Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Particulate Matter: From microscopic interactions to collective motion (joint session DY/CPP)

DY 29.5: Talk

Tuesday, March 13, 2018, 15:00–15:15, EB 107

Universal hidden order in amorphous cellular geometries — •Michael A. Klatt¹, Jakov Lovrić^2,3, Duyu Chen⁴, Sebastian C. Kapfer⁵, Fabian M. Schaller^5,1, Philipp W. A. Schönhöfer^3,5, Bruce S. Gardiner³, Ana-Sunčana Smith^2,5, Salvatore Torquato^4,6, and Gerd E. Schröder-Turk^3,5 — ¹KIT, Institute of Stochastics, 76049 Karlsruhe, Germany — ²Division of Physical Chemistry, Ruder Bošković Institute, Zagreb, Croatia — ³Murdoch University, School of Engineering and Information Technology, 90 South St, Murdoch WA 6150, Australia — ⁴Department of Chemistry, Princeton University, New Jersey 08544, USA — ⁵Institute for Theoretical Physics, FAU, 91058 Erlangen, Germany — ⁶Department of Physics, PRISM, PACM, Princeton University, New Jersey 08544, USA

Starting from an amorphous partitioning of space into cells, we iteratively optimize the ``centrality'' of the cells, minimizing the so-called Quantizer energy. The energy landscape is replete with local minima to which the system converges despite the existence of lower-energy crystalline configurations. Irrespective of the level and type of disorder in the initial configurations, the tessellations converge to the same amorphous state, as measured by the same structure factor and energy distributions. The final disordered configurations exhibit an anomalous suppression of long-wavelength density fluctuations, known as hyperuniformity. For systems related to the Quantizer problem, such as self-assembled copolymeric phases, our findings suggest the possibility of stable disordered hyperuniform phases.