6533b7dcfe1ef96bd1271f96

RESEARCH PRODUCT

Critical end point behaviour in a binary fluid mixture

Nigel B. Wilding

subject

BinodalPhase boundaryBinary fluidGrand canonical ensembleSingularityStatistical Mechanics (cond-mat.stat-mech)Binary numberFOS: Physical sciencesGravitational singularityStatistical physicsScalingCondensed Matter - Statistical MechanicsMathematics

description

We consider the liquid-gas phase boundary in a binary fluid mixture near its critical end point. Using general scaling arguments we show that the diameter of the liquid-gas coexistence curve exhibits singular behaviour as the critical end point is approached. This prediction is tested by means of extensive Monte-Carlo simulations of a symmetrical Lennard-Jones binary mixture within the grand canonical ensemble. The simulation results show clear evidence for the proposed singularity, as well as confirming a previously predicted singularity in the coexistence chemical potential [Fisher and Upton, Phys. Rev. Lett. 65, 2402 (1990)]. The results suggest that the observed singularities, particularly that in the coexistence diameter, should also be detectable experimentally.

10.1103/physreve.55.6624http://arxiv.org/abs/cond-mat/9704099