摘要
在非平衡相变的临界点邻域内也存在着标度性,即广义齐次函数形式的标度假设也适应于非平衡相变的临界现象。本文在一般非平衡相变系统的规格化模型基础上,考察了在非平衡相变临界点无限小邻域内相关函数和广义势的可标度性,论证了它们都是参自变量的广义齐次函数,即在标度变换下它们的变化形式恰好与标度假设的理论思想和数学表述相符合。在一定程度上证实了非平衡临界的可标度性,并断言了非平衡临界标度的存在。
There are also scaling qualities in the critical point vicinity of nonequilibrium phase transform. It is that the scaling hypothesis in generalized homogeneous function still hold for the critical phenmena of nonequilibrium phase transform. In this paper, on the basis of the standardized model of the general nonequilibrium phase transform systems, we studied the scaleabilities of the correlation function and the generalized potential in the infinitesimal neighborhood of nonequilibrium critical point, and proved that they are all generalized homogeneous function of parameter and independent variable. It showed that the change of their function, under the scale transformation, just conforms with the theoretical idealogy and the mathematical expression of the scaling hypothesis. The scaleabilities of noneguibrium critical phenomena are verified to a certain extent. We conclude that the scaling law of nonequilibrium critical system is existent.
出处
《贵州科学》
1990年第3期33-42,共10页
Guizhou Science
