Abstract
In this paper a simple mean-field model for the liquid-glass phase transition is proposed. This is the low density D-dimensional system of N particles interacting via infinite-range oscillating potential. In the framework of the replica approach it is shown that such a system exhibits the phase transition between the high-temperature liquid phase and the low-temperature glass phase. This phase transition is described in terms of the standard one-step replica symmetry breaking scheme.
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Dotsenko, V. Infinite Range Interaction Model of a Structural Glass. Journal of Statistical Physics 115, 823–837 (2004). https://doi.org/10.1023/B:JOSS.0000022368.39876.1c
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DOI: https://doi.org/10.1023/B:JOSS.0000022368.39876.1c