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The lid method for exhaustive exploration of metastable states of complex systems

1998/08/24 by Paolo Sibani, Ruud van der Pas, J. Christian Schoen +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Computer science #Mathematics #Metastability #Physics #Quantum mechanics #Statistical physics #physics.comp-ph

paper · pdf · doi:10.1016/s0010-4655(98)00176-3

published as Comp. Phys. Comm. 116, 17-27 (1999) · RevTeX, 11 pages, 1 figure

arxiv created 1998/08/24 · openalex publication_date 1999/01/01 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

The `lid' algorithm performs an exhaustive exploration of neighborhoods of local energy minima of energy landscapes. This paper describes an implementation of the algorithm, including issues of parallel performance and scalability. To illustrate the versatility of the approach and to stress the common features present in landscapes of quite different systems, we present selected results for 1) a spin glass, 2) a ferromagnet, 3) a covalent network model for glassy systems, and 4) a polymer. The exponential nature of the local density of states found in these systems and its relation to the ordering transition is briefly commented upon.

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