title: Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems.
abstract: High-temperature series are computed for a generalized three-dimensional Ising model with arbitrary potential. Three 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=0.630 02(23), alpha=0.1099(7), eta=0.0364(4), beta=0.326 48(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.
authors.affiliation: Dipartimento di Fisica dell'Università di Pisa and INFN, I-56126 Pisa, Italy. campo@mailbox.difi.unipi.it
authors.forename: M
authors.initials: M
authors.lastname: Campostrini
authors.forename: A
authors.initials: A
authors.lastname: Pelissetto
authors.forename: P
authors.initials: P
authors.lastname: Rossi
authors.forename: E
authors.initials: E
authors.lastname: Vicari