Turbulent crystal and idealized glass


Shin-ichi Sasa (Kyoto Univeristy)


In 1982, David Ruelle argued the possibility of ``Turbulent crystals'' as thermodynamic equilibrium states at non-zero temperature, besides periodic and quasi-periodic crystals. More precisely, they would not be invariant under translation but would differ from other crystals by the fuzziness of some diffraction peaks. Although he did not mention the relevance with glasses, turbulent crystals are closely related to idealized states of glass in finite dimensions. In my presentation, after reviewing dynamical system theory quickly, I discuss the connection between the turbulent crystals and glasses. Furthermore, as one example of turbulent crystal or pure glass in finite dimensions (in my word), I show the a 128-states model in the cubic lattice. The result was published in Ref. [S.-i. Sasa, Phys. Rev. Lett. 109 165702 (2012).]

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