Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials

Details Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials

2008-03-10

arxiv.org/abs/0803.1442v1

Physics

Condensed Matter

Statistical Mechanics

44 pages, 16 figures, revtek4

Scientific paper

10.1063/1.2961314

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.

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