ANALYSIS OF STATISTICAL CHARACTERISTICS OF QUASIBREATHER IN MONOATOMIC FCC METALS Au, Cu, Ni, Pd AND Pt

The molecular dynamics method is used to calculate and analyze the statistical characteristics of a quasi-breather with a hard type of nonlinearity in monoatomic FCC metals, for example, Cu, Au, Pt, Ni and Pd. Within the framework of this model, the following statistical characteristics and depende...

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Main Authors: Alexander M. Eremin, Pavel V. Zakharov, Mikhail D. Starostenkov, Alexey S. Vdovin
Format: Article
Language:English
Published: Voronezh State University 2018-12-01
Series:Конденсированные среды и межфазные границы
Subjects:
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author Alexander M. Eremin
Pavel V. Zakharov
Mikhail D. Starostenkov
Alexey S. Vdovin
author_facet Alexander M. Eremin
Pavel V. Zakharov
Mikhail D. Starostenkov
Alexey S. Vdovin
author_sort Alexander M. Eremin
collection DOAJ
description The molecular dynamics method is used to calculate and analyze the statistical characteristics of a quasi-breather with a hard type of nonlinearity in monoatomic FCC metals, for example, Cu, Au, Pt, Ni and Pd. Within the framework of this model, the following statistical characteristics and dependencies were calculated for quasi-breathers: a grouped statistical series of absolute and relative frequencies, a polygon of absolute and relative frequencies, a histogram of relative frequencies, an empirical distribution function, an estimate of the mathematical expectation and variance of the original sample. The densities of phonon states are calculated for all crystals. Statistics allow you to understand the causes of the destruction of breathers and more fully describe the process of their dissipation of energy.
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spelling doaj.art-bb38a0fcd72b4eb49fa2b2195fedb1052022-12-22T00:20:19ZengVoronezh State UniversityКонденсированные среды и межфазные границы1606-867X1606-867X2018-12-0120459660310.17308/kcmf.2018.20/628ANALYSIS OF STATISTICAL CHARACTERISTICS OF QUASIBREATHER IN MONOATOMIC FCC METALS Au, Cu, Ni, Pd AND PtAlexander M. Eremin0Pavel V. Zakharov1Mikhail D. Starostenkov2Alexey S. Vdovin3Cand. Sci. (Phys.-Math.), Associate Professor, Shukshin Altai State Humanities Pedagogical University, Biysk, RussiaCand. Sci. (Phys.-Math.), Associate Professor, Shukshin Altai State Humanities Pedagogical University, Biysk, RussiaDr. Sci. (Phys.-Math.), Full Professor, Head of the Department of Physics, Polzunov Altai State Technical University, Barnaul, RussiaSenior Lecturer, Shukshin Altai State Humanities Pedagogical University, Biysk, RussiaThe molecular dynamics method is used to calculate and analyze the statistical characteristics of a quasi-breather with a hard type of nonlinearity in monoatomic FCC metals, for example, Cu, Au, Pt, Ni and Pd. Within the framework of this model, the following statistical characteristics and dependencies were calculated for quasi-breathers: a grouped statistical series of absolute and relative frequencies, a polygon of absolute and relative frequencies, a histogram of relative frequencies, an empirical distribution function, an estimate of the mathematical expectation and variance of the original sample. The densities of phonon states are calculated for all crystals. Statistics allow you to understand the causes of the destruction of breathers and more fully describe the process of their dissipation of energy.crystalquasi-breatherdiscrete breathernonlinear dynamicssolitonmolecular dynamics.
spellingShingle Alexander M. Eremin
Pavel V. Zakharov
Mikhail D. Starostenkov
Alexey S. Vdovin
ANALYSIS OF STATISTICAL CHARACTERISTICS OF QUASIBREATHER IN MONOATOMIC FCC METALS Au, Cu, Ni, Pd AND Pt
Конденсированные среды и межфазные границы
crystal
quasi-breather
discrete breather
nonlinear dynamics
soliton
molecular dynamics.
title ANALYSIS OF STATISTICAL CHARACTERISTICS OF QUASIBREATHER IN MONOATOMIC FCC METALS Au, Cu, Ni, Pd AND Pt
title_full ANALYSIS OF STATISTICAL CHARACTERISTICS OF QUASIBREATHER IN MONOATOMIC FCC METALS Au, Cu, Ni, Pd AND Pt
title_fullStr ANALYSIS OF STATISTICAL CHARACTERISTICS OF QUASIBREATHER IN MONOATOMIC FCC METALS Au, Cu, Ni, Pd AND Pt
title_full_unstemmed ANALYSIS OF STATISTICAL CHARACTERISTICS OF QUASIBREATHER IN MONOATOMIC FCC METALS Au, Cu, Ni, Pd AND Pt
title_short ANALYSIS OF STATISTICAL CHARACTERISTICS OF QUASIBREATHER IN MONOATOMIC FCC METALS Au, Cu, Ni, Pd AND Pt
title_sort analysis of statistical characteristics of quasibreather in monoatomic fcc metals au cu ni pd and pt
topic crystal
quasi-breather
discrete breather
nonlinear dynamics
soliton
molecular dynamics.
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