Fluctuation and dissipation within a deformed holographic model with backreaction
In this work we study the fluctuation and dissipation of a string attached to a brane in a deformed and backreacted AdS-Schwarzschild spacetime. This space is a solution of Einstein-dilaton equations and contains a conformal exponential factor exp(k/r2) in the metric. We consider the backreaction c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-04-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269321000800 |
| _version_ | 1818733956524146688 |
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| author | Nathan G. Caldeira Eduardo Folco Capossoli Carlos A.D. Zarro Henrique Boschi-Filho |
| author_facet | Nathan G. Caldeira Eduardo Folco Capossoli Carlos A.D. Zarro Henrique Boschi-Filho |
| author_sort | Nathan G. Caldeira |
| collection | DOAJ |
| description | In this work we study the fluctuation and dissipation of a string attached to a brane in a deformed and backreacted AdS-Schwarzschild spacetime. This space is a solution of Einstein-dilaton equations and contains a conformal exponential factor exp(k/r2) in the metric. We consider the backreaction contributions coming only from the exponential warp factor on the AdS-Schwarzschild black hole, where the string and brane are in the probe approximation. Within this Lorentz invariant holographic model we have computed the admittance, the diffusion coefficient, the two-point functions and the regularized mean square displacement sreg2. From this quantity we obtain the diffuse and ballistic regimes characteristic of the Brownian motion. From the two-point functions and the admittance, we also have checked the well know fluctuation-dissipation theorem in this set up. |
| first_indexed | 2024-12-17T23:57:42Z |
| format | Article |
| id | doaj.art-5a9c716d30254786aff0bd0aa1ff356c |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-17T23:57:42Z |
| publishDate | 2021-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-5a9c716d30254786aff0bd0aa1ff356c2022-12-21T21:28:01ZengElsevierPhysics Letters B0370-26932021-04-01815136140Fluctuation and dissipation within a deformed holographic model with backreactionNathan G. Caldeira0Eduardo Folco Capossoli1Carlos A.D. Zarro2Henrique Boschi-Filho3Instituto de Física, Universidade Federal do Rio de Janeiro, 21.941-972 - Rio de Janeiro, RJ, BrazilInstituto de Física, Universidade Federal do Rio de Janeiro, 21.941-972 - Rio de Janeiro, RJ, Brazil; Departamento de Física and Mestrado Profissional em Práticas de Educação Básica (MPPEB), Colégio Pedro II, 20.921-903 - Rio de Janeiro, RJ, Brazil; Corresponding author.Instituto de Física, Universidade Federal do Rio de Janeiro, 21.941-972 - Rio de Janeiro, RJ, BrazilInstituto de Física, Universidade Federal do Rio de Janeiro, 21.941-972 - Rio de Janeiro, RJ, BrazilIn this work we study the fluctuation and dissipation of a string attached to a brane in a deformed and backreacted AdS-Schwarzschild spacetime. This space is a solution of Einstein-dilaton equations and contains a conformal exponential factor exp(k/r2) in the metric. We consider the backreaction contributions coming only from the exponential warp factor on the AdS-Schwarzschild black hole, where the string and brane are in the probe approximation. Within this Lorentz invariant holographic model we have computed the admittance, the diffusion coefficient, the two-point functions and the regularized mean square displacement sreg2. From this quantity we obtain the diffuse and ballistic regimes characteristic of the Brownian motion. From the two-point functions and the admittance, we also have checked the well know fluctuation-dissipation theorem in this set up.http://www.sciencedirect.com/science/article/pii/S0370269321000800 |
| spellingShingle | Nathan G. Caldeira Eduardo Folco Capossoli Carlos A.D. Zarro Henrique Boschi-Filho Fluctuation and dissipation within a deformed holographic model with backreaction Physics Letters B |
| title | Fluctuation and dissipation within a deformed holographic model with backreaction |
| title_full | Fluctuation and dissipation within a deformed holographic model with backreaction |
| title_fullStr | Fluctuation and dissipation within a deformed holographic model with backreaction |
| title_full_unstemmed | Fluctuation and dissipation within a deformed holographic model with backreaction |
| title_short | Fluctuation and dissipation within a deformed holographic model with backreaction |
| title_sort | fluctuation and dissipation within a deformed holographic model with backreaction |
| url | http://www.sciencedirect.com/science/article/pii/S0370269321000800 |
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