Disordered multihyperuniformity derived from binary plasmas.

Disordered multihyperuniform many-particle systems are exotic amorphous states that allow exquisite color sensing capabilities due to their anomalous suppression of density fluctuations for distinct subsets of particles, as recently evidenced in photoreceptor mosaics in avian retina. Motivated by this biological finding, we present a statistical-mechanical model that rigorously achieves disordered multihyperuniform many-body systems by tuning interactions in binary mixtures of nonadditive hard-disk plasmas. We demonstrate that multihyperuniformity competes with phase separation and stabilizes a clustered phase. Our work provides a systematic means to generate disordered multihyperuniform solids, and hence lays the groundwork to explore their potentially unique photonic, phononic, electronic, and transport properties.

[1]  W. Hager,et al.  and s , 2019, Shallow Water Hydraulics.

[2]  Salvatore Torquato,et al.  Designing disordered hyperuniform two-phase materials with novel physical properties , 2017, 1709.09997.

[3]  S. Torquato,et al.  Disordered hyperuniformity in two-component nonadditive hard-disk plasmas. , 2017, Physical review. E.

[4]  Michael Engel,et al.  Band gap formation and Anderson localization in disordered photonic materials with structural correlations , 2017, Proceedings of the National Academy of Sciences.

[5]  P. Chaikin,et al.  Enhanced hyperuniformity from random reorganization , 2017, Proceedings of the National Academy of Sciences.

[6]  M. Florescu,et al.  Hyperuniform disordered phononic structures , 2017, 1703.02417.

[7]  B. A. Lindquist,et al.  Interactions and design rules for assembly of porous colloidal mesophases. , 2016, Soft matter.

[8]  F. Stillinger,et al.  Transport, geometrical, and topological properties of stealthy disordered hyperuniform two-phase systems. , 2016, The Journal of chemical physics.

[9]  Joel L. Lebowitz,et al.  Fluctuations, large deviations and rigidity in hyperuniform systems: A brief survey , 2016, 1608.07496.

[10]  S. Torquato Disordered hyperuniform heterogeneous materials , 2016, Journal of physics. Condensed matter : an Institute of Physics journal.

[11]  Thomas M Truskett,et al.  Fluids with competing interactions. I. Decoding the structure factor to detect and characterize self-limited clustering , 2016, The Journal of Chemical Physics.

[12]  R'emi Carminati,et al.  High-density hyperuniform materials can be transparent , 2015, 1510.05807.

[13]  F. H. Stillinger,et al.  Ensemble Theory for Stealthy Hyperuniform Disordered Ground States , 2015, 1503.06436.

[14]  E. Lomba,et al.  Demixing and confinement of non-additive hard-sphere mixtures in slit pores. , 2015, The Journal of chemical physics.

[15]  Peter Sollich,et al.  Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems. , 2014, Physical review letters.

[16]  V. Balasubramanian,et al.  How a well-adapted immune system is organized , 2014, Proceedings of the National Academy of Sciences.

[17]  N. Wagner,et al.  Generalized phase behavior of cluster formation in colloidal dispersions with competing interactions. , 2014, Soft matter.

[18]  Michael Meyer-Hermann,et al.  Avian photoreceptor patterns represent a disordered hyperuniform solution to a multiscale packing problem. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  N. Wagner,et al.  Intermediate range order and structure in colloidal dispersions with competing interactions. , 2013, Journal of Chemical Physics.

[20]  Salvatore Torquato,et al.  Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids , 2013, Proceedings of the National Academy of Sciences.

[21]  Salvatore Torquato,et al.  Hyperuniformity in amorphous silicon based on the measurement of the infinite-wavelength limit of the structure factor , 2013, Proceedings of the National Academy of Sciences.

[22]  Salvatore Torquato,et al.  Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings. , 2010, Physical review letters.

[23]  Salvatore Torquato,et al.  Designer disordered materials with large, complete photonic band gaps , 2009, Proceedings of the National Academy of Sciences.

[24]  Chase E. Zachary,et al.  Hyperuniformity in point patterns and two-phase random heterogeneous media , 2009, 0910.2172.

[25]  Chase E. Zachary,et al.  Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory , 2008, 0809.0449.

[26]  L. Reatto,et al.  Microphase morphology in two-dimensional fluids under lateral confinement. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  F. Lado,et al.  Structure and thermodynamics of a two-dimensional Coulomb fluid in the strong association regime. , 2007, The Journal of chemical physics.

[28]  L. Reatto,et al.  Microphase separation in two-dimensional systems with competing interactions. , 2006, The Journal of chemical physics.

[29]  Frédéric Cardinaux,et al.  Equilibrium cluster formation in concentrated protein solutions and colloids , 2004, Nature.

[30]  Salvatore Torquato,et al.  Local density fluctuations, hyperuniformity, and order metrics. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  F. Saija,et al.  Monte Carlo simulation and phase behavior of nonadditive hard-core mixtures in two dimensions , 2002 .

[32]  D. Lévesque,et al.  Charge Fluctuations in the Two-Dimensional One-Component Plasma , 1999, cond-mat/9909208.

[33]  Jean-Pierre Hansen,et al.  A Monte Carlo study of the classical two-dimensional one-component plasma , 1982 .

[34]  B. Jancovici Exact results for the two-dimensional one-component plasma , 1981 .

[35]  J. Hansen,et al.  Statistical mechanics of simple coulomb systems , 1980 .

[36]  F. Lado Hypernetted-chain solutions for the two-dimensional classical electron gas , 1978 .

[37]  D. E. Thornton,et al.  Structural Aspects of the Electrical Resistivity of Binary Alloys , 1970 .