Thermodynamics of Third Order Phase Transition: A Solution to the Euler-Lagrange Equations

Details Thermodynamics of Third Order Phase Transition: A Solution to the Euler-Lagrange Equations Thermodynamics of Third Order Phase Transition: A Solution to the Euler-Lagrange Equations

2010-11-11

arxiv.org/abs/1011.2792v1

Physica B: Condensed Matter, Volume 405, Issue 9, 1 May 2010, Pages 2290-2293

Physics

Condensed Matter

Materials Science

14 Pages

Scientific paper

10.1016/j.physb.2010.02.029

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.

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