6533b7d5fe1ef96bd1265098

RESEARCH PRODUCT

Applications of Finite-Size-Scaling Techniques to the Simulation of Critical Fluids

N. B. Wilding

subject

PhysicsBinodalField (physics)Ising modelMechanicsSymmetry breakingParticle densityScalingSymmetry (physics)Mixing (physics)

description

A finite-size scaling theory is described that takes account of the lack of symmetry between the coexisting phases of fluids. This broken symmetry is manifest in the so-called ‘field mixing’ phenomenon which is a central feature of the non-universal critical behaviour of fluids. It is shown that the presence of field mixing leads to an alteration to the limiting form of the critical energy distribution and to a finite-size correction to the critical order parameter (particle density) distribution. As a result, finite-size shifts occur in the critical particle and energy densities. The theoretical predictions are tested with an extensive Monte-Carlo study of the critical density and energy fluctuations of the 3D Lennard-Jones fluid.

https://doi.org/10.1007/978-3-642-79991-4_3