Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale
We investigate the relations between black hole thermodynamics and holographic transport coefficients in this paper. The formulae for DC conductivity and diffusion coefficient are verified for electrically single-charged black holes. We examine the correctness of the proposed expressions by taking c...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/915312 |
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| author | Xian-Hui Ge Hong-Qiang Leng Li Qing Fang Guo-Hong Yang |
| author_facet | Xian-Hui Ge Hong-Qiang Leng Li Qing Fang Guo-Hong Yang |
| author_sort | Xian-Hui Ge |
| collection | DOAJ |
| description | We investigate the relations between black hole thermodynamics and holographic transport coefficients in this paper. The formulae for DC conductivity and diffusion coefficient are verified for electrically single-charged black holes. We examine the correctness of the proposed expressions by taking charged dilatonic and single-charged STU black holes as two concrete examples, and compute the flows of conductivity and diffusion coefficient by solving the linear order perturbation equations. We then check the consistence by evaluating the Brown-York tensor at a finite radial position. Finally, we find that the retarded Green functions for the shear modes can be expressed easily in terms of black hole thermodynamic quantities and transport coefficients. |
| format | Article |
| id | doaj-art-8340c9e1ebe044469f21ab24781785bb |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-8340c9e1ebe044469f21ab24781785bb2025-02-03T01:09:43ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/915312915312Transport Coefficients for Holographic Hydrodynamics at Finite Energy ScaleXian-Hui Ge0Hong-Qiang Leng1Li Qing Fang2Guo-Hong Yang3Department of Physics, Shanghai University, Shanghai 200444, ChinaDepartment of Physics, Shanghai University, Shanghai 200444, ChinaDepartment of Physics, Shanghai University, Shanghai 200444, ChinaDepartment of Physics, Shanghai University, Shanghai 200444, ChinaWe investigate the relations between black hole thermodynamics and holographic transport coefficients in this paper. The formulae for DC conductivity and diffusion coefficient are verified for electrically single-charged black holes. We examine the correctness of the proposed expressions by taking charged dilatonic and single-charged STU black holes as two concrete examples, and compute the flows of conductivity and diffusion coefficient by solving the linear order perturbation equations. We then check the consistence by evaluating the Brown-York tensor at a finite radial position. Finally, we find that the retarded Green functions for the shear modes can be expressed easily in terms of black hole thermodynamic quantities and transport coefficients.http://dx.doi.org/10.1155/2014/915312 |
| spellingShingle | Xian-Hui Ge Hong-Qiang Leng Li Qing Fang Guo-Hong Yang Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale Advances in High Energy Physics |
| title | Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale |
| title_full | Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale |
| title_fullStr | Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale |
| title_full_unstemmed | Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale |
| title_short | Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale |
| title_sort | transport coefficients for holographic hydrodynamics at finite energy scale |
| url | http://dx.doi.org/10.1155/2014/915312 |
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