论文期刊

A quantitative nonequilibrium phase transition theory for analyzing the turbulence development process




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.