Effective Critical Exponents of Ising Strips D*L with D<<L

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Monte Carlo data simulating phase transitions in Ising strips D× L, (D) with periodic boundary conditions show that Tc(D)=0 for D≤ D≃ 6 and 0<Tc(D)<Tc(d=2) for D>D. Regular scaling of MLβ/ν vs |T-Tc|L¹/ν is obtained only for % D>D the Monte Carlo effective susceptibility critical exponent γeff (D) is shown to be well described by γ(d)=β(d)[δ(d)-1] with % deff(D) given by deff(D)≃ 1.5+(1/200)(D-6) and β(d)=(3d%/16-1/4), δ⁻¹(d)=(2d/15-1/5), which can be understood as valid with deff(D).