Multifractal modeling of the production of concentrated sugar syrup crystal

doi:10.1088/1674-1056/25/7/070502

中国物理B ›› 2016, Vol. 25 ›› Issue (7): 70502-070502.doi: 10.1088/1674-1056/25/7/070502

Multifractal modeling of the production of concentrated sugar syrup crystal

Sheng Bi(闭胜), Jianbo Gao(高剑波)

Institute of Complexity Science and Big Data Technology, Guangxi University, Nanning 530005, China

收稿日期:2016-01-12 修回日期:2016-02-29 出版日期:2016-07-05 发布日期:2016-07-05
通讯作者: Jianbo Gao E-mail:jbgao.pmb@gmail.com

Multifractal modeling of the production of concentrated sugar syrup crystal

Sheng Bi(闭胜), Jianbo Gao(高剑波)

Institute of Complexity Science and Big Data Technology, Guangxi University, Nanning 530005, China

Received:2016-01-12 Revised:2016-02-29 Online:2016-07-05 Published:2016-07-05
Contact: Jianbo Gao E-mail:jbgao.pmb@gmail.com

摘要/Abstract

摘要： High quality, concentrated sugar syrup crystal is produced in a critical step in cane sugar production: the clarification process. It is characterized by two variables: the color of the produced sugar and its clarity degree. We show that the temporal variations of these variables follow power-law distributions and can be well modeled by multiplicative cascade multifractal processes. These interesting properties suggest that the degradation in color and clarity degree has a system-wide cause. In particular, the cascade multifractal model suggests that the degradation in color and clarity degree can be equivalently accounted for by the initial “impurities” in the sugarcane. Hence, more effective cleaning of the sugarcane before the clarification stage may lead to substantial improvement in the effect of clarification.

关键词: time series analysis, non-poisson process, power-law distribution, multiplicative cascade multifractal processes

Abstract: High quality, concentrated sugar syrup crystal is produced in a critical step in cane sugar production: the clarification process. It is characterized by two variables: the color of the produced sugar and its clarity degree. We show that the temporal variations of these variables follow power-law distributions and can be well modeled by multiplicative cascade multifractal processes. These interesting properties suggest that the degradation in color and clarity degree has a system-wide cause. In particular, the cascade multifractal model suggests that the degradation in color and clarity degree can be equivalently accounted for by the initial “impurities” in the sugarcane. Hence, more effective cleaning of the sugarcane before the clarification stage may lead to substantial improvement in the effect of clarification.

Key words: time series analysis, non-poisson process, power-law distribution, multiplicative cascade multifractal processes

中图分类号: (Stochastic analysis methods)

05.10.Gg

05.30.Pr (Fractional statistics systems) 05.40.Ca (Noise) 05.45.Df (Fractals)

闭胜, 高剑波. Multifractal modeling of the production of concentrated sugar syrup crystal[J]. 中国物理B, 2016, 25(7): 70502-070502.

Sheng Bi(闭胜), Jianbo Gao(高剑波). Multifractal modeling of the production of concentrated sugar syrup crystal[J]. Chin. Phys. B, 2016, 25(7): 70502-070502.

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Multifractal modeling of the production of concentrated sugar syrup crystal

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