Make the correspondence concrete. In par-ticulare, derive the precise relationships between the para-meters in the Ising magnet and those in the lattice gas that make the canonical partition function...

Make the correspondence concrete. In par-ticulare, derive the precise relationships between the para-meters in the Ising magnet and those in the lattice gas that make the canonical partition function of the former identical within a proportionality constant to the grand partition function of the latter.