NON-KAM (KOLMOGOROV-ARNOLD-MOSER) INCOMMENSURATE STATES OF THE DISCRETE FRENKEL-KONTOROVA CHAIN.

S. E. Burkov; Ya G. Sinai

doi:10.1051/jphyslet:01984004509040900

NON-KAM (KOLMOGOROV-ARNOLD-MOSER) INCOMMENSURATE STATES OF THE DISCRETE FRENKEL-KONTOROVA CHAIN.

S. E. Burkov
, Ya G. Sinai

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The depinning phase transition in the discrete Frenkel-Kontorova model is considered. It is found that there exists a set of irrational periodicities such that the chain is pinned at any periodic potential strength. Every Cantorus describing the pinned phase is shown to belong to the stochastic layer.

Original language	English (US)
Pages (from-to)	409-412
Number of pages	4
Journal	Journal de physique. Lettres
Volume	45
Issue number	9
DOIs	https://doi.org/10.1051/jphyslet:01984004509040900
State	Published - 1984

All Science Journal Classification (ASJC) codes

General Engineering

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10.1051/jphyslet:01984004509040900

Cite this

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title = "NON-KAM (KOLMOGOROV-ARNOLD-MOSER) INCOMMENSURATE STATES OF THE DISCRETE FRENKEL-KONTOROVA CHAIN.",

abstract = "The depinning phase transition in the discrete Frenkel-Kontorova model is considered. It is found that there exists a set of irrational periodicities such that the chain is pinned at any periodic potential strength. Every Cantorus describing the pinned phase is shown to belong to the stochastic layer.",

author = "Burkov, \{S. E.\} and Sinai, \{Ya G.\}",

year = "1984",

doi = "10.1051/jphyslet:01984004509040900",

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volume = "45",

pages = "409--412",

journal = "Journal de physique. Lettres",

issn = "0302-072X",

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AU - Burkov, S. E.

AU - Sinai, Ya G.

PY - 1984

Y1 - 1984

N2 - The depinning phase transition in the discrete Frenkel-Kontorova model is considered. It is found that there exists a set of irrational periodicities such that the chain is pinned at any periodic potential strength. Every Cantorus describing the pinned phase is shown to belong to the stochastic layer.

AB - The depinning phase transition in the discrete Frenkel-Kontorova model is considered. It is found that there exists a set of irrational periodicities such that the chain is pinned at any periodic potential strength. Every Cantorus describing the pinned phase is shown to belong to the stochastic layer.

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UR - https://www.scopus.com/pages/publications/0021428133#tab=citedBy

U2 - 10.1051/jphyslet:01984004509040900

DO - 10.1051/jphyslet:01984004509040900

M3 - Article

AN - SCOPUS:0021428133

SN - 0302-072X

VL - 45

SP - 409

EP - 412

JO - Journal de physique. Lettres

JF - Journal de physique. Lettres

IS - 9

ER -

NON-KAM (KOLMOGOROV-ARNOLD-MOSER) INCOMMENSURATE STATES OF THE DISCRETE FRENKEL-KONTOROVA CHAIN.

Abstract

All Science Journal Classification (ASJC) codes

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