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Название: Percolation in Hard-Core Lattice Gases and a Model Ferrofluid
Авторы: Frohlich J., Huckaby D.A.
A lattice gas on Z^3 consisting of hard spheres with exclusions extending through third neighbors is proved to undergo a percolation transition. If spins with ferromagnetic couplings are attached to the spheres, spontaneous magnetization is proved to occur. This may provide a model for a "ferrofluid," a system which exhibits spontaneous magnetization without crystalline order. Similar results are also obtained for an analogous model on Z^2.