非平衡相变

本文以激光器为例，说明采用突变论（catastrophetheory）中不完全分岔理论求解非平衡相变问题的具体步骤。

The method of applying catastrophe theory to solve the nonequilibrium phase transition problems is explained via a concrete example , viz the laser system in quantum , optics .

非平衡相变的临界标度理论及普适性

Critical scaling theory of nonequilibrium phase transition and its universality

非线性RLC电路的多定态和非平衡相变的研究

The experimental study of the multi-stable States and the phase change in nonlinear RLC series circuit

调制BZ-CSTR反应体系小振荡诱导非平衡相变

Modulation Induced Nonlinear Phase Transitions of Small Amplitude Oscillation in CSTR-BZ Reaction

对方程做了线性稳定性分析及非线性定态分支情况的讨论，得出了用以讨论体系非平衡相变的广义Ginzberg-Landau方程并进行了相变类型的讨论，特别是对Sn膜进行了有关的数值计算。

We have discussed the linear stability and the nonlinear steady bifurcation , obtaining a general Ginzberg-Landau equation for the study of the nonequilibrium transition of the system . Numerical calculations on Sn films have been made .

本文将李&杨平衡相变理论推广于研究沙粒分离的urn模型非平衡相变和一维横场各向异性XY模型量子相变。

The Yang-Lee theory of equilibrium phase transitions is generalized to study the non-equilibrium phase transitions of an urn model for the separation of sand and the quantum phase transitions of one-dimensional anisotropic XY quantum spin chain in a transverse field .

采用微分方程的李群方法，研究了外噪声影响下的非平衡相变模型对应的FokkerPlanck（FP）方程，得出了含时间概率密度P（x，t）的严格表达式；

Some models describing first or second order nonequilibrium phase transition under exteral Gaussian white noise are studied . The exact time-dependent solution of the probability density of the relevant Fokker-Planck equation , P ( x , t ), is obtained by using a method of Lie group .

实验结果表明，氮使Fe-C-Si和Fe-C-Si-Mn灰铸铁平衡和非平衡相变温度降低，使相变过冷度增大，并使共晶转变和共析转变的温度区间增大。

The results demonstrated that as the nitrogen content increased , the equilibrium and non-equilibrium phase transformation temperature decreased , the phase transformation undercooling increased , and the temperature ranges of eutectic and eutectoid transformation increased .

非平衡相变系统的临界参考态及规格化处理方案

Standardized Treating Method and Critical Reference State of Nonequilibrium Phase Transition Systems

非平衡相变系统相关函数的临界奇异性

Critical Singularity of Correlation Function in Nonequilibrium Phase Transition Systems

自组织最重要的特殊情况是非平衡相变。

The most important particular case of self-organization is non-equilibrium phase transition .

非平衡相变与热带气旋的运动

Non Equilibrium Phase Transition and Movement of the Tropical Cyclone

用细胞自动机方法构造非平衡相变模型

Constitution of the model of nonequilibrium phase transition by the cellular automata approach

非平衡相变临界指数及普适性

Critical Exponent and Universal Category of Nonequilibrium Phase Transform

双球近似和速度空间的非平衡相变微型环流器实验

Two-sphere approximation and non-equilibrium phase transition in velocity space

关于量子光学中的非平衡相变问题

On Nonequilibrium Phase Transition Problem in Quantum Optics

通常研究非平衡相变的方法是平均场方法。

The mean field method is the main method to study the non-equilibrium phase transition .

流体非平衡相变强化传热的场协同分析

Analysis of fields synergism in non-linear enhanced transfer processes of fluid phase change of non-equilibrium

非平衡相变的临界耗散行为

Critical Dissipative Behaviour of Nonequilibrium Phase Transformation

文化传播模型中的非平衡相变

Non-equilibrium Phase Transition in Cultural Communication Model

李杨理论在非平衡相变中的研究

The Lee-Yang Theory for Nonequilibrium Phase Transitions

非平衡相变中的熵

Entropy in nonequilibrium phase transition

同时对类平均场近似方法进行了讨论，并将其预言与非平衡相变模型的精确的数值结果进行了比较。

A mean-field-like approximation is discussed and its predictions are compared with the exact numerical results for the model .

这种分类法对于平衡与非平衡相变的研究，均有其参考价值。

This classification is useful to the study of critical phenomena , especially in non-equilibrium systems including the multi-stable systems .

研究随机力对非平衡相变的影响，特别是研究由噪声诱导的非平衡相变现象，是非线性系统随机理论的一个重要课题。

The influence of stochastic force on non-equilibrium phase transition , especially the noise-induced phase transition is an important topic .

本文就是在平衡相变的基础上引出了非平衡相变，并介绍了通常的处理相变和临界现象的方法。

This article educes the non - equilibrium phase transition based on equilibrium phase transition and introduces the general methods for dealing with phase transitions and critical phenomena .

简要回顾了机械合金化（MA）技术发展的概况，简述了MA在合金中引起的结构演变和非平衡相变的基本过程和机制。

The development of mechanical alloying ( MA ) technology is reviewed and the basic process and mechanism of structure evolution and phase transformation induced by mechanical alloying are outlined .

然后，应用区域水资源配置系统演化机理理论，系统地研究了天津市水资源配置系统的四次非平衡相变过程，通过实例研究证明了该理论的正确性。

Applied the natural selection mechanism of regional water distribution system the four non-equilibrium phase transitions of Tianjin water distribution system were studied . By the case the mechanism was proved .

指出了在讨论非平衡相变过程中熵变化问题上哈肯论文的不足，并且提出了改进的意见。

It is pointed out the deficiency in Haken 's paper in which he discussed the change of entropy in the process of nonequilibrium phase transition , and an improved suggestion is made .

在这类体系中有可能会发生不同定态间的突然跃迁（非平衡相变），这种跃迁现象无疑对于像化工过程等工业过程的安全问题和稳定性问题是极为重要的。

In this kind of system , different steady-states might jump from one to the other ( nonequilibrium phase transition ), and it is related to the stability theory and security of chemical industry .