Abstract
A class of kinetically constrained models with reflection symmetry is proposed as an extension of the Fredrickson-Andersen model. It is proved that the proposed model on the square lattice exhibits a freezing transition at a non-trivial density. It is conjectured by numerical experiments that the known mechanism of the singular behaviors near the freezing transition in a previously studied model (spiral model) is not responsible for that in the proposed model.
Original language | English |
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Journal | Journal of Statistical Physics |
Volume | 155 |
Issue number | 5 |
Pages (from-to) | 827-842 |
ISSN | 0022-4715 |
DOIs | |
Publication status | Published - 1 Jun 2014 |