Droplets in the coexistence region of the two-dimensional Ising model

Abstract

The two-dimensional Ising model with fixed magnetization is studied using Monte Carlo techniques. At the coexistence line, the macroscopic, extensive droplet of minority spins becomes thermally unstable by breaking up into microscopic clusters. Intriguing finite--size effects as well as singularities of thermal and cluster properties associated with the transition are discussed.

7 pages, 3 figures included, submitted to J. Phys. A: Math. Gen

References in corpus (1)

• Rigorous Probabilistic Analysis of Equilibrium Crystal Shapes

Cited by in corpus (11)

• On the formation/dissolution of equilibrium droplets
• Microscopic model approaches to fragmentation of nuclei and phase transitions in nuclear matter
• Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates
• Critical region for droplet formation in the two-dimensional Ising model
• Crossing the coexistence line at constant magnetization
• Monte Carlo study of the evaporation/condensation transition on different Ising lattices
• Order parameter fluctuations and thermodynamic phase transitions in finite spin systems and fragmenting nuclei
• Properties of the largest fragment in multifragmentation: a canonical thermodynamic calculation
• First-order derivative of cluster size as a new signature of phase transition in heavy ion collisions at intermediate energies
• Application of the parallel multicanonical method to lattice gas condensation
• Phenomenological theory of the Potts model evaporation-condensation transition