Relationship Between Stability and Topological Properties of Two-dimensional Foam

研究了二维泡沫形成、进化及其拓扑学性质随时间的变化关系以及影响其稳定性的因素 .探索了二维泡沫初始有序化的气泡进化和完全无序化的气泡进化的两种过程 ,并分析在无序化气泡的进化过程中 ,平均气泡面积随时间的变化呈现出α=1 .5的幂指数关系 ,以及该指数大于 Von Neumann定律的时间指数的可能原因 .讨论了气泡的边数分布及其二阶矩An experimental study of the evolution of two dimensional foam is presented. The topological properties of two dimensional foam as a function of the evolution time were investigated, and the relationship between the topological properties and stability of two dimensional foam was discussed. In the evolution of two dimensional foam, two distinct states were observed: a transient state characterized by the presence of ordered state and a long term fully disordered state. The long term behavior of the foam shows that the average bubble area increases as a power law with exponent a =1.5, which is deviated from Von Neumann law and the possible reasons discussed. In addition, the distribution of sides of bubbles and the second moment of the distribution of number of sides are also discussed.国家自然科学基金 (批准号 :2 99730 33