On the geometrical thermodynamics of chemical reactions

Details On the geometrical thermodynamics of chemical reactions On the geometrical thermodynamics of chemical reactions

2005-07-08

arxiv.org/abs/math-ph/0507026v1

Physics

Mathematical Physics

47 pages, 10 figures, 2 tables

Scientific paper

The formal structure of geometrical thermodynamics is reviewed with particular emphasis on the geometry of equilibria submanifolds. On these submanifolds thermodynamic metrics are defined as the Hessian of thermodynamic potentials. Links between geometry and thermodynamics are explored for single and multiple component, closed and open systems. For multi-component closed and open systems the Gibbs free energy is employed as the thermodynamic potential to investigate the connection between geometry and thermodynamics. The Gibbs free energy is chosen for the analysis of multicomponent systems and, in particular, chemical reactions.

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