The zeroth law in quasi-homogeneous thermodynamics and black holes
Motivated by black holes thermodynamics, we consider the zeroth law of thermodynamics for systems whose entropy is a quasi-homogeneous function of the extensive variables. We show that the generalized Gibbs–Duhem identity and the Maxwell construction for phase coexistence based on the standard zerot...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-11-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S037026931730802X |
| _version_ | 1818202502227558400 |
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| author | Alessandro Bravetti Christine Gruber Cesar S. Lopez-Monsalvo Francisco Nettel |
| author_facet | Alessandro Bravetti Christine Gruber Cesar S. Lopez-Monsalvo Francisco Nettel |
| author_sort | Alessandro Bravetti |
| collection | DOAJ |
| description | Motivated by black holes thermodynamics, we consider the zeroth law of thermodynamics for systems whose entropy is a quasi-homogeneous function of the extensive variables. We show that the generalized Gibbs–Duhem identity and the Maxwell construction for phase coexistence based on the standard zeroth law are incompatible in this case. We argue that the generalized Gibbs–Duhem identity suggests a revision of the zeroth law which in turns permits to reconsider Maxwell's construction in analogy with the standard case. The physical feasibility of our proposal is considered in the particular case of black holes. |
| first_indexed | 2024-12-12T03:10:28Z |
| format | Article |
| id | doaj.art-08642f366dc644c499c9f3f78b99b4fb |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-12T03:10:28Z |
| publishDate | 2017-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-08642f366dc644c499c9f3f78b99b4fb2022-12-22T00:40:24ZengElsevierPhysics Letters B0370-26931873-24452017-11-01774C41742410.1016/j.physletb.2017.09.089The zeroth law in quasi-homogeneous thermodynamics and black holesAlessandro Bravetti0Christine Gruber1Cesar S. Lopez-Monsalvo2Francisco Nettel3Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Ciudad Universitaria, Ciudad de México 04510, Mexico A.P. 70-543, 04510 Ciudad de México, MexicoInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, 04510 Ciudad de México, MexicoConacyt-Universidad Autónoma Metropolitana Azcapotzalco Avenida San Pablo Xalpa 180, Azcapotzalco, Reynosa Tamaulipas, 02200 Ciudad de México, MexicoInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, 04510 Ciudad de México, MexicoMotivated by black holes thermodynamics, we consider the zeroth law of thermodynamics for systems whose entropy is a quasi-homogeneous function of the extensive variables. We show that the generalized Gibbs–Duhem identity and the Maxwell construction for phase coexistence based on the standard zeroth law are incompatible in this case. We argue that the generalized Gibbs–Duhem identity suggests a revision of the zeroth law which in turns permits to reconsider Maxwell's construction in analogy with the standard case. The physical feasibility of our proposal is considered in the particular case of black holes.http://www.sciencedirect.com/science/article/pii/S037026931730802XQuasi-homogeneous thermodynamicsZeroth LawBlack hole thermodynamicsGibbs-Duhem |
| spellingShingle | Alessandro Bravetti Christine Gruber Cesar S. Lopez-Monsalvo Francisco Nettel The zeroth law in quasi-homogeneous thermodynamics and black holes Physics Letters B Quasi-homogeneous thermodynamics Zeroth Law Black hole thermodynamics Gibbs-Duhem |
| title | The zeroth law in quasi-homogeneous thermodynamics and black holes |
| title_full | The zeroth law in quasi-homogeneous thermodynamics and black holes |
| title_fullStr | The zeroth law in quasi-homogeneous thermodynamics and black holes |
| title_full_unstemmed | The zeroth law in quasi-homogeneous thermodynamics and black holes |
| title_short | The zeroth law in quasi-homogeneous thermodynamics and black holes |
| title_sort | zeroth law in quasi homogeneous thermodynamics and black holes |
| topic | Quasi-homogeneous thermodynamics Zeroth Law Black hole thermodynamics Gibbs-Duhem |
| url | http://www.sciencedirect.com/science/article/pii/S037026931730802X |
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