منابع مشابه
Glassy random matrix models.
This paper discusses random matrix models that exhibit the unusual phenomena of having multiple solutions at the same point in phase space. These matrix models have gaps in their spectrum or density of eigenvalues. The free energy and certain correlation functions of these models show differences for the different solutions. This study presents evidence for the presence of multiple solutions bo...
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Certain simple models of structural glasses ref. [1, 2] map onto random matrix models. These random matrix models have gaps in their eigenvalue distribution. It turns out that matrix models with gaps in their eigenvalue distributions have the unusual property of multiple solutions or minimas of the free energy at the same point in phase space. I present evidence for the presence of multiple sol...
متن کاملCounting multiple solutions in glassy random matrix models.
This is a first step in counting the number of multiple solutions in certain glassy random matrix models introduced by N. Deo [Phys. Rev. E 65, 056115 (2002)]. We are able to do this by reducing the problem of counting the multiple solutions to that of a moment problem. More precisely, we count the number of different moments when we introduce an asymmetry (tapping) in the random matrix model a...
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A random matrix approach to glassy physics is introduced. It leads to a class of models that exhibit both glassy low-temperature phases and doubleand single-well configurations in their potential energy. The distribution of parameters characterizing the local potential energy configurations can be computed, and differ from those assumed in the standard tunneling model and its variants. Still, l...
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We use a random pinning procedure to study amorphous order in two glassy spin models. On increasing the concentration of pinned spins at constant temperature, we find a sharp crossover (but no thermodynamic phase transition) from bulk relaxation to localization in a single state. At low temperatures, both models exhibit scaling behavior. We discuss the growing length and time scales associated ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2002
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.65.056115