Existence and order of the phase transition of the Ising model with fixed magnetization

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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10 pages, 2 figures; submitted to Journal of Statistical Physics

Scientific paper

Properties of the two dimensional Ising model with fixed magnetization are deduced from known exact results on the two dimensional Ising model. The existence of a continuous phase transition is shown for arbitrary values of the fixed magnetization when crossing the boundary of the coexistence region. Modifications of this result for systems of spatial dimension greater than two are discussed.

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