Long-period states of a crystal finite-size-particle system

Потекаев, А. И.; Samsonov, A. V.

doi:10.1007/s11182-009-9274-8

Cited by 10 publications

(7 citation statements)

References 55 publications

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“…In [21][22][23] we investigated the behavior of the simplest topological soliton, in particular, a kink. Here we have compared vibrational spectra of chains involving a single static kink.…”

Section: Discussionmentioning

confidence: 99%

Translationally invariant kink solutions of discrete ϕ4 models

Baimova

Bebikhov

Khare³

et al. 2010

Russ Phys J

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The properties of translationally invariant kinks in two discrete φ 4 models are compared with those of the kinks in a classical discrete model. The translationally invariant kink solutions can be found randomly with respect to the lattice sites, i.e., their Peierls-Nabarro potential is exactly equal to zero. It is shown that these solutions have a Goldstone mode, that is, they can move along the lattice at vanishingly small velocities. Thus, the translationally invariant kink is not trapped by the lattice and can be accelerated by an arbitrary small external field and, having an increased mobility, can transfer a range of physical quantities: matter, energy, momentum, etc.

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Section: Discussionmentioning

confidence: 99%

Translationally invariant kink solutions of discrete ϕ4 models

Baimova

Bebikhov

Khare³

et al. 2010

Russ Phys J

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“…Other important systems are metals and their alloys, which exhibit unique properties in nanostructured state as structural and functional materials. A special interest in this research perspective are ordered alloys with long-period structure [1][2][3][4][5][6][7][8][9][10], where an antiphase boundary (APB) represents a periodic structure defect [1, [11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Mechanisms of structure rearrangements in a nanofiber model of intermetallic compound Ni3Al, containing long-period antiphase boundaries, in the course of high-speed uniaxial tensile loading

et al. 2011

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Using the method of molecular dynamics, peculiarities of structure rearrangements in nanofiber of intermetallic compound Ni 3 Al, containing long-period antiphase boundaries are investigated in the course of high-speed uniaxial tensile loading along the direction <001>. Four principal stages of deformation (quasielastic, plastic, flow, and failure) are identified, in each of which characteristic features of structureenergy transformation peculiar for this stage are observed. It is found that the presence of planar defects in long-period nanostructure exerts a considerable effect on the variation of the onset of plastic deformation stage.

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“…From this perspective, it is important to look for ways and scientific principles forming the basis of technologies for classification and differentiation of particles by their size. The most advanced solution to meet these challenges is the use of physical and mathematical models [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Let us follow this approach to solve the problem of particle differentiation by size and shape.…”

Section: Introductionmentioning

confidence: 99%