Abstract
The one-dimensional contact process (CP) is studied by a systematic series of approximations. A new decoupling procedure of correlation functions is proposed by combining the idea of Suzuki's correlation-identity-decoupling (CID) with a concept of window. Liggett's approximations are also considered. Applying Suzuki's coherent-anomaly method (CAM) to the mean-field-type solutions, the values of the critical point and the critical exponents are estimated as λ c =1.6490(±0.0008), β=0.280(±0.013), Δ(=β/δ)=1.734(±0.001), \(\hat{\beta}=0.627(\pm0.005)\). Finally a comparison with other estimates is shown.
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