ISSN:
1572-9613
Keywords:
Finite-size scaling
;
spherical model
;
long-range interactions
;
Madelung lattice constants
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The mean spherical model with an arbitrary interaction potential, the Fourier transform of which has a long-wavelength exponent σ, 0〈σ⩽2, is considered under periodic boundary conditions and fully finite geometry ind dimensions, when σ〈d〈2σ. A new form of the finite-size scaling equation for the spherical field in the critical region is derived, which relates the temperature shift to Madelung-type lattice constants. The method of derivation makes use of the Poisson summation formula and a Laplace transformation of the momentumspace correlation function.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01016408
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