Ageing, dynamical heterogeneities and crystallization in the Biroli-Mézard modelE. Marinari1 and V. Van Kerrebroeck2
1 Dipartimento di Fisica, CNISM and INFN, Università di Roma "La Sapienza" P.le Aldo Moro 2, 00185 Roma, Italy
2 Dipartimento di Fisica and CNISM, Università di Roma "La Sapienza" P.le Aldo Moro 2, 00185 Roma, Italy
received 10 October 2005; accepted in final form 1 December 2005
published online 16 December 2005
We discuss a number of essential dynamical features of the Biroli-Mézard model. We observe a dynamical slowing-down which for high densities depends both on the observation time and on the age of the system. We relate this ageing behavior to the real space dynamics of the system, from which it is clear that the system initially gains mobility due to some essential initial restructuring. We discuss crystallization, its relevant time scales and connection with ageing. We quantify how heterogeneous the slow dynamics of the BM model is by investigating the dynamical susceptibility and discussing its dependence on the age of the system. We establish a number of quantitative evidences that are in good agreement with a recent analysis.
61.43.Fs - Glasses.
61.20.Lc - Structure of solids and liquids; cristallography: Time-dependent properties; relaxation.
05.50.+q - Lattice theory and statistics (Ising, Potts, etc.).
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