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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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REVTeX, 9 pages, two-column, 13 EPS figures included

Scientific paper

10.1103/PhysRevE.60.3219

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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