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Relevant bibliographies by topics / Frenkel-Kontorova models

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Academic literature on the topic 'Frenkel-Kontorova models'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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Journal articles on the topic "Frenkel-Kontorova models"

1

Hu, Bambi, Bin Lin, and Jicong Shi. "Generalized Frenkel-Kontorova models." Physica A: Statistical Mechanics and its Applications 205, no. 1-3 (1994): 420–42. http://dx.doi.org/10.1016/0378-4371(94)90521-5.

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Baesens, C., and R. S. MacKay. "Gradient dynamics of tilted Frenkel-Kontorova models." Nonlinearity 11, no. 4 (1998): 949–64. http://dx.doi.org/10.1088/0951-7715/11/4/011.

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Forcadel, N., C. Imbert, and R. Monneau. "Homogenization of fully overdamped Frenkel–Kontorova models." Journal of Differential Equations 246, no. 3 (2009): 1057–97. http://dx.doi.org/10.1016/j.jde.2008.06.034.

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Hu, Bambi, and Jicong Shi. "Nonanalytic twist maps and Frenkel-Kontorova models." Physica D: Nonlinear Phenomena 71, no. 1-2 (1994): 23–38. http://dx.doi.org/10.1016/0167-2789(94)90180-5.

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Baesens, C., and R. S. MacKay. "Discommensuration theory and shadowing in Frenkel–Kontorova models." Physica D: Nonlinear Phenomena 216, no. 1 (2006): 179–84. http://dx.doi.org/10.1016/j.physd.2006.01.017.

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Catarino, Nuno R., and Robert S. MacKay. "Renormalization and Quantum Scaling of Frenkel–Kontorova Models." Journal of Statistical Physics 121, no. 5-6 (2005): 995–1014. http://dx.doi.org/10.1007/s10955-005-8671-9.

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MacKay, R. S. "The classical statistical mechanics of Frenkel-Kontorova models." Journal of Statistical Physics 80, no. 1-2 (1995): 45–67. http://dx.doi.org/10.1007/bf02178353.

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Sasaki, K., and L. M. Floria. "Symmetry-breaking commensurate states in generalised Frenkel-Kontorova models." Journal of Physics: Condensed Matter 1, no. 12 (1989): 2179–98. http://dx.doi.org/10.1088/0953-8984/1/12/003.

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Slijepčević, Siniša. "Stability of synchronization in dissipatively driven Frenkel-Kontorova models." Chaos: An Interdisciplinary Journal of Nonlinear Science 25, no. 8 (2015): 083108. http://dx.doi.org/10.1063/1.4928213.

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Treviño, Rodrigo. "Equilibrium Configurations for Generalized Frenkel–Kontorova Models on Quasicrystals." Communications in Mathematical Physics 371, no. 1 (2019): 1–17. http://dx.doi.org/10.1007/s00220-019-03557-7.

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Dissertations / Theses on the topic "Frenkel-Kontorova models"

1

Catarino, Nuno Ricardo. "Quantum statistical mechanics of generalised Frenkel-Kontorova models." Thesis, University of Warwick, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.412848.

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Slijepčević, Siniša. "Gradient dynamics of Frenkel-Kontorova models and twist maps." Thesis, University of Cambridge, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.624528.

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Al, Haj Mohammad. "Modèles discrets de dislocations : ondes progressives et dynamique de particules." Thesis, Paris Est, 2014. http://www.theses.fr/2014PEST1001/document.

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Ce travail se concentre sur l'étude de la dynamique des dislocations dans le réseau cristallin et il est découpé en deux parties : la première partie porte sur les mouvements horizontaux d'une chaîne d'atomes en interaction contenant une dislocation. Bien que, la deuxième partie traite de l'accumulation de dislocations formant ce qu'on appelle des murs de dislocations. Dans la première partie, nous considérons une généralisation complètement nonlinéaire des équations de diffusion de réaction discrète également appelée “modèles de Frenkel-Kontorova complètement amortis” qui décrivent la dynamiq

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4

Petar, Mali. "Nelinearna dinamika u okviru Frenkel-Kontorova modela pod dejstvom spoljašnjih periodičnih sila." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2015. https://www.cris.uns.ac.rs/record.jsf?recordId=95366&source=NDLTD&language=en.

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Ispitivan je generalisani Frenkel-Kontorova model pod dejstvom spolja&scaron;njih periodičnih sila, i njihov uticaj na &Scaron;apiro stepenike. Deformacija substratnog potencijala prouzrokuje pojavu velikih polucelih i drugih subharmonijskih stepenika u sistemu. Rezultati dobijeni u radu su od značaja u talasima i spinovima gustine naboja kao i u Džozefsonovim spojevima.<br>Properties of the Shapiro steps in dierentcommensurate structures of the ac + dc drivenFrenkel-Kontorova model with dierent generalizedsubstrate potential have been examined.Deviation

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Issa, Samar. "Méthodes variationnelles : Applications à l'analyse d'image et au modèle de Frenkel-Kontorova." Phd thesis, Université de La Rochelle, 2011. http://tel.archives-ouvertes.fr/tel-00808646.

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Cette thèse est décomposée en deux parties. La première est consacrée à l'étude de la restauration d'image et la seconde partie est consacrée à l'étude d'un modèle de Frenkel-Kontorova par des méthodes issues du calcul variationnel et des équations aux dérivées partielles. Au chapitre 1, nous présentons les questions essentielles que nous traiterons dans cette thèse, puis on fait des rappels sur les définitions et quelques propriétés d'espace des fonctions à variations bornées BV , l'espace d'Orlicz et le modèle de Frenkel-Kontorova. Au chapitre 2, nous montrons que les problèmes de minimisati

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Tragtenberg, Marcelo Henrique Romano. "Estudo de modelos para sistemas modulados magnéticos e estruturais." Universidade de São Paulo, 1993. http://www.teses.usp.br/teses/disponiveis/43/43133/tde-12062012-140736/.

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Estudamos o comportamento de modelos para sistemas modulados magnéticos e estruturais. A primeira parte deste trabalho e dedicada ao modelo de Ising com interações competitivas numa rede de Bethe, no limite de coordenação infinita, num campo magnético. Focalizamos nossa atenção no comportamento das fases comensuráveis na presença de campo. Obtivemos vários diagramas T H utilizando algoritmos numéricos muito mais eficientes do que a simples iteração do mapeamento associado ao modelo. Na segunda parte estudamos o modelo

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Dallagnollo, Patrícia Ternes. "Análise do estado single file da água em SWNTs mediante um modelo do tipo Frenkel-Kontorova." reponame:Repositório Institucional da UFSC, 2014. https://repositorio.ufsc.br/xmlui/handle/123456789/129137.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Física, Florianópolis, 2014.<br>Made available in DSpace on 2015-02-05T20:44:22Z (GMT). No. of bitstreams: 1 329034.pdf: 3218907 bytes, checksum: 0fd1865eba6b3cc7ec566060aa23930d (MD5) Previous issue date: 2014<br>Evidências experimentais e teóricas têm confirmado que a água apresenta alta mobilidade quando confinada em nanotubos de carbono de raio suficientemente pequeno, mas esses estudos divergem quanto aos resultados e apontam diferentes causas para este

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Walha, Sonda. "Construction de solutions particulières de types ondes progressives pour le modèle de Frenkel-Kontorova et pour l’équation des ondes régularisée." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMIR29.

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Cette thèse porte sur la construction de solutions particulières de type ondes progressives ou ondes planes pour différentes équations aux dérivées partielles (EDP) et en particulier le modèle de Frenkel-Kontorova et une équation des ondes régularisée. Ce mémoire s’articule comme suit. Le chapitre 1 est destiné à une introduction générale dans laquelle je présente une motivation physique et un résumé de mon travail. Le chapitre 2 est destiné à l’étude d’existence et d’unicité des ondes progressives avec le terme d’accélération. Ce modèle consiste d’un système d’ODE qui décrit le mouvement de p

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Woods, Colin. "Investigations into the interfacial interaction of graphene with hexagonal boron nitride." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/investigations-into-the-interfacial-interaction-of-graphene-with-hexagonal-boron-nitride(de99f43b-790f-4a32-b696-060ed700a5bd).html.

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This thesis, submitted to the University of Manchester, covers a range of topics related to current research in two-dimensional materials under the title: 'Investigations into the interfacial interaction of graphene with hexagonal boron nitride.'In the last decade, two-dimensional materials have become a rich source of original research and potential applications. The main advantage lies in the ability to produce novel composite structures, so-called 'layered heterostructures', which are only a few atomic layers thick. One can utilise the unique properties of several species of crystal separat

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Chou, Chung-I., and 鄒忠毅. "The Global and Local Behaviors of the Generalized Frenkel- Kontorova Model." Thesis, 1997. http://ndltd.ncl.edu.tw/handle/00981048338632405648.

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博士<br>淡江大學<br>物理學系<br>85<br>We have studied two generalized Frenkel-Kontorova (FK)models with cosh-type and Morse-type interaction. The globalbehaviors including the phase diagrams, the critical lines, thegeneralized fractal dimension and the singularity spectrum arecalculated, and their dependence on the nonlinearity parameteris discussed. A importance of these two model is that, thecritical exponents of the gap in the phonon spectrum, thecorrelation length, and the Peierls-Nabarro barrier

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Books on the topic "Frenkel-Kontorova models"

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Braun, Oleg M., and Yuri S. Kivshar. The Frenkel-Kontorova Model. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10331-9.

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Braun, Oleg M. The Frenkel-Kontorova Model: Concepts, Methods, and Applications. Springer Berlin Heidelberg, 2004.

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3

1959-, Kivshar Y. S., ed. The Frenkel-Kontorova model: Concepts, methods, and applications. Springer, 2003.

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Janssen, Ted, Gervais Chapuis, and Marc de Boissieu. Origin and stability. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198824442.003.0006.

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The origin of the stability of aperiodic systems is very difficult to answer. Often the terms ‘competitive forces’ or ‘frustration’ have been proposed as the origin of stability. The role of Fermi surfaces and Brillouin zone boundary have also been invoked. This chapter deals with the numerous attempts which have been proposed for a better understanding. First, the Landau theory of phase transition, which has often been applied to understand the stability of incommensurate and composite systems, is presented here. Various semi-microscopic models are also proposed, in particular the Frenkel–Kon

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Braun, O. M., and Y. S. Kivshar. The Frenkel-Kontorova Model: Concepts, Methods, and Applications (Theoretical and Mathematical Physics). Springer, 2004.

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6

Mazo Torres, Juan José. Dos modelos de la teoría no lineal de la Física de la Materia Condensada: la cadena Frenkel-Kontorova y la escalera de uniones Josephson. Prensas Universitarias de Zaragoza, 2007. http://dx.doi.org/10.26754/uz.978-84-7733-928-1.

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Book chapters on the topic "Frenkel-Kontorova models"

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Braun, Oleg M., and Yuri S. Kivshar. "Physical Models." In The Frenkel-Kontorova Model. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10331-9_2.

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Braun, Oleg M., and Yuri S. Kivshar. "Two-Dimensional Models." In The Frenkel-Kontorova Model. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10331-9_11.

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Milchev, Andrey. "Destruction of Solitons in Frenkel — Kontorova Models with Anharmonic Interactions." In NATO ASI Series. Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3444-0_11.

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Braun, Oleg M., and Yuri S. Kivshar. "Introduction." In The Frenkel-Kontorova Model. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10331-9_1.

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Braun, Oleg M., and Yuri S. Kivshar. "Finite-Length Chain." In The Frenkel-Kontorova Model. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10331-9_10.

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Braun, Oleg M., and Yuri S. Kivshar. "Conclusion." In The Frenkel-Kontorova Model. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10331-9_12.

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Seeger, Alfred. "Historical Remarks." In The Frenkel-Kontorova Model. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10331-9_13.

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Braun, Oleg M., and Yuri S. Kivshar. "Kinks." In The Frenkel-Kontorova Model. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10331-9_3.

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Braun, Oleg M., and Yuri S. Kivshar. "Breathers." In The Frenkel-Kontorova Model. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10331-9_4.

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Braun, Oleg M., and Yuri S. Kivshar. "Ground State." In The Frenkel-Kontorova Model. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10331-9_5.

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Conference papers on the topic "Frenkel-Kontorova models"

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CATARINO, NUNO R., and ROBERT S. MACKAY. "QUANTUM STATISTICAL MECHANICS OF FRENKEL-KONTOROVA MODELS." In Proceedings of the Third Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704627_0034.

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Tang, Wenyan, Zhihua Qu, Yi Guo, and Younghun Kwon. "Analysis of controlled morse type Frenkel-Kontorova model." In 2011 IEEE 11th International Conference on Nanotechnology (IEEE-NANO). IEEE, 2011. http://dx.doi.org/10.1109/nano.2011.6144419.

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Guo, Yi, and Zhihua Qu. "Stability of coupled oscillators using Frenkel-Kontorova model." In 2009 IEEE International Conference on Robotics and Biomimetics (ROBIO). IEEE, 2009. http://dx.doi.org/10.1109/robio.2009.5420744.

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VANOSSI, A., J. RÖDER, A. R. BISHOP, and V. BORTOLANI. "NONLINEAR DYNAMICS OF A QUASIPERIODIC FRENKEL-KONTOROVA MODEL." In Proceedings of the Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704467_0043.

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Shumway, Shelly, and James P. Sethna. "Accelerating glassy relaxation in the Frenkel-Kontorova model." In Slow dynamics in condensed matter. AIP, 1992. http://dx.doi.org/10.1063/1.42451.

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Floría, L. M., J. J. Mazo, F. Falo, and P. J. Martínez. "AC DISSIPATIVE DYNAMICS OF THE FRENKEL-KONTOROVA MODEL." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814503877_0036.

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Martínez, Pedro J., and L. M. Floría. "TRANSITIONS IN A GENERALIZED FRENKEL-KONTOROVA TYPE MODEL." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814503877_0049.

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MEISTER, MATTHIAS. "BREATHER SCATTERING IN THE DISSIPATIVE DRIVEN FRENKEL-KONTOROVA MODEL." In Proceedings of the Third Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704627_0025.

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KÜRTEN, KARL E., та CHRISTIAN KRATTENTHALER. "MULTISTABILITY AND MULTI 2π-KINKS IN THE FRENKEL–KONTOROVA MODEL: AN APPLICATION TO ARRAYS OF JOSEPHSON JUNCTIONS". У Proceedings of the International Workshop. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709592_0025.

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