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Solvable Models of Supercooled Liquids in Three Dimensions
Tommaso Rizzo1, Thomas Voigtmann2
1Dipartimento Fisica, Università "Sapienza", Piazzale Aldo Moro 2, I-00185, Rome, Italy and ISC-CNR, UOS Rome, Università "Sapienza", Piazzale Aldo Moro 2, I-00185, Rome, Italy.
Abstract:
We introduce a supercooled liquid model and obtain parameter-free quantitative predictions that are in excellent agreement with numerical simulations, notably in the hard low-temperature region characterized by strong deviations from mode-coupling-theory behavior. The model is the Fredrickson-Andersen kinetically constrained model on the three-dimensional M-layer lattice. The agreement has implications beyond the specific model considered because the theory is potentially valid for many more systems, including realistic models and actual supercooled liquids.
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