Abstract:The zeros of the size-n partition functions for a statistical mechanical model can be used to help understand the critical behaviour of the model as n → ∞.Here we use weighted Dyck paths as a simple model of two-dimensional polymer adsorption, and study the behaviour of the partition function zeros, particularly in the thermodynamic limit. The exact solvability of the model allows for a precise calculation of the locus of the zeros and the way in which an edge-singularity on the positive real axis is formed. W… Show more
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