties of delocalized nonlinear vibrational modes in an fcc lattice

Molecular dynamic analysis of energy transport in a Pt3Al crystal under the impact in the spectrum gap frequency

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