中国物理B ›› 2023, Vol. 32 ›› Issue (7): 70503-070503.doi: 10.1088/1674-1056/acc0f9
Turing/Turing-like patterns: Products of random aggregation of spatial components
Jian Gao(高见)1,2,†, Xin Wang(王欣)1,2, Xinshuang Liu(刘心爽)1,2, and Chuansheng Shen(申传胜)1,2
- 1 International Joint Research Center of Simulation and Control for Population Ecology of Yangtze River in Anhui, Anqing Normal University, Anqing 246011, China;
2 School of Mathematics and Physics, Anqing Normal University, Anqing 246011, China
Turing/Turing-like patterns: Products of random aggregation of spatial components
Jian Gao(高见)1,2,†, Xin Wang(王欣)1,2, Xinshuang Liu(刘心爽)1,2, and Chuansheng Shen(申传胜)1,2
- 1 International Joint Research Center of Simulation and Control for Population Ecology of Yangtze River in Anhui, Anqing Normal University, Anqing 246011, China;
2 School of Mathematics and Physics, Anqing Normal University, Anqing 246011, China
摘要： Turing patterns are typical spatiotemporal ordered structures in various systems driven far from thermodynamic equilibrium. Turing's reaction-diffusion theory, containing a long-range inhibiting agent and a local catalytic agent, has provided an explanation for the formation of some patterns in nature. Numerical, experimental and theoretical studies about Turing/Turing-like patterns have been generally focused on systems driven far from thermodynamic equilibrium. The local dynamics of these systems are commonly very complex, which brings great difficulties to understanding of formation of patterns. Here, we investigate a type of Turing-like patterns in a near-equilibrium thermodynamic system experimentally and theoretically, and put forward a new formation mechanism and a quantitative method for Turing/Turing-like patterns. Specifically, we observe a type of Turing-like patterns in starch solutions, and study the effect of concentration on the structure of patterns. The experimental results show that, with the increase of concentration, patterns change from spots to inverse spots, and labyrinthine stripe patterns appear in the region of intermediate concentration. We analyze and model the formation mechanism of these patterns observed in experiments, and the simulation results agree with the experimental results. Our conclusion indicates that the random aggregation of spatial components leads to formation of these patterns, and the proportion of spatial components determines the structures. Our findings shed light on the formation mechanism for Turing/Turing-like patterns.
中图分类号: (Synchronization; coupled oscillators)
- 05.45.Xt