Bulletin of the American Physical Society
APS March Meeting 2016
Volume 61, Number 2
Monday–Friday, March 14–18, 2016; Baltimore, Maryland
Session X3: Design, Characterization and Assembly of Hyperuniform MaterialsInvited

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Sponsoring Units: DCMP GSOFT Chair: Dreyfus Remi, CNRS Room: Ballroom III 
Friday, March 18, 2016 8:00AM  8:36AM 
X3.00001: Ensemble Theory for Stealthy Hyperuniform Disordered Ground States Invited Speaker: Salvatore Torquato Disordered hyperuniform manyparticle systems [1] have been receiving recent attention because they are distinguishable exotic states of matter poised between a crystal and liquid that are endowed with novel thermodynamic and physical properties. It has been shown numerically that systems of particles interacting with ``stealthy" bounded, longranged pair potentials (similar to Friedel oscillations) have classical ground states that are, counterintuitively, disordered, hyperuniform and highly degenerate. The task of formulating an ensemble theory that yields analytical predictions for the structural characteristics and other properties of stealthy degenerate ground states in ddimensional Euclidean space is highly nontrivial because the dimensionality of the configuration space depends on the number density and there is a multitude of ways of sampling the groundstate manifold, each with its own probability measure for finding a particular groundstate configuration. A new type of statisticalmechanical theory had to be invented to characterize these exotic states of matter. I report on some initial progress that we have made in this direction [2]. We show that stealthy disordered ground states behave like "pseudo"equilibrium hardsphere systems in Fourier space. Our theoretical predictions for the structure and thermodynamic properties of the stealthy disordered ground states and associated excited states are in excellent agreement with computer simulations across dimensions. [1] Torquato and F. H. Stillinger, Local Density Fluctuations, Hyperuniform Systems, and Order Metrics, Physical Review E, 68, 041113 (2003); [2] S. Torquato, G. Zhang, and F. H. Stillinger, Ensemble Theory for Stealthy Hyperuniform Disordered Ground States, Physical Review X,5, 021020 (2015). [Preview Abstract] 
Friday, March 18, 2016 8:36AM  9:12AM 
X3.00002: Hyperuniformity Disorder Length Spectroscopy  Method and Applications Invited Speaker: Douglas Durian The original idea is that fluctuations in a hyperuniform system are controlled by particles on the surface of the measuring windows [Torquato and Stillinger, PRE 2003]. But particles live in a volume; therefore, we introduce a "hyperunifority disorder length" $h(L)$ such that the relevant particles are within a distance $h(L)$ of the $L^d$ measuring window boundaries. Then the asymptotic volume fraction variance scaling becomes dimensionally correct as ${\sigma_\phi}^2(L) \propto \langle v\rangle h/L^{d+1}$ where $\langle v\rangle$ is the average particle volume. After giving the technical definition of $h(L)$, I'll discuss two bounds, and I'll show simulation results for crystal vacancy and Einstein patterns to help build intuition for scaling of $h(L)\sim L$ in systems with liquidlike fluctuations and as $h(L)=$ constant in strongly hyperuniform systems. Then, in terms of the realspace spectrum of $h(L)$ versus $L$, I'll show how different kinds of packings become increasingly uniform on approach to jamming and reach hyperuniformity at jamming. An important theme is to bring meaning to the value, as well as the scaling, of density fluctuations. Various parts of this work are in collaboration with A. Chieco, R. Dreyfus, C. Goodrich, A.J. Liu, and S. Torquato. [Preview Abstract] 
Friday, March 18, 2016 9:12AM  9:48AM 
X3.00003: Unusual Fluctuations in Absorbing State Models Invited Speaker: Hexner Daniel 
Friday, March 18, 2016 9:48AM  10:24AM 
X3.00004: Emergent Hyperuniformity in Periodically Driven Emulsions Invited Speaker: Denis Bartolo I will discuss the selforganization of microfluidic emulsions into anomalously homogeneous structures. Upon periodic driving confined emulsions undergo a firstorder transition from a reversible to an irreversible dynamics. We evidence that this dynamical transition is accompanied by structural changes at all scales yielding macroscopic yet finite hyperuniform structures. Numerical simulations are performed to single out the very ingredients responsible for the suppression of density fluctuations. We show that, as opposed to equilibrium systems, the longrange nature of the hydrodynamic interactions are not required for the formation of hyperuniform patterns, thereby suggesting a robust relation between reversibility and hyperuniformity which should hold in a broad class of periodically driven materials. [Preview Abstract] 
Friday, March 18, 2016 10:24AM  11:00AM 
X3.00005: Hyperuniform disordered photonic bandgap materials, from microwave to infrared wavelength regime. Invited Speaker: Weining Man Recently, we have introduced a new class of hyperuniform disordered (HUD) photonic bandgap (PBG) materials enabled by a novel constrained optimization method for engineering the material's Fourier transform to be continuous, isotropic and stealthy. Their structure factor~$S(k)$ is equal to zero for small~$k~$and exhibits a broad ring of maximum values around a characteristic wavelength range. Experimentally, an isotropic complete PBG (at all angles and for all polarizations) in an aluminabased HUD structure and singlepolarized PBGs for plasticbased HUD structure have been demonstrated.~Using measured and simulated transmission and phase delay information through these HUD structures, we also unfolded their band structures and reconstructed the effective dispersion relations of propagating electromagnetic modes in them.~The intrinsic isotropy in these disordered structures is an inherent advantage associated with the lack of crystalline order, offering unprecedented freedom for functional defect design impossible to achieve in photonic crystals. In the microwave regime, we have shown the creation of freeform waveguides, which can channel photons robustly along arbitrarily curved paths and around sharp bends, and be decorated with defects to produce sharply resonant structures useful for filtering and frequency splitting. Recent simulation and experimental results for waveguides and modulators based on submicronscale planar hyperuniform disordered PBG structures further highlight their ability to serve as highly compact, flexible and energyefficient platforms for photonic integrated circuits. [Preview Abstract] 
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