G. Parisi et al., SEVERAL RESULTS ON THE FINITE-SIZE CORRECTIONS IN THE SHERRINGTON-KIRKPATRICK SPIN-GLASS MODEL, Journal of physics. A, mathematical and general, 26(15), 1993, pp. 3775-3789
We present several results on the finite-size corrections in the SK mo
del within the spin-glass phase slightly below the transition temperat
ure and along the de Almeida-Thouless (AT) line. In the first case, we
study the finite-size corrections for the distribution of overlaps P(
q) and for ultrametricity. Along the AT line, finite-size corrections
to the free and internal energy are also obtained. Numerical results a
re in good agreement with our predictions.