Structure and dynamics of spherical crystals characterized for the Thomson problem

By David J. Wales, Sidika Ulker. 2006

140 citations recorded by the source corpus.

Subfields: Applied Mathematics, Condensed Matter Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/1b79f94c7fb4e328c9684709c3fb781611fe10e2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Y. Xiang
2. Julia Hoeng
3. Brian P. Suomela
4. Florian Martin
5. Sylvain Gubian

In Condensed Matter Physics

1. Y. Xiang
2. Julia Hoeng
3. Brian P. Suomela
4. Florian Martin
5. Sylvain Gubian

In Statistics and Probability

1. Y. Xiang
2. Julia Hoeng
3. Brian P. Suomela
4. Florian Martin
5. Sylvain Gubian

Citations in the corpus

• Generalized Simulated Annealing for Global Optimization: The GenSA Package (2013, methodology): “The Thomson problem has been tackled by several methods such as steepest descent (Erber and Hockney, 1991), constrained global optimization (CGO) (Altschuler et al., 1994), generalized simulated annealing algorithm (Xiang et al., 1997; Xiang and Gong, 2000a), genetic algorithms (Morris et al., 1996)”
• Generalized Simulated Annealing (2017, methodology): “The Thomson problem has been solved by both deterministic methods, including steepest descent [28], and stochastic methods, including (but not limited to) constrained global optimization (CGO) [29], the GSA algorithm [4, 5], genetic algorithms [30], and the Monte Carlo method [31, 33].”