Liquid-gas coexistence equilibrium in a relaxation model |
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Authors: | Wang Ping Tang Shao-qiang |
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Affiliation: | State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P.R.China;;LTCS, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P.R.China |
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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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Keywords: | phase transition relaxation matched asymptotic expansion |
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