论文期刊

作者: Zhou Zhuo, Jiu Hui Wu, Xiao Liang, Xiaoyang Yuan, Mei Lin and Fuyin Ma |

发表/完成日期: 2019-07-10 |

期刊名称: International Journal of Modern Physics B |

期卷: Vol.33, No.22, 2019 |

相关文章: Zhou Zhuo_A quantitative nonequilibrium phase transition theory for analyzing the turbulence development process.pdf |

论文简介 |

In this paper, a quantitative nonequilibrium multi-dimensional phase transition theory
is proposed for describing the turbulence spectrum (energy E with wave number k and scaling index α) of the turbulence development process by a fold catastrophe model. Each of the control variables in this catastrophe model is subtly expressed into a relative multi-parameter multiplication, and then the state variable can be quantitatively described by these parameters. By using this nonequilibrium phase transition theory, the quantitative relationship in the process of turbulence formation can be strictly derived through dimensionless analysis. Therefore, the turbulence development process can be described with respect to a scaling index α, in which there exists an energy containing range with −1.12 power law (E / k−1.12) when α varies from −2 to −1.2, and an inertial subrange with −1.69 power law (E / k−1.69) that is almost identical with the famous Kolmogorov’s −5/3 power law when α varies from −1.2 to −0.8, and then the dissipation range with −2.52 power law (E / k−2.52) when α varies from −0.8 to 0. Furthermore, this quantitative nonequilibrium phase transition theory has been verified by the corresponding theoretical comparison and experiment. This theory provides not only a new understanding of turbulence, but also a new perspective for other complex nonequilibrium phase transitions. |