Order formation processes of complex systems including different parity order parameters

Yoichiro Hashizume, Masuo Suzuki and Soichiro Okamura

Physica A: Statistical Mechanics and its Applications, 2014, vol. 403, issue C, 217-226

Abstract: In the present study, we focus on the parity of the order parameters and clarify the order formation process in a system including two order parameters. Each order parameter shows different parity under a gauge transformation, namely even and odd order parameters. For example, in a spin-glass model, the even order parameter corresponds to the spin-glass order parameter while the odd one corresponds to the magnetization. We introduce phenomenologically a set of Langevin equations to express the ordering process under a white Gaussian noise. Using two kinds of Fokker–Planck equations, we analyze the order formation process and the entropy production. Furthermore, we show the noise dependence of the onset time.

Keywords: Order formation of complex systems; Scaling theory of order formation; Entropy production; Even-parity/odd-parity order parameter; Onset time; Time evolution of distribution functions (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:403:y:2014:i:c:p:217-226

DOI: 10.1016/j.physa.2014.02.031

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