# Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems

Campostrini, Massimo and Pelissetto, Andrea and Rossi, Paolo and Vicari, Ettore (1999) Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems. Physical review. E, Statistical, nonlinear, and soft matter physics, 60 . p. 3526. ISSN 1550-2376

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## Abstract

High-temperature series are computed for a generalized $3d$ Ising model with arbitrary potential. Two specific improved'' potentials (suppressing leading scaling corrections) are selected by Monte Carlo computation. Critical exponents are extracted from high-temperature series specialized to improved potentials, achieving high accuracy; our best estimates are: $\gamma=1.2371(4)$, $\nu=0.63002(23)$, $\alpha=0.1099(7)$, $\eta=0.0364(4)$, $\beta=0.32648(18)$. By the same technique, the coefficients of the small-field expansion for the effective potential (Helmholtz free energy) are computed. These results are applied to the construction of parametric representations of the critical equation of state. A systematic approximation scheme, based on a global stationarity condition, is introduced (the lowest-order approximation reproduces the linear parametric model). This scheme is used for an accurate determination of universal ratios of amplitudes. A comparison with other theoretical and experimental determinations of universal quantities is presented.

Item Type: Article Imported from arXiv Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI" dott.ssa Sandra Faita 09 Apr 2015 15:25 09 Apr 2015 15:25 http://eprints.adm.unipi.it/id/eprint/1778

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