| 非平衡系统Master方程的稳定性 |
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| 引用本文： | 李占柄,严士健,刘若庄.非平衡系统Master方程的稳定性[J].物理学报,1981,30(4):448-458. |
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| 作者姓名： | 李占柄 严士健 刘若庄 |
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| 作者单位： | (1)北京师范大学化学系,北京师范大学量子力学小组; (2)北京师范大学数学系; (3)北京师范大学数学系,北京师范大学量子力学小组 |
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| 摘 要： | 针对非平衡统计中出现的多元线性Master方程,利用“熵产生”和“剩余熵产生”的概念讨论了Master方程在线性平衡区和非线性远离平衡区的稳定性问题。从而得到与Prigo-gine宏观热力学理论中一致的结果。此外还提出了Master方程所决定的“概率流”的概念,给出了概率流分解的具体解析表达式。
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| 收稿时间： | 1980-05-24 |
ON THE STABILITY OF THE MULTIVARIABLE MASTER EQUATION FOR NON-EQUILIBRIUM SYSTEMS |
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| LI ZHAN-BING,YAN SHI-JIAN and LIU RUO-ZHUANG.ON THE STABILITY OF THE MULTIVARIABLE MASTER EQUATION FOR NON-EQUILIBRIUM SYSTEMS[J].Acta Physica Sinica,1981,30(4):448-458. |
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| Authors: | LI ZHAN-BING YAN SHI-JIAN and LIU RUO-ZHUANG |
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| Abstract: | In this paper, by using the concepts " entropy production" and "excess entropy production", the Lyaponov stability of the master equation in linear and nonlinear range has been discussed. The results obtained are consistent with the stability theory of the time evolution equation of macroscopic non-equilibrium systems discussed by I. Prigo-gine. In addition, the concept of "probability flow" is proposed for the multivariable master equation of the stochastic model of non-equilibrium systems, and the method of decomposition of "probability flow" is given. |
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