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We present reversible magnetization data of a YBa2Cu4O8 single crystal andanalyze the evidence for 3D-xy critical behavior and a magnetic field induced3D to 1D crossover. Remarkable consistency with these phenomena is observed inagreement with a magnetic field induced finite size effect, whereupon thecorrelation length transverse to the applied magnetic field cannot grow beyondthe limiting magnetic length scale L_H. By applying the appropriate scalingform we obtain the zero-field critical temperature, the 3D to 1D crossover, thevortex melting line and the universal ratios of the related scaling variables.Accordingly there is no continuous phase transition in the (H,T)-plane alongthe H_c2-lines as predicted by the mean-field treatment.

3D-xy critical properties of YBa2Cu4O8 and magnetic field induced 3D to 1D crossover