Classical disordered ground states: Super-ideal gases and stealth and equi-luminous materials

Robert D. Batten, Frank H. Stillinger, Salvatore Torquato

Research output: Contribution to journalArticle

85 Scopus citations

Abstract

Using a collective coordinate numerical optimization procedure, we construct ground-state configurations of interacting particle systems in various space dimensions so that the scattering of radiation exactly matches a prescribed pattern for a set of wave vectors. We show that the constructed ground states are, counterintuitively, disordered (i.e., possess no long-range order) in the infinite-volume limit. We focus on three classes of configurations with unique radiation scattering characteristics: (i) "stealth" materials, which are transparent to incident radiation at certain wavelengths; (ii) "super-ideal" gases, which scatter radiation identically to that of an ensemble of ideal gas configurations for a selected set of wave vectors; and (iii) "equi-luminous" materials, which scatter radiation equally intensely for a selected set of wave vectors. We find that ground-state configurations have an increased tendency to contain clusters of particles as one increases the prescribed luminosity. Limitations and consequences of this procedure are detailed.

Original languageEnglish (US)
Article number033504
JournalJournal of Applied Physics
Volume104
Issue number3
DOIs
StatePublished - Aug 25 2008

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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