title: Communication: optimal parameters for basin-hopping global optimization based on Tsallis statistics.
abstract: A fundamental problem associated with global optimization is the large free energy barrier for the corresponding solid-solid phase transitions for systems with multi-funnel energy landscapes. To address this issue we consider the Tsallis weight instead of the Boltzmann weight to define the acceptance ratio for basin-hopping global optimization. Benchmarks for atomic clusters show that using the optimal Tsallis weight can improve the efficiency by roughly a factor of two. We present a theory that connects the optimal parameters for the Tsallis weighting, and demonstrate that the predictions are verified for each of the test cases.
authors.affiliation: University Chemical Laboratories, Lensfield Road, Cambridge CB2 1EW, United Kingdom.
authors.forename: C
authors.initials: C
authors.lastname: Shang
authors.affiliation: University Chemical Laboratories, Lensfield Road, Cambridge CB2 1EW, United Kingdom.
authors.forename: D J
authors.initials: DJ
authors.lastname: Wales