Dynamics of domain walls in an incommensurate phase near the lock-in transition:One-dimensional crystal model

Dmitriev, Sergey V.; Shigenari, Takeshi; Vasiliev, Aleksey A.; Abe, Kohji

doi:10.1103/physrevb.55.8155

Cited by 42 publications

(33 citation statements)

References 18 publications

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“…For many applications, e.g., in the solid state physics, it is important to know the maximal values and the sign of the maximal elastic strain observed in N -soliton collisions [10,11,12,13,14,15,46]. Large tensile or compressive stress can result in phase transformations [47,48], or defect nucleation and fracture can happen under tensile stress above the strength limit of the considered medium [49].…”

Section: Discussionmentioning

confidence: 99%

“…Solitons (or solitary waves) are present in a wide range of physics such as optics [1,2], superconducting Josephson junction arrays [3,4,5], particle and nuclear physics [6,7], condensed matter physics [8,9,10,11,12,13,14,15], and many others [16,17,18,19]. They are robust with respect to small perturbations, they can travel long distances maintaining their shape, and survive collisions with each other.…”

Section: Introductionmentioning

confidence: 99%

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Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

2018

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Abstract. In our recent study the maximal values of kinetic and potential energy densities that can be achieved in the collisions of N slow kinks in the sine-Gordon model were calculated analytically (for N = 1, 2, and 3) and numerically (for 4 ≤ N ≤ 7). However, for many physical applications it is important to know not only the total potential energy density but also its two components (the on-site potential energy density and the elastic strain energy density) as well as the extreme values of the elastic strain, tensile (positive) and compressive (negative). In the present study we give (i) the two components of the potential energy density and (ii) the extreme values of elastic strain. Our results suggest that in multisoliton collisions the main contribution to the potential energy density comes from the elastic strain, but not from the on-site potential. It is also found that tensile strain is usually larger than compressive strain in the core of multi-soliton collision.PACS. 05.45.Yv Solitons -11.10.Lm Nonlinear or nonlocal theories and models -45.50.Tn Collisions

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

2018

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“…The examples are mechanics of granular and feasible media [23], fabric mechanics [24], mechanics of periodic structures and composite materials [16], physics and mechanics of dielectric crystals [9][10][11][12][13][14][15][16][17][18]25,26], and others.…”

Section: Finite Size Particles Micropolar Continuummentioning

confidence: 99%

Many-Field Theory for Crystals Containing Particles with Rotational Degrees of Freedom

et al. 2003

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We give a brief review of some generalized continuum theories applied to the crystals with complicated microscopic structure. Three different ways of generalization of the classical elasticity theory are discussed. One is the high-gradient theory, another is the micropolar type theory and the third one is the many-field theory. The importance of the first two types of theories has already been established, while the theory of the third type still has to be developed. With the use of 1D and 2D examples we show for each of these theories where they can be and should be applied, separately or in a combination.

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“…В представленном в статье многопо-левом подходе иерархические системы моделей структурных периодических систем строятся на основе введения макроячеек и, соответственно, увеличения используе-мого при моделировании числа функций. Разработка и применение многополевого подхода в задачах динамики структурных систем представлены в [1][2][3], многополе-вое моделирование коротковолновых краевых эффектов рассмотрено в [4], в статье [5] многополевой подход используется для изучения структурных переходов в кри-сталлах. В настоящей статье представлены методика и возможности многополевого подхода для моделирования устойчивости структурных систем.…”

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Многополевое Моделирование Устойчивости Дискретной Многозвенной И Структурной Оболочечной Систем

Васильев¹,

Vasil'ev²

2009

J. Samara State Tech. Univ., Ser. Phys. & Math. Sci.

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Dynamics of domain walls in an incommensurate phase near the lock-in transition:One-dimensional crystal model

Cited by 42 publications

References 18 publications

Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

Many-Field Theory for Crystals Containing Particles with Rotational Degrees of Freedom

Многополевое Моделирование Устойчивости Дискретной Многозвенной И Структурной Оболочечной Систем

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