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Geometrothermodynamics as a singular conformal thermodynamic geometry

Seyed Ali Hosseini Mansoori, Behrouz Mirza

Physics Letters B · 2019

doi:10.1016/j.physletb.2019.135040 (opens in a new tab)

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Abstract

In this letter, we first redefine our formalism of the thermodynamic geometry introduced in [1,2] by changing coordinates of the thermodynamic space by means of Jacobian matrices. We then show that the geometrothermodynamics (GTD) is conformally related to this new formalism of the thermodynamic geometry. This conformal transformation is singular at unphysical points were generated in GTD metric. Therefore, working with our metric neatly excludes all unphysical points without imposing any constraints.

Abstract licence: CC BY

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