Improved high temperature expansion and critical equation of state of three-dimensional Ising - like systems
- ,
- ,
- Paolo Rossi(,)
- Pisa U. and
- INFN, Pisa
62 pages
Published in:
- Phys.Rev.E 60 (1999) 3526-3563
e-Print:
- cond-mat/9905078 [cond-mat]
Report number:
- IFUP-TH-22-99
View in:
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Abstract: (APS)
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 γ=1.2371(4), ν=0.63002(23), α=0.1099(7), η=0.0364(4), β=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.References(140)
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