Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics

Within the framework of relativistic fluctuating hydrodynamics we compute the contribution of thermal fluctuations to the effective infrared shear viscosity of a conformal fluid, focusing on quadratic (in fluctuations), second order (in velocity gradients) terms in the conservation equations. Our ap...

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Autores principales:	Peralta-Ramos, J., Calzetta, E.
Formato:	JOUR
Materias:	Phenomenological models Quantum dissipative systems
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_11266708_v2012_n2_p_PeraltaRamos
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_11266708_v2012_n2_p_PeraltaRamos
record_format	dspace
spelling	todo:paper_11266708_v2012_n2_p_PeraltaRamos2023-10-03T16:06:52Z Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics Peralta-Ramos, J. Calzetta, E. Phenomenological models Quantum dissipative systems Within the framework of relativistic fluctuating hydrodynamics we compute the contribution of thermal fluctuations to the effective infrared shear viscosity of a conformal fluid, focusing on quadratic (in fluctuations), second order (in velocity gradients) terms in the conservation equations. Our approach is based on the separation of hydrodynamic fields in soft and ultrasoft sectors, in which the effective shear viscosity arises due to the action of the soft modes on the evolution of the ultrasoft ones. We find that for a strongly coupled fluid with small shear viscosity-to-entropy ratio η/s the contribution of thermal fluctuations to the effective shear viscosity is small but significant. Using realistic estimates for the strongly coupled quark-gluon plasma created in heavy ion collisions, we find that for η/s close to the AdS/CFT lower bound 1/(4π) the correction is positive and at most amounts to 10% in the temperature range 200-300MeV, whereas for larger values η/s ∼ 2/(4π) the correction is negligible. For weakly coupled theories the correction is very small even for η/s = 0.08 and can be neglected. © SISSA 2012. Fil:Peralta-Ramos, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Calzetta, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11266708_v2012_n2_p_PeraltaRamos
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Phenomenological models Quantum dissipative systems
spellingShingle	Phenomenological models Quantum dissipative systems Peralta-Ramos, J. Calzetta, E. Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics
topic_facet	Phenomenological models Quantum dissipative systems
description	Within the framework of relativistic fluctuating hydrodynamics we compute the contribution of thermal fluctuations to the effective infrared shear viscosity of a conformal fluid, focusing on quadratic (in fluctuations), second order (in velocity gradients) terms in the conservation equations. Our approach is based on the separation of hydrodynamic fields in soft and ultrasoft sectors, in which the effective shear viscosity arises due to the action of the soft modes on the evolution of the ultrasoft ones. We find that for a strongly coupled fluid with small shear viscosity-to-entropy ratio η/s the contribution of thermal fluctuations to the effective shear viscosity is small but significant. Using realistic estimates for the strongly coupled quark-gluon plasma created in heavy ion collisions, we find that for η/s close to the AdS/CFT lower bound 1/(4π) the correction is positive and at most amounts to 10% in the temperature range 200-300MeV, whereas for larger values η/s ∼ 2/(4π) the correction is negligible. For weakly coupled theories the correction is very small even for η/s = 0.08 and can be neglected. © SISSA 2012.
format	JOUR
author	Peralta-Ramos, J. Calzetta, E.
author_facet	Peralta-Ramos, J. Calzetta, E.
author_sort	Peralta-Ramos, J.
title	Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics
title_short	Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics
title_full	Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics
title_fullStr	Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics
title_full_unstemmed	Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics
title_sort	shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics
url	http://hdl.handle.net/20.500.12110/paper_11266708_v2012_n2_p_PeraltaRamos
work_keys_str_mv	AT peraltaramosj shearviscosityfromthermalfluctuationsinrelativisticconformalfluiddynamics AT calzettae shearviscosityfromthermalfluctuationsinrelativisticconformalfluiddynamics
_version_	1807317647430254592

Shear viscosity from thermal fluctuations in relativistic conformal fluid dynamics

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