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...
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doaj-5a9c716d30254786aff0bd0aa1ff356c2021-03-22T12:35:23ZengElsevierPhysics 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 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nathan G. Caldeira Eduardo Folco Capossoli Carlos A.D. Zarro Henrique Boschi-Filho |
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 |
author_facet |
Nathan G. Caldeira Eduardo Folco Capossoli Carlos A.D. Zarro Henrique Boschi-Filho |
author_sort |
Nathan G. Caldeira |
title |
Fluctuation and dissipation within a deformed holographic model with backreaction |
title_short |
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_sort |
fluctuation and dissipation within a deformed holographic model with backreaction |
publisher |
Elsevier |
series |
Physics Letters B |
issn |
0370-2693 |
publishDate |
2021-04-01 |
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. |
url |
http://www.sciencedirect.com/science/article/pii/S0370269321000800 |
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