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

2002/02/05 by Michael Kastner
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf

published as Journal of Statistical Physics 109:133-142 (2002) · 10 pages, 2 figures; submitted to Journal of Statistical Physics

arxiv created 2002/02/05 · arxiv updated 2009/11/30

Abstract

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.

Related

• Continuity of the Ising phase transition on nonamenable groups
• Exact solution of the two-dimensional (2D) Ising model at an external magnetic field
• Two-dimensional Ising model in a finite magnetic field for the square lattice of infinite sites-Partition function and Magnetization
• No or diffuse phase transition with temperature in one-dimensional Ising model?
• The Finite Energy Constant Magnetization of the Two - Dimensional Ising\n Model