Infinite compressibility states in the Hierarchical Reference Theory of fluids. II. Numerical evidence

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dc.creatorReiner, Albert
dc.creatorKahl, Gerhard
dc.date2003-08-23
dc.date2005-03-05
dc.date.accessioned2026-07-07T02:53:04Z
dc.date.available2026-07-07T02:53:04Z
dc.descriptionContinuing our investigation into the Hierarchical Reference Theory of fluids for thermodynamic states of infinite isothermal compressibility kappa[T] we now turn to the available numerical evidence to elucidate the character of the partial differential equation: Of the three scenarios identified previously, only the assumption of the equations turning stiff when building up the divergence of kappa[T] allows for a satisfactory interpretation of the data. In addition to the asymptotic regime where the arguments of part I (cond-mat/0308467) directly apply, a similar mechanism is identified that gives rise to transient stiffness at intermediate cutoff for low enough temperature. Heuristic arguments point to a connection between the form of the Fourier transform of the perturbational part of the interaction potential and the cutoff where finite difference approximations of the differential equation cease to be applicable, and they highlight the rather special standing of the hard-core Yukawa potential as regards the severity of the computational difficulties.
dc.descriptionJ. Stat. Phys., in press. Minor changes to match published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0308468
dc.identifierhttp://arxiv.org/abs/cond-mat/0308468
dc.identifierJ. Stat. Phys. 118 (2005) 1129-1149
dc.identifierdoi:10.1007/s10955-004-2022-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22070
dc.subjectStatistical Mechanics
dc.titleInfinite compressibility states in the Hierarchical Reference Theory of fluids. II. Numerical evidence
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