Topics in Disordered Systems

By:

Charles M. Newman

Format:

Paperback / softback

Series:

Lectures in Mathematics. Eth Zurich

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Description

Disordered systems are statistical mechanics models in random environments. This text considers the equilibrium properties of a few examples of disordered Ising models from a probability theory and mathematical physics approach, but the material should be of interest to condensed matter physicists, material scientists, applied mathematicians and theoretical computer scientists. The two main types of systems considered are disordered ferromagnets and spin glasses. The emphasis is on questions concerning the nunmber of ground states (at zero temperature) or the nunber of pure Gibbs states (at nonzero temperatures), and these questions are often connected to issues concerning percolation and related models of geometric or combinatorial probability. The conceptual issue of how to approach the thermodynamic (i.e. infinite volume) in systems which may have many complex competing states is considered, along with the more specific problem of whether and in what sense Parisi's analysis of the meanfield (or "infinite-range") model is relevant with regard to the low temperature behaviour of short-range spin glasses.

Release date Australia

September 23rd, 1997

Author

Charles M. Newman

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

VIII, 88 p.

Pages

Series

Lectures in Mathematics. Eth Zurich

Dimensions

178x254x5

ISBN-13

9783764357771

Product ID

2041890

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