Highly Enhanced Transport by Supersonic <i>N</i>‐Crowdions

Dmitriev, Sergey V.; Medvedev, N. N.; Chetverikov, A. P.; Zhou, Kun; Velárde, Manuel G.

doi:10.1002/pssr.201700298

Cited by 25 publications

(22 citation statements)

References 45 publications

(51 reference statements)

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“…1(a). Exact static kink solutions were derived iteratively from the two-point map (9) starting from any admissible initial value φ n . The existence of a one-parameter set of static kinks positioned arbitrarily with respect to the lattice ensures the existence of the zero frequency Goldstone translational mode, see Fig.…”

Section: Discussionmentioning

confidence: 99%

“…[2][3][4][5][6]. The case of strong discreteness is of particular interest and it is encountered in many applications, for example, in the description of arrays of Josephson junctions [7], dissipative nonlinear discrete systems [8], dynamics of crowdions [9][10][11][12][13] and dislocations [14][15][16] in crystals, propagation of domain walls in magnetic materials [17], motion of spring-mass chains [18], in the discussion of electric charge transport in molecular chains [19]. The consideration of the strongly discrete (anti-continuum) limit is a well-known approach aiming towards the analytical treatment of discrete breathers [20,21].…”

Section: Introductionmentioning

confidence: 99%

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Fischer Tropsch Synthesis: The Promoter Effects, Operating Conditions, and Reactor SynthesisThe authors gratefully acknowledge University of Sistan and Baluchestan for helping and supporting this research.Majid Sarkari:Young Researchers Club, Shiraz Branch, Islamic Azad University, Shiraz, Iran. Farhad Fazlollahi: Department of Chemical Engineering, Science and Research Branch, Islamic Azad University, Fars, Iran. Hossein Atashi: Department of Chemical Engineering, Faculty of Engineering, University of Sis

Sarkari¹,

Fazlollahi²,

Atashi³

2018

Energyo

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The two major effects observed in collisions of the continuum φ 4 kinks are (i) the existence of critical collision velocity v c above which the kinks always emerge from the collision and (ii) the existence of the escape windows for multi-bounce collisions with the velocity below v c , associated with the energy exchange between the kink's internal and translational modes. The potential merger (for sufficiently low collision speeds) of the kink and antikink produces a bion with oscillation frequency ω B , which constantly radiates energy, since its higher harmonics are always within the phonon spectrum. Similar effects have been observed in the discrete φ 4 kink-antikink collisions for relatively weak discreteness. Here we analyze kink-antikink collisions in the regime of strong discreteness considering an exceptional discretization of the φ 4 field equation where the static Peierls-Nabarro potential is precisely zero and the not-too-fast kinks can propagate practically radiating no energy. Several new effects are observed in this case, originating from the fact that the phonon band width is small for strongly discrete lattices and for even higher discreteness an inversion of the phonon spectrum takes place with the short waves becoming low-frequency waves.When the phonon band is narrow, not a bion but a discrete breather with frequency ω DB and all higher harmonics being outside the phonon band is formed. When the phonon spectrum is inverted, the kink and antikink become mutually repulsive solitary waves with oscillatory tails, and their collision is possible only for velocities above a threshold value sufficient to overcome their repulsion.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fischer Tropsch Synthesis: The Promoter Effects, Operating Conditions, and Reactor SynthesisThe authors gratefully acknowledge University of Sistan and Baluchestan for helping and supporting this research.Majid Sarkari:Young Researchers Club, Shiraz Branch, Islamic Azad University, Shiraz, Iran. Farhad Fazlollahi: Department of Chemical Engineering, Science and Research Branch, Islamic Azad University, Fars, Iran. Hossein Atashi: Department of Chemical Engineering, Faculty of Engineering, University of Sis

Sarkari¹,

Fazlollahi²,

Atashi³

2018

Energyo

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“…This self-focusing condition for atoms, in contrast to the condition for hard balls, is not strict, but it works quite well at least for the Morse pairwise interactions as shown in [48].…”

Section: Condition Of Self-focusing Atomic Collisionsmentioning

confidence: 96%

“…In the present study we continue the analysis of supersonic crowdion dynamics [45 -49] by analyzing the effect of interatomic potentials on their path length. 2D triangular lattice is considered to speed up the simulations and taking into account that the results obtained earlier for 2D [47] and 3D [48] Morse lattices are in a very good qualitative agreement and differ only quantitatively. Besides, crowdions in 2D triangular lattices have been considered in relation to mica muscovite crystal, where nonlinear excitations can propagate in the potassium monatomic layer [37,39].…”

Section: Introductionmentioning

confidence: 99%

Effect of interatomic potentials on mass transfer by supersonic 2‑crowdions

et al. 2019

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An interstitial atom placed into a close-packed atomic row is called crowdion. Crowdions are very efficient in mass transfer in the crystal lattice since they are highly mobile, soliton-like objects. It has been demonstrated recently that single interstitial atom can move along a close-packed atomic row with a supersonic speed in two different modes, either as a classical 1-crowdion or as a 2-crowdion. The difference is that in the latter case two atoms move with a high speed at the same time, while in the former case only one atom has high speed. It has been shown that the 2-crowdion requires lesser energy to initiate mass transfer and it travels longer distance if it has same energy with the 1-crowdion. It is important to compare the efficiency of mass transfer by 2-crowdions in different materials. Materials have different properties because the interatomic interactions between various atoms are different. In the present study we demonstrate that the most important characteristic of the interatomic potentials, that has effect on the crowdion path length, is the energy of the interatomic bond at the distance between two atoms equal to a half of the equilibrium interatomic distance. This conclusion is justified by the condition of self-focusing propagation of supersonic crowdions, that is the collision velocity of the atoms should not exceed the value when they approach each other closer than half interatomic distance. As an example, mass transfer by 1-and 2-crowdions is considered in two-dimensional triangular lattice with Morse and Born-Mayer potentials.

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“…Для возбуждения ДБ использовались начальные условия, определяемые выражениями (1) и (2), содержа-щими физически ясные параметры [38]. В качестве продолжения исследования локализован-ных нелинейных возбуждений в бериллии и других ГПУ-металлах, в последующих работах предполагается изучение движения сверхзвуковых N-краудионов [69] и бризерных краудионов [70].…”

Section: заключениеunclassified

Свойства Движущихся Дискретных Бризеров В Бериллии

Бачурина¹,

Мурзаев²,

Семенов³

et al. 2018

Физика Твердого Тела

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Discrete breathers (DBs) have been described among pure metals with face-centered cubic (FCC) and body-centered cubic (BCC) lattice, but for hexagonal close-packed (HCP) metals, their properties are little studied. In this paper, the properties of standing and moving DBs in beryllium HCP metal are analyzed by the molecular dynamics method using the many-body interatomic potential. It is shown that the DB is localized in a close-packed atomic row in the basal plane, while oscillations with a large amplitude along the close-packed row are made by two or three atoms, moving in antiphase with the nearest neighbors. Dependences of the DB frequency on the amplitude, as well as the velocity of the DB on its amplitude and on parameter δ, which determines the phase difference of the oscillations of neighboring atoms, are obtained. The maximum velocity of the DB movement in beryllium reaches 4.35 km/s, which is 33.7% of the velocity of longitudinal sound waves. The obtained results supplement our concepts about the mechanisms of localization and energy transport in HCP metals.

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Highly Enhanced Transport by Supersonic N‐Crowdions

Cited by 25 publications

References 45 publications

Effect of interatomic potentials on mass transfer by supersonic 2‑crowdions

Свойства Движущихся Дискретных Бризеров В Бериллии

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