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Glassy Relaxation Dynamics and Ruggedness beyond the Ultrametric Limit

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Abstract

We study the relaxation behavior of hierarchical systems whose conformation space topology deviates from ultrametricity under selective controllable conditions. While the Debye law is obtained in the ultrametric case, Kohlrausch relaxation is shown to be directly related to the level of ruggedness beyond the ultrametric limit, making the β exponent computationally accessible.

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Appignanesi, G.A., Montani, R.A. & Fernández, A. Glassy Relaxation Dynamics and Ruggedness beyond the Ultrametric Limit. Journal of Statistical Physics 91, 669–677 (1998). https://doi.org/10.1023/A:1023033812314

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  • DOI: https://doi.org/10.1023/A:1023033812314

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