First-Order Phase Transitions in Finite Systems II: Weak Boundary Conditions
Igor Medved
DOI:
Abstract
We continue in our brief review of rigorous results on the finite-size effect near firt-order phase transitions with a two phase coexistence. We again consider the large class ofstatiscal mechanical models in (hyper)cubic volumes and at low temperatures that can be analysed with the help of the Pirogov-Sinai theory. this time, however, we consider a mode realistic case of weak fixed boundary conditions. A universal behavior of the asymptotic smoothing of the phase transitions discontinuities as well as the determination of the transition point from the finite-size data is presented.