Discrete Breathers for Understanding Reconstructive Mineral Processes at Low Temperatures

Archilla, Juan F. R.; Cuevas, J.; Alba, María D.; Naranjo, Moisés; Trillo, J. M.

doi:10.1021/jp0631228

Cited by 36 publications

(58 citation statements)

References 28 publications

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“…The particular fast kinetics of the reconstructive transformation of muscovite has been related to the existence of transversal breathers or localized nonlinear vibrations [19][20][21]. However, they are not good candidates for quodons, as they move slowly, radiate, and have energies of only a few eV.…”

Section: Introductionmentioning

confidence: 99%

Moving Excitations in Cation Lattices

et al. 2013

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We consider a model made out of identical particles that repel each other with the Coulomb interaction. We study numerically and analytically the existence and properties of supersonic kinks, showing that they are very easy to be produced and propagate long distances. They have a wide range of velocities and energies. We are motivated by a special characteristic of the muscovite mica mineral. Tracks from particles such as muons can be distinguished in a complex decoration, but the only explanation to most of the tracks is localized excitations called quodons. They move in the cation lattice, sandwiched between the silicate layers, along the lattice directions. Quodons have also been observed experimentally [EPL 78 (2007)

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Section: Introductionmentioning

confidence: 99%

Moving Excitations in Cation Lattices

et al. 2013

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“…Transversal breathers related with the kinetics [4,5,6] have been found in the cation layer, they have small energies below a few eV, move slowly and radiating, therefore they are not good candidates for quodons. We advance the hypothesis that one reason could be that the ion lattice is made out of repulsive cations, K + ions in muscovite.…”

Section: Introductionmentioning

confidence: 99%

Supersonic Kinks in Coulomb Lattices

Archilla

Kosevich

Jiménez

et al. 2013

Nonlinear Systems and Complexity

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Summary. There exist in nature examples of lattices of elements for which the interaction is repulsive, the elements are kept in place because different reasons, as border conditions, geometry (e.g., circular) and, certainly, the interaction with other elements in the system, which provides an external potential. A primer example are layered silicates as mica muscovite, where the potassium ions form a two dimensional lattice between silicate layers. We propose an extremely simplified model of this layer in order to isolate the properties of a repulsive lattice and study them. We find that they are extremely well suited for the propagation of supersonic kinks and multikinks. Theoretically, they may have as much energy and travel as fast as desired. This striking results suggest that the properties of repulsive lattices may be related with some yet not fully explained direct and indirect observations of lattice excitations in muscovite.

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“…Дискретные бризеры (DB -от английского Discrete Breather) -это локализованные в пространстве и перио-дические во времени возбуждения большой амплитуды, широко распространенные в нелинейных дискретных системах [17][18][19][20]. Они имеют частоты выше или ниже фононной зоны; поэтому DB практически не взаимо-действуют с фононами, и их времена жизни велики по сравнению с фононными.…”

Section: Introductionunclassified

Effect of discrete breathers on plasticity and strength of crystals

Dubinko¹,

Dubinko²,

Дмитриев³

2013

LoM

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Рассмотрены модели взаимодействия дислокаций с дискретными бризерами. Атомные колебания большой амплитуды вызывают модуляцию энергии активации отрыва дислокаций от стопоров, что может значительно ускорять пластическую деформацию в условиях доста-точно высокой концентрации бризеров. Такие условия могут реализоваться при облучении кристаллов бы-стрыми частицами или при достаточно высоких темпе-ратурах. Проведено сравнение моделей с эксперимен-тальными данными для ряда металлов. Обсуждается возможная роль дискретных бризеров в процессе термо-активированного разрушения растянутого графена.Ключевые слова: дискретные бризеры, дислокации, пласти-ческая деформация, графен, разрушение.Models of the dislocation interaction with discrete breathers (DB) are considered. Large amplitude oscillations of atoms about their equilibrium positions in the lattice cause time-periodic modulations of the potential barriers for the dislocation unpinning from obstacles, which can facilitate plastic deformation severely under sufficiently high DB concentration. Such conditions can be realized under irradiation of crystals with swift particles or under sufficiently high temperatures. The models are compared with experimental data on several metals. Possible role of discrete breathers in thermally activated fracture of graphene under tensile load is discussed.

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Discrete Breathers for Understanding Reconstructive Mineral Processes at Low Temperatures

Cited by 36 publications

References 28 publications

Moving Excitations in Cation Lattices

Moving Excitations in Cation Lattices

Supersonic Kinks in Coulomb Lattices

Effect of discrete breathers on plasticity and strength of crystals

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