A Microscopic Model of Jump Rate Distribution in the Glass Transition

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  • Microscopic Model of Jump Rate Distribution in the Glass Transition

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We study distribution of jump rates in supercooled liquids and glass by activation theories developed in studies of chemical reactions. Defining jump conditions, we explain the physical origin giving rise to the jump rate distribution. Jump rates distribute if some kinds of relaxation have different time scales. In addition, we express the distribution by the microscopic parameters of liquids using appropriate approximations. The obtained expression is the power law distribution in the limit of small jump rates. We relate the exponents of the power law with the time scale in the mode coupling theory.

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