The Frenkel Kontorova Model Concepts Methods And Applications Pdf

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HKS 6 Kivshar O. HKS 41 Braun Y.

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We apply the heat jet approach to realize atomic simulations at finite temperature for a Frenkel—Kontorova chain with moving dislocation. This approach accurately and efficiently controls the system temperature by injecting thermal fluctuations into the system from its boundaries, without modifying the governing equations for the interior domain.

This guarantees the dislocation propagating in the atomic chain without nonphysical damping or deformation. The system automatically returns back to the equilibrium state after all non-thermal motions pass away.

We further apply this approach to study the impact of periodic potential and temperature field on the velocity of moving dislocation. B 29 In following figures, u n is rescaled in the same way. Please wait a minute Article lookup. B , , Vol. E-mail: maotang pku. The schematic of atomic simulation for the F—K chain. A 81 DOI: Gurrutxaga-Lerma B Int.

Solids Struct. Li X, E W Phys. B 76 DOI: B 72 DOI: B 74 DOI: Andersen H C J. Hoover W G Phys. Bussi G, Parrinello M Phys. Hu G, Cao B Chin. B 23 DOI: B 22 DOI: Ai B, Hu B Phys. E 83 DOI: B 90 DOI: Tang S, Liu B Comm. Business Media DOI: Solids 54 DOI: Feng K J. Liu B, Tang S Phys.

E 96 DOI: B, , 24 9 : B, , 19 3 : No Suggested Reading articles found! Viewed Full text. Metrics Related Articles. Non-equilibrium atomic simulation for Frenkel—Kontorova model with moving dislocation at finite temperature. Full text.

Frenkel–Kontorova model

Haynes ManualsThe Haynes Author : Oleg M. Braun, Yuri S. Kivshar Description:This book presents an overview of the basic concepts, methods and applications of nonlinear low-dimensional solid state physics based on the Frenkel-Kontorova model and its generalizations. It allows a nonspecialist to acquire foundations in the interdisciplinary concepts and methods of both solid state physics and nonlinear science. It covers many important topics such as the nonlinear dynamics of discrete systems,the dynamics of solitons and their interaction, commensurate and incommensurate systems, statistical mechanics of nonlinear systems, and nonequilibrium dynamics of interacting many-body systems.

We apply the heat jet approach to realize atomic simulations at finite temperature for a Frenkel—Kontorova chain with moving dislocation. This approach accurately and efficiently controls the system temperature by injecting thermal fluctuations into the system from its boundaries, without modifying the governing equations for the interior domain. This guarantees the dislocation propagating in the atomic chain without nonphysical damping or deformation. The system automatically returns back to the equilibrium state after all non-thermal motions pass away. We further apply this approach to study the impact of periodic potential and temperature field on the velocity of moving dislocation. B 29

Oleg M. Braun, Yuri S. From the reviews: "[ This book presents an overview of the basic concepts, methods and applications of nonlinear low-dimensional solid-state physics based on the Frenkel--Kontorova model. Braun: This book presents an overview of the basic concepts, methods and applications of nonlinear low-dimensional solid-state.


The main requirements for a good physical model are simplicity and universality. DRM-free; Included format: PDF; ebooks can be used on all reading devices of the basic concepts, methods and applications of nonlinear low-dimensional.


The Frenkel-Kontorova Model Concepts, Methods, And Applications

It seems that you're in Germany. We have a dedicated site for Germany. Authors: Braun , Oleg M. This book presents an overview of the basic concepts, methods and applications of nonlinear low-dimensional solid-state physics based on the Frenkel--Kontorova model and its generalizations.

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The Frenkel—Kontorova model , also known as the FK model , is a fundamental model of low-dimensional nonlinear physics.

Theoretical and Mathematical PhysicsThe Frenkel-Kontorova model [1ed.]3540407715, 9783540407713

This book presents an overview of the basic concepts, methods and applications of nonlinear low-dimensional solid-state physics based on the Frenkel--Kontorova model and its generalizations. It allows a nonspecialist to acquire foundations in the interdisciplinary concepts and methods of both solid-state physics and nonlinear science. It covers many important topics such as the nonlinear dynamics of discrete systems, the dynamics of solitons and their interaction, commensurate and incommensurate systems, statistical mechanics of nonlinear systems, ratchets, and nonequilibrium dynamics of interacting many-body systems. Also treated are the principal nonlinear equations along with the properties of their localized solutions and methods for their analysis. The sheer fact of providing all this information in one piece of work deserves its own merit, and the contribution of the authors' own work bears its own value. The volume will undoubtedly prove to be a valuable source of information to researchers who are familiar with soliton theories, and will provide inspiration to those less familiar.

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Interaction of moving discrete breathers with simulated interstitial defects

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Chaos and Chaos Control of the Frenkel–Kontorova Model

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