关键词: 铜循环, 铜流图, 熵, 节点, 相对熵

Abstract: To ascertain the levels of aggregation and dissipation of cupric materials in copper cycle, the index of entropy in thermodynamics is introduced into material flow analysis to give the distribution and calculating method of entropy. The variation of entropy in the whole copper cycle is calculated involving 4 phases, i.e., copper refining, products processing/manufacturing, utilization of products and recycling of abandoned products, based on the analysis of copper cycle in China in 2002. The values of relative entropy at the five respective nodes in the copper cycle are 0.32149, 0.06337, 0.23946, 0.59919 and 0.50786. The rate of change of relative entropy in the whole process is 57.97% which means that the cupric materials tend to serious dissipation. Some measures are suggested to take to decrease the loss rates of different links in the whole copper cycle, including are mining, dressing, smelting and tailing/slag disposed, so as to improve the recycling rate of abandoned copper products and lower effectively the increment of entropy in copper cycle.