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Read the full paper: here Link to the journal: here Quantifying the degree of order and disorder in many-particle systems remains an outstanding problem in physics, materials science, and mathematics. To this end, we consider the translational order metric \(\tau_{T}\), defined as the squared \(L^2\) norm of the total correlation function \(h(\textbf{r})\), and introduce its … Continue Reading “Quantifying Translational and Bond-Orientational Order Metrics in Hyperuniform and Nonhyperuniform Many-Particle Systems” is Published in Physical Review E

Read the full paper: here Link to the journal: here Complete phononic band gaps–frequency intervals that exclude elastic waves of every polarization–have so far been realized only in periodic phononic crystals, whose band structures are direction-dependent and defect-sensitive. Disordered stealthy hyperuniform composites have produced complete and isotropic photonic band gaps, but analogous elastic designs have … Continue Reading “Large complete and isotropic phononic band gaps in ultradense stealthy hyperuniform composites” is Published in PNAS

PCTS workshop – December 9-11, 2026 – Jadwin Hall 407, Princeton University, Princeton, NJ Organizers: Carlo Vanoni, Sarang Gopalakrishnan, Paul J. Steinhardt, Salvatore Torquato This workshop will bring together researchers working across theory, computation, and experiment to address fundamental open questions in the rapidly evolving field of hyperuniformity. Topics will include the emergence of hyperuniformity … Continue Reading Hidden Order in Disorder: The Expanding Landscape of Hyperuniformity