The Complement: A Solution to Liquid Drop Finite Size Effects in Phase Transitions

The complement: a solution to liquid drop finite size effects in phase transitions.

The effects of the finite size of a liquid drop undergoing a phase transition are described in terms of the complement, the largest (but mesoscopic) drop representing the liquid in equilibrium with the vapor. Vapor cluster concentrations, pressure, and density from fixed mean density lattice gas (Ising) calculations are explained in terms of the complement generalization of Fisher's model. Acco...

Test of finite-size scaling in first order phase transitions

2014 First order transitions are rounded in finite cells or in infinite strips of finite width (cylinders). In this work we have considered the rounding of the jump of the magnetization of an Ising system at a fixed temperature T below Tc when the external field h goes from a small positive, to a small negative value. This rounding is well-known in a finite cell (block geometry) but the situati...

Liquid Vapor Phase Transitions for Systems with Finite-Range Interactions

An outstanding problem in equilibrium statistical mechanics is to derive rigorously the existence of a liquid vapor phase transition in a continuum particle system. While such transitions are observed in all types of macroscopic systems there is at present no proof from first principles of their existence in particles interacting with any kind of reasonable potential, say Lennard Jones or hard ...

Phase transitions in liquid crystals

Analysis of Drop Size Distributions in Lean Liquid - Liquid Dispersions

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