Geodesic
Ultrametricity of the state space in glasses
Teoretičeskaâ i matematičeskaâ fizika, Tome 174 (2013) no. 2, pp. 228-242 Cet article a éte moissonné depuis la source Math-Net.Ru

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We review the results related to the ultrametricity notion in glasses. We present the proof of the ultrametricity of the replica space for an arbitrary spin glass model with reflection symmetry. We solve the problem of describing the dynamics of a system with an ultrametric state space using the Keldysh functional method for nonequilibrium dynamics in which the quasinonergodicity of the system is taken into account by introducing a hierarchical spectrum of relaxation times.
Keywords: glass, ultrametricity, nonequilibrium dynamics. 
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M. G. Vasin; E. E. Tareeva; T. I. Shchelkacheva; N. M. Shchelkachev. Ultrametricity of the state space in glasses. Teoretičeskaâ i matematičeskaâ fizika, Tome 174 (2013) no. 2, pp. 228-242. http://geodesic.mathdoc.fr/item/TMF_2013_174_2_a3/

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