Precise simulation of criticality in asymmetric fluids
Abstract
Extensive grand canonical Monte Carlo simulations have been performed for the hard-core square-well fluid with interaction range b=1.5σ. The critical exponent for the correlation length has been estimated in an unbiased fashion as ν=0.63+/-0.03 via finite-size extrapolations of the extrema of properties measured along specially constructed, asymptotically critical loci that represent pseudosymmetry axes. The subsequent location of the critical point achieves a precision of five parts in 104 for Tc and about 0.3% for the critical density ρc. The effective exponents γ+eff and βeff indicate Ising-type critical-point values to within 2% and 5.6%, respectively, convincingly distinguishing the universality class from the ``nearby'' XY and n=0 (self-avoiding walk) classes. Simulations of the heat capacity CV(T,ρ) and d2pσ/dT2, where pσ is the vapor pressure below Tc, suggest a negative but small Yang-Yang anomaly, i.e., a specific-heat-like divergence in the corresponding chemical potential derivative (d2μσ/dT2) that requires a revision of the standard asymptotic scaling description of asymmetric fluids.
- Publication:
-
Physical Review E
- Pub Date:
- May 2001
- DOI:
- 10.1103/PhysRevE.63.051507
- Bibcode:
- 2001PhRvE..63e1507O
- Keywords:
-
- 02.70.Rr;
- 05.70.Jk;
- 64.60.Fr;
- 64.70.Fx;
- General statistical methods;
- Critical point phenomena;
- Equilibrium properties near critical points critical exponents;
- Liquid-vapor transitions