[PDF] The Frenkel Kontorova Model With Nonconvex Interparticle Interactions eBook

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File Size : 29,52 MB
Release : 1987
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A study is presented of the ground state and excitations of the Frenkel-Kontorova model with nonconvex interparticle interactions, emphasizing the special effects of the nonconvexity on the ground state and on the excitations. This study has been limited to nonconvexity with two competing length scales. 10 refs., 3 figs.

Author : Jasmina Tekić
Publisher : Institut za nuklearne nauke VINČA
Page : 179 pages
File Size : 32,13 MB
Release : 2016-03-28
Category :
ISBN : 8670313219

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Ништа није унето

Author : Richard LeSar
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 11,36 MB
Release : 2012-12-06
Category : Science
ISBN : 3642734987

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Many macroscopic properties of materials are determined primarily by inhomogeneous structures and textures. These intermediate-scale structures often arise from competing interactions operating on different length scales within the material. Our understanding of such phenomena has increased substantially with the identification and theoretical description of solid-state materials with incommensurate and long-period modulated phases, such as ferroelectrics, charge-density-wave compounds, epitaxial layers and polytypes. Experimental diagnosis of inhomogeneous ground states and metastable phases has advanced so far that these are now well-accepted phenomena. These proceedings bring together the work of physicists and materials scientists to review developments in this area and to examine possible future directions, such as how the microscopic understanding emerging in bench-top solid-state systems can be applied in materials science.

Author : Oleg M. Braun
Publisher : Springer Science & Business Media
Page : 490 pages
File Size : 38,64 MB
Release : 2013-03-14
Category : Science
ISBN : 3662103311

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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. The book 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.

Author : Oleg M. Braun
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 27,5 MB
Release : 2004-01-09
Category : Mathematics
ISBN : 9783540407713

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Theoretical physics deals with physical models. The main requirements for a good physical model are simplicity and universality. Universal models which can be applied to describe a variety of different phenomena are very rare in physics and, therefore, they are of key importance. Such models attract the special attention of researchers as they can be used to describe underlying physical concepts in a simple way. Such models appear again and again over the years and in various forms, thus extending their applicability and educa tional value. The simplest example of this kind is the model of a pendulum; this universal model serves as a paradigm which encompasses basic features of various physical systems, and appears in many problems of very different physical context. Solids are usually described by complex models with many degrees of freedom and, therefore, the corresponding microscopic equations are rather complicated. However, over the years a relatively simple model, known these days as the Prenkel-K ontorova model, has become one of the fundamental and universal tools of low-dimensional nonlinear physics; this model describes a chain of classical particles coupled to their neighbors and subjected to a pe riodic on-site potential.