A New Mnemonic Scheme to Derive Thermodynamics Equations and Maxwell Relations Based on Butterfly Symmetry Approach

Abstract

In this study, a new mnemonic scheme is proposed for a simple closed system to derive equations in classical thermodynamics potentials that connect the state variables and Maxwell relations based on the butterfly symmetry approach. The proposed method does not have the difficulties in the arrangement and sign of parameters which were found in the geometric diagrams such as square, cub octahedron, concentric multi-circle, Venn diagram, and Natarajan’s thermodynamics circles. The suggested method resolves the identical elements and Maxwell's formulas in thermodynamics and energy, enthalpy, Helmholtz and Gibbs equations by creating a matrix through the butterfly symmetry strategy. The most important feature of this method is that the differential and partial derivatives of thermodynamic parameters are formed in matrix arrays. The signs are applied only according to the butterfly symmetry, and unlike the Max Born method, there is no need to pay attention to the direction of arrows.

Keywords

• Mnemonic scheme
• Thermodynamics equations
• Maxwell relations
• Butterfly symmetry
• simple novel method

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