Critical end point behaviour in a binary fluid mixture

Abstract

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.

17 pages Revtex, 11 epsf figures. To appear in Phys. Rev. E

References in corpus (5)

• Multicanonical Ensemble: A New Approach to Simulate First-order Phase Transitions
• Critical point and coexistence curve properties of the Lennard-Jones fluid: A finite-size scaling study
• Tricritical universality in a two-dimensional spin fluid
• Are critical finite-size scaling functions calculable from knowledge of an appropriate critical exponent?
• Coexistence Curve Singularities at Critical End Points

Cited by in corpus (18)

• Liquid-vapour phase behaviour of a symmetrical binary fluid mixture
• Transport phenomena and microscopic structure in partially miscible binary fluids: A simulation study of the symmetrical Lennard-Jones mixture
• Wetting of a symmetrical binary fluid mixture on a wall
• Structure and dynamics of binary liquid mixtures near their continuous demixing transitions
• Continuous demixing at liquid-vapor coexistence in a symmetrical binary fluid mixture
• Computing the phase diagram of binary mixtures: a patchy particle case study
• Critical Casimir Forces for Films with Bulk Ordering Fields
• Phase behaviour of a symmetrical binary fluid mixture
• Critical Casimir Interactions Between Spherical Particles in the Presence of the Bulk Ordering Fields
• Effect of criticality on wetting layers: A Monte-Carlo simulation study
• Direct calculation of the critical Casimir force in a binary fluid
• Metastable liquid lamellar structures in binary and ternary mixtures of Lennard-Jones fluids
• Phase diagrams and free-energy landscapes for model spin-crossover materials with antiferromagnetic-like nearest-neighbor and ferromagnetic-like long-range interactions
• Learning the bulk and interfacial physics of liquid-liquid phase separation with neural density functionals
• Field-Theoretical Analysis of Critical and Coexistence Singularities at Critical End Points
• Phase behaviour of a symmetrical binary fluid mixture in a field
• Gauge invariance and hyperforce correlation theory for equilibrium fluid mixtures
• Critical behaviour near critical end points and tricritical points in disordered spin-1 ferromagnets