Critical behavior of the Widom-Rowlinson mixture: coexistence diameter and order parameter

dc.creatorVink, R. L. C.
dc.date2006-01-04
dc.date.accessioned2026-07-07T06:57:20Z
dc.date.available2026-07-07T06:57:20Z
dc.descriptionThe critical behavior of the Widom-Rowlinson mixture [J. Chem. Phys. 52, 1670 (1970)] is studied in d=3 dimensions by means of grand canonical Monte Carlo simulations. The finite size scaling approach of Kim, Fisher, and Luijten [Phys. Rev. Lett. 91, 065701 (2003)] is used to extract the order parameter and the coexistence diameter. It is demonstrated that the critical behavior of the diameter is dominated by a singular term proportional to t^(1-alpha), with t the relative distance from the critical point, and alpha the critical exponent of the specific heat. No sign of a term proportional to t^(2beta) could be detected, with beta the critical exponent of the order parameter, indicating that pressure-mixing in this model is small. The critical density is measured to be rho*sigma^3 = 0.7486 +/- 0.0002, with sigma the particle diameter. The critical exponents alpha and beta, as well as the correlation length exponent nu, are also measured and shown to comply with d=3 Ising criticality.
dc.identifierhttps://arxiv.org/abs/cond-mat/0601075
dc.identifierhttp://arxiv.org/abs/cond-mat/0601075
dc.identifierJ. Chem. Phys. 124, 094502 (2006)
dc.identifierdoi:10.1063/1.2171191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106932
dc.subjectSoft Condensed Matter
dc.titleCritical behavior of the Widom-Rowlinson mixture: coexistence diameter and order parameter
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