Abstract
Glass transition where viscosity of liquids increases dramatically upon
decrease of temperature without any major change in structural properties,
remains one of the most challenging problems in condensed matter physics
(Cavagna, 2009; Berthier and Biroli, 2011) in spite of tremendous research
efforts in last decades. On the other hand disordered freezing of spins in a
magnetic materials with decreasing temperature, the so-called spin glass
transition, is relatively better understood (Mezard, Parisi and Virasoro, 1987;
Castellani and Cavagna, 2005). Previously found similarity between some spin
glass models with the structural glasses (Kirkpatrick and Thirumalai, 1987;
Kirkpatrick and Wolynes, 1987; Kirkpatrick and Wolynes, 1987; Franz and Parisi,
1999; Moore and Drossel, 2002) inspired development of theories of structural
glasses (Kirkpatrick, Thirumalai and Wolynes, 1989; Barrat, Franz and Parisi,
1997; Mézard and Parisi, 1999; Lubchenko and Wolynes, 2007; Biroli and
Bouchaud, 2012) based on the scenario of spin glass transition. This scenario
though looks very appealing is still far from being well established. One of
the main differences between standard spin systems to molecular systems is the
absence of quenched disorder and the presence of translational invariance: it
often assumed that this difference is not relevant, but this conjecture is
still far from being established. The quantities, which are well defined and
characterized for spin models, are not easily calculable for molecular glasses
due to the lack of quenched disorder which breaks the translational invariance
in the system and the characterization of the similarity between the spin and
the structural glass transition remained an elusive subject still now. In this
study we introduced a model structural glass with built in quenched disorder
which alleviates this main difference between the spin and molecular glasses
thereby helping us to compare these two systems: the possibility of producing a
good thermalization at rather low temperatures is one of the advantages of this
model.
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