A numerical investigation of the pinning phenomenon in quasi-periodic Frenkel Kontorova model under an external force
type: Item
instance of: scholarly article
title: A numerical investigation of the pinning phenomenon in quasi-periodic Frenkel Kontorova model under an external force
zbMATH Open document ID: 1404.82038
author: Hossein Salahshoor
author: Rafael de la Llave
published in: Journal of Statistical Physics
publication date: 2018-12-06T00:00:00Z
Mathematics Subject Classification ID: 82C20
Mathematics Subject Classification ID: 82D25
Mathematics Subject Classification ID: 82C80
Mathematics Subject Classification ID: 65C05
zbMATH DE Number: 6989909
zbMATH Keywords: Frenkel-Kontorova model
zbMATH Keywords: quasi crystals
zbMATH Keywords: pinning
zbMATH Keywords: dislocations
zbMATH Keywords: standard map
MaRDI profile type: Publication
full work available at URL: s10955-018-2132-8
OpenAlex ID: W2886819238
cites work: Q4826750
cites work: The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
cites work: Scaling exponents at the transition by breaking of analyticity for incommensurate structures
cites work: KAM Theory for Quasi-periodic Equilibria in One-Dimensional Quasi-periodic Media
cites work: Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting
cites work: The analyticity breakdown for Frenkel-Kontorova models in quasi-periodic media: numerical explorations
cites work: Barriers to transport and mixing in volume-preserving maps with nonzero flux
cites work: Resonant equilibrium configurations in quasi-periodic media: perturbative expansions
cites work: Resonant Equilibrium Configurations in Quasi-Periodic Media: KAM Theory
cites work: A tutorial on KAM theory.
cites work: Q4840149
cites work: Quantitative quasiperiodicity
cites work: Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems
cites work: The Kolmogorov-Smirnov Test for Goodness of Fit
cites work: On the numerical computation of Diophantine rotation numbers of analytic circle maps
cites work: Computation of derivatives of the rotation number for parametric families of circle diffeomorphisms
Wikidata QID: Q129405361
DOI: 10.1007/S10955-018-2132-8
description: scientific article; zbMATH DE number 6989909