Interaction of moving discrete breathers with vacancies

Cuevas, J.; Archilla, Juan F. R.; Sánchez-Rey, Bernardo; Romero, F. R.

doi:10.1016/j.physd.2005.12.022

Cited by 30 publications

(19 citation statements)

References 19 publications

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“…Vacancies have been seen to move in simulations [17,18] but this has not yet been verified in specific models for muscovite.…”

Section: Moving Vacanciesmentioning

confidence: 94%

On the charge of quodons

Archilla¹,

Russell²

2016

LoM

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Muscovite mica is a mineral in which the tracks of charged swift particles, from radioactivity or cosmic rays, can be recorded and made visible by decoration with the mineral magnetite. Also, the tracks of quasi-one-dimensional lattice excitations, called quodons, moving along close-packed directions can be recorded. Most quodon tracks evolve from nuclear recoils following decay of the radioactive isotope . We analyze the possible results taking into account charge, energy and momentum conservation and considering the possible ionization states of the K atoms, which can be intrinsic localized modes, solitons, kinks or crowdions, travelling charge states and combinations of them.

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“…Vacancies have been seen to move in simulations [17,18] but this has not yet been verified in specific models for muscovite.…”

Section: Moving Vacanciesmentioning

confidence: 94%

On the charge of quodons

Archilla¹,

Russell²

2016

LoM

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“…The first studies of the DB interaction with the vacancy were carried out in the framework of a 1D Frenkel-Kontorova model [30,31]. It has been shown that a moving DB can cause vacancy migration.…”

Section: Dbs and Crystal Lattice Defectsmentioning

confidence: 99%

“…It has been shown that a moving DB can cause vacancy migration. Moreover, a significant role in this process is played by a nonlinear vibrational mode localized on the atom adjacent to the vacancy [31]. In frame of the same model migration of interstitial atom due to the interaction with moving DB has been studied [32].…”

Section: Dbs and Crystal Lattice Defectsmentioning

confidence: 99%

Discrete breathers in metals and ordered alloys

Dmitriev

2017

NOLTA

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It has been rigorously proved that nonlinear lattices can support spatially localized and periodic in time vibrational modes called either discrete breathers (DBs) or intrinsic localized modes (ILMs). DB does not radiate its energy because its frequency does not belong to the spectrum of small-amplitude running waves. Discreteness and nonlinearity are often said to be the two major necessary conditions for the existence of DBs. Interatomic interactions are nonlinear and the discovery of DBs in crystals, which are nonlinear lattices at the atomic scale, was just a question of time. The first successful attempt to excite DB in alkali-halide NaI crystal in molecular dynamics simulations dates back to 1997. However, the first report on DBs in pure metals was delayed till 2011. In this review we discuss the reason of this delay, describe the latest results on DBs in pure metals and ordered alloys, and outline the open problems in this area.

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“…The first studies of the DB interaction with the vacancy were carried out in the framework of a one-dimensional Frenkel-Kontorova model with nonlinear interaction between particles [74,75]. It has been shown that a moving DB can cause vacancy migration.…”

Section: Interaction Of Db With Lattice Defectsmentioning

confidence: 99%

“…It has been shown that a moving DB can cause vacancy migration. Moreover, a significant role in this process is played by a nonlinear vibrational mode, localized on the atom adjacent to the vacancy [75]. In frame of the same model the interaction of mobile DB with the interstitial atom has been investigated [76].…”

Section: Interaction Of Db With Lattice Defectsmentioning

confidence: 99%

Discrete breathers in crystals: achievements and open problems

Dmitriev

2016

LoM

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It has long been known that periodic discrete systems containing defects, in addition to traveling waves, allow for the existence of vibrational modes localized on defects. It turned out that if a periodic discrete system is nonlinear, it can support exact solutions in the form of spatially localized vibrational modes even in the absence of defects. Since all the nodes of the system are identical, only a special choice of initial conditions can distinguish the group of nodes, on which such localized mode, called discrete breather (DB), will be excited. Frequency of DB must lie outside the spectrum of small-amplitude traveling waves. Do not resonating with traveling waves and do not losing energy to their excitation, theoretically DB can maintain its vibrational energy forever, in the absence of thermal vibrations and other perturbations. Crystals are nonlinear discrete systems and discovery of DB in them was only a matter of time. Experimental studies of DB run into considerable technical difficulties, and the main tool of their study is by far the atomistic computer simulations. Having gained confidence in the existence of DB in crystals, we still poorly understand their role in solid state physics. This review covers issues specific to the physics of real crystals, which were not considered in the classical works on DB. In particular, it discusses the interaction of moving DB with crystal lattice defects, analyzes the influence of the elastic deformation of the lattice on the DB properties, presents recent works on the effect of nonlinear lattice excitations on the electron subsystem of the crystal, etc.

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Interaction of moving discrete breathers with vacancies

Cited by 30 publications

References 19 publications

On the charge of quodons

On the charge of quodons

Discrete breathers in metals and ordered alloys

Discrete breathers in crystals: achievements and open problems

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