Ultrametricity of the~state space in glasses
Teoretičeskaâ i matematičeskaâ fizika, Tome 174 (2013) no. 2, pp. 228-242
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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.
@article{TMF_2013_174_2_a3,
author = {M. G. Vasin and E. E. Tareeva and T. I. Shchelkacheva and N. M. Shchelkachev},
title = {Ultrametricity of the~state space in glasses},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {228--242},
publisher = {mathdoc},
volume = {174},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2013_174_2_a3/}
}
TY - JOUR AU - M. G. Vasin AU - E. E. Tareeva AU - T. I. Shchelkacheva AU - N. M. Shchelkachev TI - Ultrametricity of the~state space in glasses JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2013 SP - 228 EP - 242 VL - 174 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2013_174_2_a3/ LA - ru ID - TMF_2013_174_2_a3 ER -
%0 Journal Article %A M. G. Vasin %A E. E. Tareeva %A T. I. Shchelkacheva %A N. M. Shchelkachev %T Ultrametricity of the~state space in glasses %J Teoretičeskaâ i matematičeskaâ fizika %D 2013 %P 228-242 %V 174 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2013_174_2_a3/ %G ru %F TMF_2013_174_2_a3
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/