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Energy landscapes, supergraphs, and "folding funnels" in spin systems

Piotr Garstecki·Trinh Xuan Hoang·Marek Cieplak
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Abstract

Dynamical connectivity graphs, which describe dynamical transition rates between local energy minima of a system, can be displayed against the background of a disconnectivity graph which represents the energy landscape of the system. The resulting supergraph describes both dynamics and statics of the system in a unified coarse-grained sense. We give examples of the supergraphs for several two dimensional spin and protein-related systems. We demonstrate that disordered ferromagnets have supergraphs akin to those of model proteins whereas spin glasses behave like random sequences of aminoacids which fold badly.

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Piotr Garstecki, Trinh Xuan Hoang, Marek Cieplak. 1999-08-20. Energy landscapes, supergraphs, and "folding funnels" in spin systems. https://doi.org/10.1103/physreve.60.3219

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