title: Energy landscapes, supergraphs, and "folding funnels" in spin systems.
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 amino acids that fold badly.
authors.affiliation: Institute of Chemical Physics, Polish Academy of Sciences, ul. Kasprzaka 44/52, 01-224 Warsaw, Poland.
authors.forename: P
authors.initials: P
authors.lastname: Garstecki
authors.forename: T X
authors.initials: TX
authors.lastname: Hoang
authors.forename: M
authors.initials: M
authors.lastname: Cieplak
mesh_terms: D055592:Biophysical Phenomena; D001703:Biophysics; D008956:Models, Chemical; D011108:Polymers / Q000737:chemistry; D011506:Proteins / Q000737:chemistry*; D013816:Thermodynamics
chemical_list: D011108:Polymers; D011506:Proteins