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Phase transition in a lattice gas of hard spheres with second-neighbor exclusions on the simple cubic lattice. (English) Zbl 0583.76084

Using reflection positivity and the Peierls argument, we prove the existence of an ordered phase at sufficiently high activity for a lattice gas of hard spheres on the simple cubic lattice with first-and second- neighbor exclusions.

MSC:

76N15 Gas dynamics (general theory)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
82B26 Phase transitions (general) in equilibrium statistical mechanics
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