Infinite compressibility states in the hierarchical reference theory of fluids. I: Analytical considerations (Q2487788)
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| English | Infinite compressibility states in the hierarchical reference theory of fluids. I: Analytical considerations |
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Infinite compressibility states in the hierarchical reference theory of fluids. I: Analytical considerations (English)
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8 August 2005
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The Hierarchical Reference Theory (HRT) has been proposed as a unified approach to various models of fluid structure and thermodynamics. The purpose of the present paper is to get more insight in the solutions provided by HRT for thermodynamic states of diverging compressibility (at critical point and at phase coexistence). One analyzes the analytical properties of the PDE which describe the phenomenon in the presence of singular limit of the isothermal compressibility. It is shown that there are three classes of asymptotic solutions compatible with infinite isothermal compressibility.
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liquid-vapor transitions
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nonlinear partial differential equations
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numerical analysis
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finite differences
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stiffness
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0.9830571
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0.8568437
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0.8447033
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0.8440358
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0.8438159
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