刘建民
理论物理通讯. 1985, 4(4): 413-423.
The reliabilitu of the hynothesis that two nonlinear scaling fieles gt and gh satisfy Fs(gt,gh)=|gt|2-α Y±)gh/|gt|Δ) and Fs(gt,gh)=|gt|2-α/Δ Y0)gt/|gh|1/Δ),which is adopted in the theory of analytic correction to scaling due to nonlinearity of sca-ling fields, is investigated. It is shown that this hypothesis is a good one only when we take some suitable approximations under the quasi-asymptotic condition, even thou护ignore all the irrelevant variables, so that we can adopt it as a hypothe-sis in the theory with reservations. The third possible source for correction to scaling, the nonlinearity of order parameter,is also pointed out in addition to the source of the irrelevant variables and of the nonlinearitN of scaling fields.
where N is the total number spins, to characterize the randomness of the partition function z. We point out, when Δ=0, the relation lnZ=lnZ is valid for the Sherrington-Kirkpatrick (SK) model,the generalized SK model. It is shown that this quantity can also be used to determine the spin glass transition temperature in the absence of extprnal field with zero average exchange J0.
