A New Graph Language for Representing the Macroscopic Formalism in Physicochemistry and Physics
Eric Vieil · ECS Transactions · 2006
A new way for representing algebraic equations used in macroscopic physics and physico-chemistry is proposed. Based on oriented graph built in accordance with the properties of energy in a system, it uses state variables as nodes and constitutive system properties as connections, together with space-time properties. The ordering introduced by topology reveals common structures between mechanics, electrodynamics, physico-chemistry and all domains in which energy is quantified. Among numerous interesting consequences, two new concepts, energetic path and energetic mode, shed interesting physical meaning on transfer processes: The energetic path conveys the nature, conserved and/or dissipated, of transferred energy in a process. The energetic mode depicts the proportion of conserved vs. dissipated energy. Semi- infinite transient diffusion appears as an equilibrated process conserving fifty percent and dissipating the other part of its energy, while fractal or anomalous diffusion, identified with a fractional exponent, can be seen as conserving the energy in the proportion given by this exponent.