Thermodynamics of third order phase transition:A solution to the Euler–Lagrange equations

E.C. Ekuma; G.C. Asomba; C.M.I. Okoye

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Thermodynamics of third order phase transition:A solution to the Euler–Lagrange equations

机译：三阶相变的热力学：欧拉-拉格朗日方程的解

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The thermodynamics expected of systems undergoing third order phase transition has been investigated by identifying the orders through the analytic continuation of the functional of the free energy, using Ehrenfest thermodynamic theory. We developed the Euler–Lagrange equations for the order parameter and the vector potential and solved them for the first time using well-known mathematical formulations.

机译：通过使用埃伦菲斯特热力学理论，通过对自由能的分析连续性来确定阶次，从而研究了经历三阶相变的系统的热力学预期。我们为阶数参数和矢量势开发了Euler-Lagrange方程，并首次使用众所周知的数学公式求解了它们。

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《Physica, B. Condensed Matter》 |2010年第9期|共4页
作者
E.C. Ekuma; G.C. Asomba; C.M.I. Okoye;
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正文语种 eng
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关键词
Phase transition; Ehrenfest thermodynamics; Free energy; Euler–Lagrange equations; Ginzburg–Landau theory;

机译：相变;埃伦费斯特热力学;自由能;Euler-Lagrange方程;Ginzburg-Landau理论;

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专利

1. Thermodynamics of third order phase transition:A solution to the Euler–Lagrange equations [J] . E.C. Ekuma, G.C. Asomba, C.M.I. Okoye Physica, B. Condensed Matter . 2010,第9期

机译：三阶相变的热力学：欧拉-拉格朗日方程的解
2. Exact solutions to the riemann problem for compressible isothermal euler equations for two-phase flows with and without phase transition [J] . Hantke M., Dreyer W., Warnecke G. Quarterly of Applied Mathematics . 2013,第3期

机译：具有和不具有相变的两相流可压缩等温欧拉方程的riemann问题的精确解
3. Singular and selfsimilar solutions for Euler equations with phase transitions [J] . Thein Ferdinand, Hantke Maren Bulletin of the Brazilian Mathematical Society . 2016,第2期

机译：具有相变的Euler方程的奇异和自相似解
4. NUMERICAL SOLUTIONS TO THE RIEMANN PROBLEM FOR COMPRESSIBLE ISOTHERMAL EULER EQUATIONS FOR TWO PHASE FLOWS WITH AND WITHOUT PHASE TRANSITION [C] . MAREN HANTKE, FERDINAND THEIN International Conference on Hyperbolic Problems . 2014

机译：两相流量的可压缩等温欧拉方程对riemann问题的数值解
5. Generalized powertrain modeling using Euler-Lagrange equations. [D] . Freeman, Jeffrey Scott. 1992

机译：使用Euler-Lagrange方程的广义动力总成建模。
6. On the Impossibility of First-Order Phase Transitions in Systems Modeled by the Full Euler Equations [O] . Maren Hantke, Ferdinand Thein 2019

机译：关于完整欧拉方程模型的一阶阶段转换的不可能性
7. 1 Thermodynamics of Third Order Phase Transition: A Solution to the Euler – Lagrange Equations 1 [O] . E C Ekuma, G C Asomba, C M I Okoye 2016

机译：1三阶相变的热力学：欧拉 - 拉格朗日方程的一个解法1

Thermodynamics of third order phase transition:A solution to the Euler–Lagrange equations

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