Competing Interactions and Pattern Formation in Nanoworld

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.