The European Physical Journal Special Topics

, Volume 226, Issue 5, pp 1001–1015

Thermodynamic origin and graphical methods of phase theory


DOI: 10.1140/epjst/e2016-60318-7

Cite this article as:
Céolin, R. & Rietveld, I.B. Eur. Phys. J. Spec. Top. (2017) 226: 1001. doi:10.1140/epjst/e2016-60318-7
Part of the following topical collections:
  1. Phase Equilibria and Their Applications


Thermodynamics is often considered difficult to understand due to extensive use of mathematics. In the present paper, a graphical approach will be used to explain the origin of phase diagrams starting from the fundamental equation of thermodynamics dU = TdsPdv defined by J.W. Gibbs. The characteristic variables of this equation are the specific entropy s and the specific volume v, which lead in a straightforward way to s-v phase diagrams. It will be demonstrated through monotonicity of the internal energy curves of the different phases of the system and graphical Legendre transformations how pressure-entropy (P-s) and temperature-volume (T-v) phase diagrams are linked to s-v phase diagrams and how the latter two phase diagrams are related to pressure-temperature (P-T) phase diagrams.

Copyright information

© EDP Sciences and Springer 2017

Authors and Affiliations

  1. 1.LETIAM, EA7357, IUT Orsay, Université Paris Sud, rue NoetzlinOrsay CedexFrance
  2. 2.Caractérisation des Matériaux Moléculaires à Activité Thérapeutique - CAMMAT, Faculté de Pharmacie, Université Paris DescartesParisFrance

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