Time evolution of fluctuations in the path-probability method. I

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Abstract
The path-probability method (PPM) is applied for the first time to the time development of the fluctuation from the most probable path, where the kinetic Ising ferromagnetism in the pair approximation is treated as an example. The evolution equations of the variance as well as the average motion of order parameters are derived and compared critically with the results obtained by the master-equation method (MEM). In the pair approximation, the PPM results agree completely with those of the MEM. This agreement is to be compared with the disagreement in the triangle approximation presented in Wada et al. (the following paper).