Thermomechanical Analogy

  • Alexander Umantsev
Part of the Lecture Notes in Physics book series (LNP, volume 840)


A profound physical analogy can be established between the thermodynamic system undergoing a phase transition and a classical-mechanical point mass moving in a potential field. According to this analogy, the spatial coordinate, x, of a 1d thermodynamic system is analogous \( (\dot{ = }) \) to the time, t, of the mechanical system; OP η is analogous to the generalized coordinate of the particle; gradient free energy coefficient is analogous to the generalized mass of the particle. In the framework of this analogy, the negative of the homogeneous density of the Gibbs–Landau free energy (−g) is analogous to the mechanical potential function U
$$ U\dot{ = } - g(\eta ), $$


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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Alexander Umantsev
    • 1
  1. 1.Department of Chemistry and PhysicsFayetteville State UniversityFayettevilleUSA

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