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

Library availability

Discover UIUC Full Text

Cite this

@article{58be35e23f3f4641aeae38cdf72848f4,

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 = "Publisher Copyright: {\textcopyright} 2014 Elsevier B.V.",

year = "2015",

month = feb,

day = "1",

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

language = "English (US)",

volume = "934",

pages = "18--40",

journal = "Nuclear Physics A",

issn = "0375-9474",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Nonlinear waves in second order conformal hydrodynamics

AU - Fogaça, D. A.

AU - Marrochio, H.

AU - Navarra, F. S.

AU - Noronha, J.

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

UR - http://www.scopus.com/inward/record.url?scp=84916613082&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84916613082&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2014.11.009

DO - 10.1016/j.nuclphysa.2014.11.009

M3 - Article

AN - SCOPUS:84916613082

SN - 0375-9474

VL - 934

SP - 18

EP - 40

JO - Nuclear Physics A

JF - Nuclear Physics A

ER -

Nonlinear waves in second order conformal hydrodynamics

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this