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Competing Interactions and Microstructures: Statics and Dynamics

Author : Richard LeSar
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 20,81 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.

Competing Interactions and Pattern Formation in Nanoworld

Author : Elena Vedmedenko
Publisher : John Wiley & Sons
Page : 215 pages
File Size : 10,23 MB
Release : 2007-02-27
Category : Science
ISBN : 3527610510

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Systems displaying competing interactions of some kind are widespread - much more, in fact, as commonly anticipated (magnetic and Ising-type interactions or the dynamics of DNA molecules being only two popular examples). Written for researchers in the field with different professional backgrounds, this volume classifies phenomena not by system but rather by the type of competing interactions involved. This allows for a straightforward presentation of the underlying principles and the universal laws governing the behaviour of different systems. Starting with a historical overview, the author proceeds by describing self-competitions of various types of interactions (such as diploar or multipolar interactions), competitions between a short-range and a long-range interaction (as in Ising systems or DNA models) or between a long-range interaction and an anisotropy (as in ultrathin magnetic films or magnetic nanoparticles) and finally competitions between interactions of the same range (as in spin glasses). Each chapter contains a few problems with solutions which provide suitable material for lecturers of mathematics and physics as well as biology courses. A vast body of references to the original literature make the volume self-contained and ideally suited to master this interdisciplinary field.

Partially Integrable Evolution Equations in Physics

Author : R. Conte
Publisher : Springer Science & Business Media
Page : 609 pages
File Size : 25,32 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9400905912

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In the many physical phenomena ruled by partial differential equations, two extreme fields are currently overcrowded due to recent considerable developments: 1) the field of completely integrable equations, whose recent advances are the inverse spectral transform, the recursion operator, underlying Hamiltonian structures, Lax pairs, etc 2) the field of dynamical systems, often built as models of observed physical phenomena: turbulence, intermittency, Poincare sections, transition to chaos, etc. In between there is a very large region where systems are neither integrable nor nonintegrable, but partially integrable, and people working in the latter domain often know methods from either 1) or 2). Due to the growing interest in partially integrable systems, we decided to organize a meeting for physicists active or about to undertake research in this field, and we thought that an appropriate form would be a school. Indeed, some of the above mentioned methods are often adaptable outside their original domain and therefore worth to be taught in an interdisciplinary school. One of the main concerns was to keep a correct balance between physics and mathematics, and this is reflected in the list of courses.

Properties of Complex Inorganic Solids

Author : A. Gonis
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 23,41 MB
Release : 2012-12-06
Category : Science
ISBN : 146155943X

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It is common practice today to use the term "alloy" in connection with specific classes of materials, with prominence given to metals and semiconductors. However, there is good justification for considering alloys in a unified manner based on properties rather than types of materials because, after all, to alloy means to mix. The scientific aspects of mixing together different materials has a very long history going back to early attempts to understand and control materials behavior for the service of mankind. The case for using the scientific term "alloy" to mean any material consisting of more than one element can be based on the following two considerations. First, many alloys are mixtures of metallic, semiconducting, and/or insulating materials, and the properties of an alloy, i.e., metallic, semiconducting, or insulating, are often functions of composition and of external conditions, such as temperature and pressure. Second, and most importantly, in attempting to understand the various properties of materials, whether physical, chemical, or mechanical,one is apt to use the terminology and experimental, formal, and computational methods in their study that transcend the type of material being studied.

The Stability of Minerals

Author : G.D. Price
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 48,9 MB
Release : 2007-11-23
Category : Science
ISBN : 0585275785

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30% discount for members of The Mineralogical Society of Britain and Ireland This volume addresses the fundamental factors that underlie our understanding of mineral behaviour and crystal chemistry - a timely topic given current advances in research into the complex behaviour of solids and supercomputing.