| Thom系统标度性的证明 |
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| 引用本文： | 刘建民,龚昌德.Thom系统标度性的证明[J].物理学报,1982,31(9):1278-1284. |
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| 作者姓名： | 刘建民 龚昌德 |
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| 作者单位： | 南京大学物理系 |
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| 摘 要： | 本文应用突变论(catastrophe theory)证得了Thom系统自由能函数族的普适的临界渐近形式,并从它推导了临界指数公式,标度律和标度假设。
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| 收稿时间： | 1982-02-25 |
A JUSTIFICATION FOR THE SCALING OF THE THOM-SYSTEM |
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| LIU JIAN-MIN and GONG CHANG-DE.A JUSTIFICATION FOR THE SCALING OF THE THOM-SYSTEM[J].Acta Physica Sinica,1982,31(9):1278-1284. |
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| Authors: | LIU JIAN-MIN and GONG CHANG-DE |
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| Abstract: | In the present paper, we discuss the critical behavior of Thom-system using Catastrophe Theory. The universal critical asymptotic form of the family of free energy functions for Thom-system with one order parameter and two field parameters is obtained. The expressions of critical exponents, the scaling laws, the scaling hypotheses, all are derived from this universal asymptotic form. |
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