Liquid-Gas Coexistence Equilibrium in a Relaxation Model
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摘要: 对密闭的一维有限长管道里的等温相变，研究了松弛模型中液气共存平衡态的稳定性．使用匹配渐近展开形式上推出了一阶扰动满足的线性系统．理论分析发现，初始小扰动通常会被耗散掉，然而在一些特殊情况下，它们会维持在一定的水平上．数值计算也表明了松弛机制对相变演化具有稳定作用．Abstract: Stability of liquid-gas coexistence equilibrium in a relaxation model for isothermal phase transition in a sealed one-dimensional tube was discussed.With matched asymptotic expansion,a linear system for first order perturbations was derived formally.By solving this system analytically,it is shown that small initial perturbations are damped out in general;yet they may maintain at certain level for special cases.Numerical evidence is presented.This manifests the regularization effects of relaxation.
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Key words:
- phase transition /
- relaxation /
- matched asymptotic expansion
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