S Muto et al 1980 J. Phys. A: Math. Gen. 13 1799 doi:10.1088/0305-4470/13/5/038
S Muto, T Oguchi and I Ono
Show affiliationsThe first-order cumulant expansion of the real-space renormalisation group is applied to the Ising model on d-dimensional hypercubic lattices in d=2, 3, 4 and 5. These calculations enable one to study the effect of dimensionality on the first-order cumulant expansion. Monte Carlo methods are used to make the calculations possible. One result is that the scaling power aH shows the effect of the critical dimension, while the scaling power aepsilon does not.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
82B28 Renormalization group methods (See also 81T17)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 5 (1 May 1980)
S Muto et al 1980 J. Phys. A: Math. Gen. 13 1799
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