TY - JOUR
T1 - Classical disordered ground states
T2 - Super-ideal gases and stealth and equi-luminous materials
AU - Batten, Robert D.
AU - Stillinger, Frank H.
AU - Torquato, Salvatore
N1 - Funding Information:
The authors thank Obioma Uche and Chase Zachary for helpful discussions regarding several aspects of this work. S.T. thanks the Institute for Advanced Study for their hospitality during his stay there. This work was supported by the Office of Basic Energy Sciences, U.S. Department of Energy, under Grant No. DE-FG02-04-ER46108.
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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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U2 - 10.1063/1.2961314
DO - 10.1063/1.2961314
M3 - Article
AN - SCOPUS:49749132375
SN - 0021-8979
VL - 104
JO - Journal of Applied Physics
JF - Journal of Applied Physics
IS - 3
M1 - 033504
ER -