title: High-temperature expansions of the higher susceptibilities for the Ising model in general dimension d.
abstract: The high-temperature expansion coefficients of the ordinary and the higher susceptibilities of the spin-1/2 nearest-neighbor Ising model are calculated exactly up to the 20th order for the general d-dimensional (hyper)simple-cubical lattices. These series are analyzed to study the dependence of critical parameters on the lattice dimensionality. Using the general d expression of the ordinary susceptibility, we have more than doubled the length of the existing series expansion of the critical temperature in powers of 1/d.
authors.affiliation: Dipartimento di Fisica Universita' di Milano-Bicocca and Istituto Nazionale di Fisica Nucleare Sezione di Milano-Bicocca 3 Piazza della Scienza, 20126 Milano, Italy. paolo.butera@mib.infn.it
authors.forename: P
authors.initials: P
authors.lastname: Butera
authors.forename: M
authors.initials: M
authors.lastname: Pernici
mesh_terms: D003198:Computer Simulation; D006358:Hot Temperature; D060526:Magnetic Fields; D015233:Models, Statistical; D013113:Spin Labels
chemical_list: D013113:Spin Labels