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Series Analysis of Tricritical Behavior:
Mean-Field Model and Partial Differential Approximants

Zaher Salman and Joan Adler

December 30, 1998

Depatment of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel


A partial differential approximant (PDA) analysis of series for the tricritical point of the mean field model of Glasser, Privman, and Schulman has been developed. All features of the tricritical point are exactly reproduced by an overwhelming majority of the trial PDAs in contrast to the mixed success of the slicewise Padé approximant method. The effect of noise on the approximant convergence is also studied.