Transport and Elastic Properties of Dispersions of Hard Particles at Jamming

We generate a spectrum of dense jammed packings of hard particles with varying degrees of order using the Adaptive Shrinking Cell (ASC) optimization scheme. Of particular interest are maximally random jammed (MRJ) packings, which are both prototypical glasses (simultaneously mechanically rigid and maximally disordered) and hyperuniform. Disordered hyperuniform materials can exhibit novel optical, transport and mechanical properties. We treat our generated jammed packings as dispersions of particles embedded in a matrix phase. The effective diffusion characteristics, effective dielectric constant, and effective elastic moduli of our jammed dispersions are estimated using rigorous bounding techniques as well as computer simulation techniques.