Spatial Inhomogeneity and Thermodynamic Chaos

C.M. Newman (Courant Institute of Mathematical Sciences , New York University , New York , NY) , D.L. Stein (Department of Physics , University of Arizona , Tucson , AZ)

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classification adap-org cond-matnlin.AO

keywords approachthermodynamicbreakingchaoschaoticcoherentcompetitioncoupling

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We present a coherent approach to the competition between thermodynamic states in spatially inhomogeneous systems, such as the Edwards-Anderson spin glass with a fixed coupling realization. This approach explains and relates chaotic size dependence, ``dispersal of the metastate'', and for replicas: non-independence, symmetry breaking, and overlap (non-)self-averaging.

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Spatial Inhomogeneity and Thermodynamic Chaos

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