水利学报2012,Vol.43Issue(8):948-956,9.
基于最小熵产生与耗散结构和混沌理论的河床演变分析
Analysis of river bed changes based on the theories of minimum entropy production dissipative structure and chaos
摘要
Abstract
This paper expounds the basic principle and research method of the theories of minimum entropy production, dissipative structure and chaos, and introduces how to apply the theories and methods to analyze the river bed changes process. It considers that there are only two states for rivers including the near balance state and far from balance state. Rivers bed changes follow the principle of minimum entropy production or principle of the minimum rate of energy dissipation when it is near the balance state and its variation process tends to the relative balance state adapted to external conditions, and in which the entropy production or the rate of energy dissipation of water is minimum. Rivers will leave the primary relative balance state, and seek relative balance state adapted to new constraint conditions after the constraint conditions on the river change. In this adjustment process, the entropy production or the rate of energy dissipation is not drably decreased, but sometimes increased and sometimes decreased, until the new state of rela- tive balance whose entropy production or the rate of energy dissipation is the minimum adapted to the new constraint conditions. The river bed changes process can undergo mutation, causing the change of river patterns when it is far from the balance state. The change of river patterns is a mutation when it surpasses a certain critical value in the transformation process of gradual change of external conditions which is equivalent to the non-equilibrium phase transition of thermodynamics, so that it can be explained by the theories of dissipative structure and chaos.关键词
近平衡态/远离平衡态/最小熵产生原理/最小能耗率原理/耗散结构理论/混沌/河床演变/河型转化Key words
near the balance state/far from the balance state/principle of minimum entropy production/principle of the minimum rate of energy dissipation/the theory of dissipative structure/chaos/river bed changes/change of river patterns分类
建筑与水利引用本文复制引用
徐国宾,杨志达..基于最小熵产生与耗散结构和混沌理论的河床演变分析[J].水利学报,2012,43(8):948-956,9.基金项目
国家自然科学基金资助项目 ()
国家自然科学基金创新研究群体科学资助项目 ()