Pierre Curie: "Dissymmetry is what creates the phenomenon"
In physics, there remains a long-standing challenge that has yet to be fundamentally resolved — that is, to explain the mechanism behind the onset of turbulence and to provide an accurate description of turbulent states
In the context of flow instability, the maximum macroscopic velocity \( v \) is the order parameter, which describes the degree of spatial translational symmetry breaking. In contrast, for equilibrium phase transitions, control parameters such as temperature play a similar role as the Reynolds number does here. The change of the order parameter with the control parameter is given by \( v \propto (R - R_c)^{\beta} \) , where \( \beta \) is the critical exponent of the order parameter
Inverse Phase Transitions→ Iterative result of \( x_{n+1} = \lambda x_n (1 - x_n) \)
1 Lu Yu, Bolin Hao & Xiaosong Chen. 2016. The Miracle at the Edge: Phase Transitions and Critical Phenomena.
2 Л. Д. Laudau. 1944. On the Problem of Turbulence.