In three dimensions, or more generally, below the upper critical dimension,
scaling laws for critical phenomena seem well understood, for both infinite and
for finite systems. Above the upper critical dimension of four, finite-size
scaling is more difficult.
Chen and Dohm predicted deviation in the universality of the Binder cumulants
for three dimensions and more for the Ising model. This deviation occurs if the
critical point T = Tc is approached along lines of constant A = L*L*(T-Tc)/Tc,
then different exponents a function of system size L are found depending on
whether this constant A is taken as positive, zero, or negative. This effect
was confirmed by Monte Carlo simulations with Glauber and Creutz kinetics.
Because of the importance of this effect and the unclear situation in the
analogous percolation problem, we here reexamine the five-dimensional Glauber
kinetics.Comment: 8 pages including 5 figure
