Geometrothermodynamics as a singular conformal thermodynamic geometry

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 geo...

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Main Authors: Seyed Ali Hosseini Mansoori, Behrouz Mirza
Format: Article
Language:English
Published: Elsevier 2019-12-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319307622
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author Seyed Ali Hosseini Mansoori
Behrouz Mirza
author_facet Seyed Ali Hosseini Mansoori
Behrouz Mirza
author_sort Seyed Ali Hosseini Mansoori
collection DOAJ
description 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.
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spelling doaj.art-9956d437decb4f5d9f4529b5bd72458c2022-12-21T20:33:36ZengElsevierPhysics Letters B0370-26932019-12-01799Geometrothermodynamics as a singular conformal thermodynamic geometrySeyed Ali Hosseini Mansoori0Behrouz Mirza1Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161, Shahrood, IranDepartment of Physics, Isfahan University of Technology, Isfahan 84156-83111, IranIn 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.http://www.sciencedirect.com/science/article/pii/S0370269319307622
spellingShingle Seyed Ali Hosseini Mansoori
Behrouz Mirza
Geometrothermodynamics as a singular conformal thermodynamic geometry
Physics Letters B
title Geometrothermodynamics as a singular conformal thermodynamic geometry
title_full Geometrothermodynamics as a singular conformal thermodynamic geometry
title_fullStr Geometrothermodynamics as a singular conformal thermodynamic geometry
title_full_unstemmed Geometrothermodynamics as a singular conformal thermodynamic geometry
title_short Geometrothermodynamics as a singular conformal thermodynamic geometry
title_sort geometrothermodynamics as a singular conformal thermodynamic geometry
url http://www.sciencedirect.com/science/article/pii/S0370269319307622
work_keys_str_mv AT seyedalihosseinimansoori geometrothermodynamicsasasingularconformalthermodynamicgeometry
AT behrouzmirza geometrothermodynamicsasasingularconformalthermodynamicgeometry