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Location of the Zeros of the Grand Partition Function of Certain Classes of Lattice Gases
Author(s) -
Heilmann Ole J.
Publication year - 1971
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1971504385
Subject(s) - mathematics , lattice (music) , fugacity , grand potential , mathematical analysis , mathematical physics , combinatorics , pure mathematics , physics , thermodynamics , acoustics
It is proved that there exist lattices in any dimension such that the grand partition function of the corresponding repulsive lattice gas has all the zeros in the fugacity on the negative real axis. The argument also furnishes a new proof of the Lee‐Yang circle theorem.