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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Format: | Article |
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Voronezh State University
2018-12-01
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Series: | Конденсированные среды и межфазные границы |
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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. |
first_indexed | 2024-12-12T15:23:33Z |
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id | doaj.art-bb38a0fcd72b4eb49fa2b2195fedb105 |
institution | Directory Open Access Journal |
issn | 1606-867X 1606-867X |
language | English |
last_indexed | 2024-12-12T15:23:33Z |
publishDate | 2018-12-01 |
publisher | Voronezh State University |
record_format | Article |
series | Конденсированные среды и межфазные границы |
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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