Thermodynamic transport equations derived from first principles

Le résumé fourni par la source

Practical analysis of complex systems currently relies on empirical transport laws because diffusion cannot be described by state functions alone, as assumed in Classical Thermodynamics and Statistical Mechanics. Lagrange mechanics emerge when diffusion is negligible; diffusion does not emerge in many-body Lagrange theory. I derive comprehensive transport equations directly from quantum mechanical principles by tallying particle motion individually, providing a concrete, seamless foundation for all applied physical science. This new approach resolves, without entropy or axiom, several critical issues that originally inspired the standard theories, and clarifies analysis of processes in mesoscopic and macroscopic systems.

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