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ε cr .
linear fits and avoid the problem ofthe uncertainty ofthe position ofthe
Fig. 3 shows the data and linear fits for all functions listed above.
Fig. 3. Estimates for correlation-length exponents ν . Log-log plots of derivatives
ε log |m| L , ε log m L , ε log m L (left scale) and log-plots of V 2 , V 4 and V 6 are pre-
sented (right scale). The solid lines correspond to linear fits for L=40,60,80,100.
4.4 Estimates of Other Critical Exponents
Estimates for β and γ are found from relations (12). Again, we work with linear
approximations of |m| L , m L , m L and χ L for ε in critical regimes. We find that
values of β/ν and γ/ν are very close to the Ising model ones, i.e., β Ising =0 . 125,
γ Ising =1 . 75. Moreover, we could easily calculate ε cr by chosing such a value
of ε for which the corresponding β/ν and γ/ν take values that are nearest to
the Ising ones. This way we can provide the following description of the critical
regimes in all considered systems:
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