Thermodynamic length in a 2-D thermodynamic state space

Details Thermodynamic length in a 2-D thermodynamic state space Thermodynamic length in a 2-D thermodynamic state space

2004-02-16

arxiv.org/abs/math-ph/0402041v6

Journal of Chemical Physics, Aug. 15 2004, Vol.121, n.7,pp 2932-2936

Physics

Mathematical Physics

Accepted for publication to J.Chem.Phys

Scientific paper

10.1063/1.1774156

The main goal of this paper is to reach an explicit formulation and possible interpretation of thermodynamic length in a thermodynamic state space with two degrees of freedom. Using the energy and entropy metric in a general form, we get explicit results about thermodynamic length along isotherms, its relation with work and with speed of sound. We also look at the relation between the determinants of the energy and entropy metrics and find that they differ by a factor of $T^{4}$.

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