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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 174, Number 2, Pages 228–242
DOI: https://doi.org/10.4213/tmf8400 (Mi tmf8400) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Ultrametricity of the state space in glasses

M. G. Vasina, E. E. Tareevab, T. I. Shchelkachevab, N. M. Shchelkachevcdb

a Physico-Technical Institute, Ural Branch, RAS, Izhevsk, Russia
b Vereshchagin Institute for High Pressure Physics, RAS, Troitsk, Moscow Oblast, Russia
c Moscow Physico-Technical Institute, Moscow, Russia
d Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
Full-text PDF (514 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf8400
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.
Keywords: glass, ultrametricity, nonequilibrium dynamics.
Received: 14.08.2012
English version:
Theoretical and Mathematical Physics, 2013, Volume 174, Issue 2, Pages 197–208
DOI: https://doi.org/10.1007/s11232-013-0017-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. G. Vasin, E. E. Tareeva, T. I. Shchelkacheva, N. M. Shchelkachev, “Ultrametricity of the state space in glasses”, TMF, 174:2 (2013), 228–242; Theoret. and Math. Phys., 174:2 (2013), 197–208
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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