Matches in Harvard for { <http://id.lib.harvard.edu/aleph/007716041/catalog> ?p ?o. }
Showing items 1 to 29 of
29
with 100 items per page.
- catalog abstract "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.)".
- catalog contributor b10667917.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "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.)".
- catalog description "Includes bibliographical references (p. 81-86) and index.".
- catalog extent "viii, 88 p. ;".
- catalog hasFormat "Topics in disordered systems.".
- catalog identifier "0817657770 (Boston : acid-free paper)".
- catalog identifier "3764357770 (Basel : acid-free paper)".
- catalog isFormatOf "Topics in disordered systems.".
- catalog isPartOf "Lectures in mathematics ETH Zürich".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "Basel ; Boston : Birkhäuser Verlag,".
- catalog relation "Topics in disordered systems.".
- catalog subject "538/.3 21".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Ferromagnetism Mathematics.".
- catalog subject "Ferromagnets Mathematics.".
- catalog subject "Mathematics.".
- catalog subject "Order-disorder models.".
- catalog subject "QC173.4.O73 N49 1997".
- catalog subject "Spin glasses Mathematics.".
- catalog title "Topics in disordered systems / Charles M. Newman.".
- catalog type "text".