Data di Pubblicazione:
1993
Citazione:
Hierarchical reference theory of fluids: Application to three-dimensional Ising model / D. Pini, A. Parola, L. Reatto. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 72:5-6(1993 Sep), pp. 1179-1201. [10.1007/BF01048185]
Abstract:
The hierarchical reference theory (HRT) of fluids is applied to the three-dimensional Ising model on a simple cubic lattice with nearest-neighbor ferromagnetic interaction via the equivalence with the lattice-gas model. The hierarchy is truncated to the first equation and closed with an Ornstein-Zernike ansatz for the direct correlation function embodying both thermodynamic consistency and on-site repulsion between lattice particles. The resulting equations are integrated numerically above and below the critical temperature and the results are compared with those obtained by closed-form approximants. We show that HRT yields nontrivial critical exponents with the correct scaling regime and a value.of the critical temperature in very close agreement with the true one. At the same time it retains all the information about the short-range behavior of the system, and so gives a very accurate description also away from the critical point. Below the critical temperature as long as long-wavelength fluctuations are included in the system the van der Waals loop is suppressed and is replaced by a region where the compressibility is infinite, namely the coexistence region.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
coexistence region; critical behavior; direct correlation function; Ising model
Elenco autori:
D. Pini, A. Parola, L. Reatto
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