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Topics in Disordered Systems (Lectures in Mathematics. ETH Zürich) [Paperback]

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Item description for Topics in Disordered Systems (Lectures in Mathematics. ETH Zürich) by Charles M. Newman...

Disordered systems are statistical mechanics models in random environments. This lecture notes volume concerns the equilibrium properties of a few carefully chosen examples of disordered Ising models. The approach is that of probability theory and mathematical physics, but the subject matter is of interest also 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 number of ground states (at zero temperature) or the number of pure Gibbs states (at nonzero temperature). A recurring theme is that these questions are connected to interesting issues concerning percolation and related models of geometric/combinatorial probability. One question treated at length concerns the low temperature behavior of short-range spin glasses: whether and in what sense Parisi's analysis of the meanfield (or "infinite-range") model is relevant. Closely related is the more general conceptual issue of how to approach the thermodynamic (i.e., infinite volume) limit in systems which may have many complex competing states. This issue has been addressed in recent joint work by the author and Dan Stein and the book provides a mathematically coherent presentation of their approach.)

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Item Specifications...

Pages   100
Est. Packaging Dimensions:   Length: 9.3" Width: 6.8" Height: 0.3"
Weight:   0.15 lbs.
Binding  Softcover
Release Date   Oct 29, 1997
Publisher   Birkhäuser Basel
ISBN  3764357770  
ISBN13  9783764357771  

Availability  86 units.
Availability accurate as of Oct 27, 2016 04:55.
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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Statistics
2Books > Subjects > Professional & Technical > Professional Science > Physics > Electromagnetism
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > Applied > Probability & Statistics
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Physics > General

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