Abstract
We show that the paramagnet-spin glass transition can be described in the Edwards-Anderson model using critical-dynamics methods and taking the ultrametric topology of the temporal space into account. In the framework of the suggested approach, we derive the Vogel-Fulcher relation for the system relaxation time. We prove that the fluctuation-dissipation theorem holds for the given model if there is no relaxation-time hierarchy.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 147, No. 2, pp. 328–336, May, 2006.
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Vasin, M.G. Description of the paramagnet-spin glass transition in the Edwards-Anderson model using critical-dynamics methods. Theor Math Phys 147, 721–728 (2006). https://doi.org/10.1007/s11232-006-0074-9
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DOI: https://doi.org/10.1007/s11232-006-0074-9