Multistability of synchronous regimes in rotator ensembles

Kryukov, A. K.; Petrov, V. S.; Osipov, Grigory V.; Kurths, Jürgen

doi:10.1063/1.4938181

Cited by 5 publications

(4 citation statements)

References 37 publications

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“…Rotobreathers are dynamical modes with a single rotating particle while neighboring particles oscillate with the amplitude decreasing exponentially with distance from the rotating particle [29][30][31][32]. The works [33,34] are devoted to the analysis of the stability of rotobreathers. The effect of rotobreathers on heat capacity [29], thermal conductivity [35,36], and slow relaxation [37] was analyzed within the framework of one-dimensional rotator lattices.…”

Section: Introductionmentioning

confidence: 99%

Localized nonlinear excitations of a columnar chain of coronene molecules

Savin¹

2023

Preprint

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The nonlinear dynamics of a one-dimensional molecular crystal in the form of a chain of planar coronene molecules is analyzed. Using molecular dynamics, it is shown that a chain of coronene molecules supports acoustic solitons, rotobreathers, and discrete breathers. An increase in the size of planar molecules in a chain leads to an increase in the number of internal degrees of freedom. This results in an increase in the rate of emission of phonons from spatially localized nonlinear excitations and a decrease in their lifetime. Presented results contribute to the understanding of the effect of the rotational and internal vibrational modes of molecules on the nonlinear dynamics of molecular crystals.

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Section: Introductionmentioning

confidence: 99%

Localized nonlinear excitations of a columnar chain of coronene molecules

Savin¹

2023

Preprint

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“…Dynamics of coupled rotators has been analyzed in the early works by Benettin et al [17,18] and later in the works [19,20].…”

Section: Introductionmentioning

confidence: 99%

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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“…The first studies of rotobreathers by Takeno and Peyrard [22,23], and by Aubry [24] took place two and a half decades ago. Later stability of rotational modes in a system of coupled pendulums was analyzed in the works [25,26]. The effect of rotobreathers on thermal conductivity in one-dimensional rotator lattices was addressed in [27][28][29].…”

mentioning

confidence: 99%

“…Particles can have not only rotational, but also internal degrees of freedom. In fact, Josephson junction arrays are described by models having two degrees of freedom per site [37], but in most studies rotators with only angular degree of freedom were analyzed [22][23][24][25][26][27][28][29][30][31][32][33].…”

mentioning

confidence: 99%

The frequency spectrum of rotobreathers with many degrees of freedom

Savin¹

2022

EPL

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A rotobreather in a lattice of coupled particles with rotational degrees of freedom is a dynamical regime when one particle rotates and the other particles vibrate with amplitudes exponentially decaying with distance from the rotating particle. In addition to rotational, particles can have internal degrees of freedom. Here, the influence of internal degrees of freedom on the possible rotational frequencies of rotobreathers is discussed for two models: a chain of coupled elastic rotators and a molecular crystal of carbon nanotubes (CNTs). It is shown that additional degrees of freedom create forbidden frequency bands for rotobreathers. In the case of a CNT crystal, due to resonances with many internal degrees of freedom, the frequency spectrum of a rotobreather has a complex structure resembling a Cantor set.

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Multistability of synchronous regimes in rotator ensembles

Cited by 5 publications

References 37 publications

Localized nonlinear excitations of a columnar chain of coronene molecules

Localized nonlinear excitations of a columnar chain of coronene molecules

Rotobreathers in a chain of coupled elastic rotators

The frequency spectrum of rotobreathers with many degrees of freedom

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