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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Elsevier
2019-12-01
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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. |
first_indexed | 2024-12-19T05:51:37Z |
format | Article |
id | doaj.art-9956d437decb4f5d9f4529b5bd72458c |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-12-19T05:51:37Z |
publishDate | 2019-12-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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 |