Nonlinear waves in second order conformal hydrodynamics

D. A. Fogaça; H. Marrochio; F. S. Navarra; J. Noronha

doi:10.1016/j.nuclphysa.2014.11.009

Nonlinear waves in second order conformal hydrodynamics

D. A. Fogaça, H. Marrochio, F. S. Navarra, J. Noronha

Research output: Contribution to journal › Article › peer-review

Abstract

In this work we study wave propagation in dissipative relativistic fluids described by a simplified set of the 2nd order viscous conformal hydrodynamic equations corresponding to Israel-Stewart theory. Small amplitude waves are studied within the linearization approximation while waves with large amplitude are investigated using the reductive perturbation method, which is generalized to the case of 2nd order relativistic hydrodynamics. Our results indicate the presence of a "soliton-like" wave solution in Israel-Stewart hydrodynamics despite the presence of dissipation and relaxation effects.

Original language	English (US)
Pages (from-to)	18-40
Number of pages	23
Journal	Nuclear Physics A
Volume	934
DOIs	https://doi.org/10.1016/j.nuclphysa.2014.11.009
State	Published - Feb 1 2015
Externally published	Yes

Keywords

Burgers equation
Israel-Stewart theory
Nonlinear waves
Relativistic hydrodynamics

ASJC Scopus subject areas

Nuclear and High Energy Physics

Online availability

10.1016/j.nuclphysa.2014.11.009

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title = "Nonlinear waves in second order conformal hydrodynamics",

abstract = "In this work we study wave propagation in dissipative relativistic fluids described by a simplified set of the 2nd order viscous conformal hydrodynamic equations corresponding to Israel-Stewart theory. Small amplitude waves are studied within the linearization approximation while waves with large amplitude are investigated using the reductive perturbation method, which is generalized to the case of 2nd order relativistic hydrodynamics. Our results indicate the presence of a {"}soliton-like{"} wave solution in Israel-Stewart hydrodynamics despite the presence of dissipation and relaxation effects.",

keywords = "Burgers equation, Israel-Stewart theory, Nonlinear waves, Relativistic hydrodynamics",

author = "Foga{\c c}a, {D. A.} and H. Marrochio and Navarra, {F. S.} and J. Noronha",

note = "Funding Information: This work was partially financed by the Brazilian funding agencies CAPES , CNPq and FAPESP . J.N. thanks the Physics Department of the Ohio State University for its hospitality during the time this work was being finished. Publisher Copyright: {\textcopyright} 2014 Elsevier B.V.",

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doi = "10.1016/j.nuclphysa.2014.11.009",

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AU - Fogaça, D. A.

AU - Marrochio, H.

AU - Navarra, F. S.

AU - Noronha, J.

N1 - Funding Information: This work was partially financed by the Brazilian funding agencies CAPES , CNPq and FAPESP . J.N. thanks the Physics Department of the Ohio State University for its hospitality during the time this work was being finished. Publisher Copyright: © 2014 Elsevier B.V.

PY - 2015/2/1

Y1 - 2015/2/1

N2 - In this work we study wave propagation in dissipative relativistic fluids described by a simplified set of the 2nd order viscous conformal hydrodynamic equations corresponding to Israel-Stewart theory. Small amplitude waves are studied within the linearization approximation while waves with large amplitude are investigated using the reductive perturbation method, which is generalized to the case of 2nd order relativistic hydrodynamics. Our results indicate the presence of a "soliton-like" wave solution in Israel-Stewart hydrodynamics despite the presence of dissipation and relaxation effects.

AB - In this work we study wave propagation in dissipative relativistic fluids described by a simplified set of the 2nd order viscous conformal hydrodynamic equations corresponding to Israel-Stewart theory. Small amplitude waves are studied within the linearization approximation while waves with large amplitude are investigated using the reductive perturbation method, which is generalized to the case of 2nd order relativistic hydrodynamics. Our results indicate the presence of a "soliton-like" wave solution in Israel-Stewart hydrodynamics despite the presence of dissipation and relaxation effects.

KW - Burgers equation

KW - Israel-Stewart theory

KW - Nonlinear waves

KW - Relativistic hydrodynamics

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Nonlinear waves in second order conformal hydrodynamics

Abstract

Keywords

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