Crossing the coexistence line at constant magnetization

Abstract

Using Monte Carlo histogram methods, the microcanonical caloric curve is computed for the Ising model in two and three dimensions with fixed magnetization. Whereas the signatures of a first order phase transition are clearly visible for large systems, intriguing finite size effects are revealed for smaller system sizes. The behaviour of the caloric curve is studied in a systematic way. Furthermore, results for the thermal stability of three-dimensional droplets of minority spins inside the two-phase region are presented. The effect of the percolation transition on the stability of these droplets is discussed.

20 pages, 7 figures included, to appear in Journal of Statistical Physics

References in corpus (4)

• Phase Transitions in "Small" systems
• Rigorous Probabilistic Analysis of Equilibrium Crystal Shapes
• Droplets in the coexistence region of the two-dimensional Ising model
• Three-dimensional Ising model in the fixed-magnetization ensemble: a Monte Carlo study

Cited by in corpus (19)

• On the formation/dissolution of equilibrium droplets
• Continuous phase transitions with a convex dip in the microcanonical entropy
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• First-order transition features of the 3D bimodal random-field Ising model
• Critical region for droplet formation in the two-dimensional Ising model
• Monte Carlo study of the evaporation/condensation transition on different Ising lattices
• Critical adsorption and critical Casimir forces in the canonical ensemble
• Ensemble dependence of Critical Casimir Forces in Films with Dirichlet Boundary Conditions
• Transient backbending behavior in the Ising model with fixed magnetization
• Statistical field theory with constraints: application to critical Casimir forces in the canonical ensemble
• Exploring different regimes in finite-size scaling of the droplet condensation-evaporation transition
• Microcanonical phase diagrams of short-range ferromagnets
• Order parameter fluctuations and thermodynamic phase transitions in finite spin systems and fragmenting nuclei
• First-order transition features of the triangular Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions
• Microcanonical characterization of first-order phase transitions in a generalized model for aggregation
• Criticality in the randomness-induced second-order phase transition of the triangular Ising antiferromagnet with nearest- and next-nearest-neighbor interactions
• Symmetries of microcanonical entropy surfaces
• Phase transition in compressible Ising systems at fixed volume
• Phenomenological theory of the Potts model evaporation-condensation transition