2008/03/10 by Robert D. Batten, Frank H. Stillinger, Salvatore Torquato · 7 citations
Engineering · Physics and Astronomy · #Computational physics #Computer science #Ground state #Ideal (ethics) #Ideal gas #Luminosity #Optics #Photonic Crystals and Applications #Physics #Quantum mechanics #Radiation #Random lasers and scattering media #Range (aeronautics) #Scattering #Space (punctuation) #Statistical physics #Thermal Radiation and Cooling Technologies #Wavelength #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.2961314
44 pages, 16 figures, revtek4
arxiv created 2008/03/10 · openalex publication_date 2008/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.