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Competing Interactions and Pattern Formation in Nanoworld


Competing Interactions and Pattern Formation in Nanoworld


1. Aufl.

von: Elena Vedmedenko

183,99 €

Verlag: Wiley-VCH
Format: PDF
Veröffentl.: 27.02.2007
ISBN/EAN: 9783527610518
Sprache: englisch
Anzahl Seiten: 215

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Beschreibungen

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). <br> <br> 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.<br> <br> 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). <br> <br> Each chapter contains a few problems with solutions which provide suitable material for lecturers of mathematics and physics as well as biology courses.<br> A vast body of references to the original literature make the volume self-contained and ideally suited to master this interdisciplinary field.
1. Introduction<br> 1.1 How the story begun<br> 1.2 First theoretical approaches for competing interactions<br> 1.3 Beautiful patterns govern the world<br> 2. Self-competition or how to choose the best from the worse<br> 2.1 Frustration: the world is not perfect<br> 2.2 Self-competition of the short-range interactions<br> 2.3 Self-competition of the long-range interactions<br> 2.4 Ordering entropy<br> 2.5 Problems/Solutions<br> 3. Famous competition between a short- and a long-range interaction<br> 3.1 Localized particles<br> 3.2 Delocalized particles<br> 3.3 Problems/Solutions<br> 4. Competition between a long-range dipolar interaction and an anisotropy<br> 4.1 Ultrathin magnetic films<br> 4.2 Ultrthin magnetic particles<br> 5. Competition between two interactions of the same range<br> 5.1 Two short-range interactions<br> 5.2 Two long-range interactions<br> 5.3 Problems/Solutions<br> 6. Dynamics of self-organized systems close to equilibrium<br> 6.1 Polarization reversal<br> 6.2 Wave phenomena<br> 6.3 Diffusion-limited aggregation<br> 6.4 Dynamics of nanoparticles<br> References <br> <br>
"... very desirable addition to the literature in a rapidly developing interdisciplinary field."<br> <br> "... Vedmedenko's interdisciplinary approach and logical organization makes what is a very complex topic easy to follow, and the examples are useful for a variety of applications."<br> SciTech Book News, vol. 31 no. 3, September 2007
<p>Elena Vedmedenko is the author of Competing Interactions and Pattern Formation in Nanoworld , published by Wiley.

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