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arXiv · 1708.01912

High-fugacity expansion, Lee-Yang zeros and order-disorder transitions in hard-core lattice systems

Ian Jauslin·Joel L. Lebowitz
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Abstract

We establish existence of order-disorder phase transitions for a class of "non-sliding" hard-core lattice particle systems on a lattice in two or more dimensions. All particles have the same shape and can be made to cover the lattice perfectly in a finite number of ways. We also show that the pressure and correlation functions have a convergent expansion in powers of the inverse of the fugacity. This implies that the Lee-Yang zeros lie in an annulus with finite positive radii.

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Ian Jauslin, Joel L. Lebowitz. 2018-04-16. High-fugacity expansion, Lee-Yang zeros and order-disorder transitions in hard-core lattice systems. https://doi.org/10.1007/s00220-018-3269-7

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