Abstract
Two classes ofn-dimensional lattice sums are shown to exhibit a weak form of a “phase transition” in their asymptotic properties. Both classes depend on two parameters such that the leading term in an asymptotic limit of one parameter is independent of the structure of the lattice in one domain of the second parameter and dependent on the structure in an adjacent domain, with a “boundary point,” or “transition temperature,” between the two domains.
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Hall, G.L. Weak “phase transitions” in asymptotic properties of lattice sums. J Stat Phys 14, 521–524 (1976). https://doi.org/10.1007/BF01012850
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DOI: https://doi.org/10.1007/BF01012850