Thermodynamic Field Theory with the Iso-Entropic Formalism

Abstract

A new formulation of the thermodynamic field theory (TFT) is presented. In this new version, one of the basic restriction in the old theory, namely a closed-form solution for the thermodynamic field strength, has been removed. In addition, the general covariance principle is replaced by Prigogine's thermodynamic covariance principle (TCP). The introduction of TCP required the application of an appropriate mathematical formalism, which has been referred to as the iso-entropic formalism. The validity of the Glansdorff-Prigogine Universal Criterion of Evolution, via geometrical arguments, is proven. A new set of thermodynamic field equations, able to determine the nonlinear corrections to the linear ("Onsager") transport coefficients, is also derived. The geometry of the thermodynamic space is non-Riemannian tending to be Riemannian for hight values of the entropy production. In this limit, we obtain again the same thermodynamic field equations found by the old theory. Applications of the theory, such as transport in magnetically confined plasmas, materials submitted to temperature and electric potential gradients or to unimolecular triangular chemical reactions can be found at references cited herein.

35 pages

References in corpus (2)

• Nonlinear Transport Processes in Tokamak Plasmas. Part I: The Collisional Regimes
• Geometrical Thermodynamic Field Theory

Cited by in corpus (13)

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• Thermodynamic Flux-Force Closure Relations for Systems out of the Onsager Region
• Relaxation of Magnetically Confined Tokamak-Plasmas to Mechanical Equilibria
• Derivation of Reference Distribution Functions for Tokamak-plasmas by Statistical Thermodynamics
• Turbulent Transport in Tokamak-plasmas: A Thermodynamic Approach
• Stationary distribution functions for Tokamak-plasmas in the weak-collisional transport regime by MaxEnt principle
• Reference Distribution Functions for Magnetically Confined Plasmas from the Minimum Entropy Production Theorem and the MaxEnt Principle, subject to the Scale-Invariant Restrictions
• New Class of Generalized Extensive Entropies for Studying Dynamical Systems in Highly Anisotropic Phase Space