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Ultrametricity of the state space in glasses |
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| Authors: | M G Vasin E E Tareyeva T I Shchelkacheva N M Shchelkatchev |
| Institution: | 117. Physico-Technical Institute, Ural Branch, RAS, Izhevsk, Russia 217. Vereshchagin Institute for High Pressure Physics, RAS, Troitsk, Moscow Oblast, Russia 317. Moscow Physico-Technical Institute, Moscow, Russia 417. Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia |
| Abstract: | 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. |
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