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In the present study, we focus on the parity of the order parameters andclarify the order formation process in a system including two order parameters.Each order parameter shows each different parity under a gauge transformation,namely even and odd order parameters. For example, in a spin-glass model, theeven order parameter corresponds to the spin-glass order parameter while theodd one corresponds to the magnetization. We introduce phenomenologically a setof Langevin equations to express the ordering process under a white Gaussiannoise. Using two kinds of Fokker-Planck equations, we analyze the orderformation process and the entropy production. Furthermore, we show the noisedependence of the onset time.

Order formation processes of complex systems including different parity order parameters