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Alternative solutions to diluted p-spin models and XORSAT problems

M. Mezard·F. Ricci-Tersenghi·R. Zecchina
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Abstract

We derive analytical solutions for p-spin models with finite connectivity at zero temperature. These models are the statistical mechanics equivalent of p-XORSAT problems in theoretical computer science. We give a full characterization of the phase diagram: location of the phase transitions (static and dynamic), together with a description of the clustering phenomenon taking place in configurational space. We use two alternative methods: the cavity approach and a rigorous derivation.

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M. Mezard, F. Ricci-Tersenghi, R. Zecchina. 2002-09-19. Alternative solutions to diluted p-spin models and XORSAT problems. https://arxiv.org/abs/cond-mat/0207140

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