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Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles
Published 1 Nov 2023 in nucl-th, hep-ph, and physics.flu-dyn | (2311.00351v2)
Abstract: In this paper, we study all transport coefficients of second-order dissipative fluid dynamics derived by V. E. Ambrus et al. [Phys. Rev. D 106, 076005 (2022)] from the relativistic Boltzmann equation in the relaxation-time approximation for the collision integral. These transport coefficients are computed for a classical ideal gas of massive particles, with and without taking into account the conservation of intrinsic quantum numbers. Through rigorous comparison between kinetic theory, second-order dissipative fluid dynamics, and leading-order anisotropic fluid dynamics for a (0+1)--dimensional boost-invariant flow scenario, we show that both fluid-dynamical theories describe the early far-from-equilibrium stage of the expansion reasonably well.
- L. Rezzolla and O. Zanotti, Relativistic Hydrodynamics (Oxford University Press, Oxford, United Kingdom, 2013).
- W. A. Hiscock and L. Lindblom, Generic instabilities in first-order dissipative relativistic fluid theories, Phys. rev. D 31, 725 (1985).
- S. Pu, T. Koide, and D. H. Rischke, Does stability of relativistic dissipative fluid dynamics imply causality?, Phys. Rev. D 81, 114039 (2010), arXiv:0907.3906 [hep-ph] .
- H. Grad, On the kinetic theory of rarefied gases, Commun. Pure Appl. Math. 2, 331 (1949).
- W. Israel and J. M. Stewart, Transient relativistic thermodynamics and kinetic theory, Ann. Phys. 118, 341 (1979).
- J. L. Anderson and H. R. Witting, A relativistic relaxation-time for the Boltzmann equation, Physica 74, 466 (1974).
- H. Struchtrup, Stable transport equations for rarefied gases at high orders in the knudsen number, Phys. Fluids 16, 3921 (2004).
- D. Wagner, A. Palermo, and V. E. Ambruş, Inverse-Reynolds-dominance approach to transient fluid dynamics, Phys. Rev. D 106, 016013 (2022), arXiv:2203.12608 [nucl-th] .
- V. E. Ambrus, E. Molnár, and D. H. Rischke, Transport coefficients of second-order relativistic fluid dynamics in the relaxation-time approximation, Phys. Rev. D 106, 076005 (2022a), arXiv:2207.05670 [nucl-th] .
- G. S. Denicol, S. Jeon, and C. Gale, Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation, Phys. Rev. C 90, 024912 (2014a), arXiv:1403.0962 [nucl-th] .
- W. Florkowski and R. Ryblewski, Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions, Phys. Rev. C 83, 034907 (2011), arXiv:1007.0130 [nucl-th] .
- R. Ryblewski and W. Florkowski, Non-boost-invariant motion of dissipative and highly anisotropic fluid, J. Phys. G 38, 015104 (2011), arXiv:1007.4662 [nucl-th] .
- R. Ryblewski and W. Florkowski, Highly-anisotropic hydrodynamics in 3+1 space-time dimensions, Phys. Rev. C 85, 064901 (2012), arXiv:1204.2624 [nucl-th] .
- M. Martinez and M. Strickland, Dissipative Dynamics of Highly Anisotropic Systems, Nucl. Phys. A 848, 183 (2010), arXiv:1007.0889 [nucl-th] .
- M. Martinez and M. Strickland, Non-boost-invariant anisotropic dynamics, Nucl. Phys. A 856, 68 (2011), arXiv:1011.3056 [nucl-th] .
- M. Martinez, R. Ryblewski, and M. Strickland, Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics, Phys. Rev. C 85, 064913 (2012), arXiv:1204.1473 [nucl-th] .
- D. Bazow, U. W. Heinz, and M. Strickland, Second-order (2+1)-dimensional anisotropic hydrodynamics, Phys. Rev. C 90, 054910 (2014), arXiv:1311.6720 [nucl-th] .
- D. Bazow, U. W. Heinz, and M. Martinez, Nonconformal viscous anisotropic hydrodynamics, Phys. Rev. C 91, 064903 (2015), arXiv:1503.07443 [nucl-th] .
- L. Tinti and W. Florkowski, Projection method and new formulation of leading-order anisotropic hydrodynamics, Phys. Rev. C 89, 034907 (2014), arXiv:1312.6614 [nucl-th] .
- L. Tinti, Anisotropic matching principle for the hydrodynamic expansion, Phys. Rev. C 94, 044902 (2016), arXiv:1506.07164 [hep-ph] .
- E. Molnar, H. Niemi, and D. H. Rischke, Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation, Phys. Rev. D 93, 114025 (2016), arXiv:1602.00573 [nucl-th] .
- E. Molnár, H. Niemi, and D. H. Rischke, Closing the equations of motion of anisotropic fluid dynamics by a judicious choice of a moment of the Boltzmann equation, Phys. Rev. D 94, 125003 (2016), arXiv:1606.09019 [nucl-th] .
- M. Alqahtani, M. Nopoush, and M. Strickland, Relativistic anisotropic hydrodynamics, Prog. Part. Nucl. Phys. 101, 204 (2018), arXiv:1712.03282 [nucl-th] .
- S. R. de Groot, W. A. van Leeuwen, and C. G. van Weert, Relativistic kinetic theory: Principles and applications (North-Holland Publ. Comp, Amsterdam, 1980).
- G. S. Denicol and D. H. Rischke, Microscopic foundations of relativistic fluid dynamics (Springer International Publishing AG, 2022).
- F. Jüttner, Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie, Ann. Phys. 339, 856 (1911).
- C. Cercignani and G. M. Kremer, The Relativistic Boltzmann Equation: Theory and Applications (Springer, 2002).
- G. S. Denicol and J. Noronha, Exact results for the Boltzmann collision operator in λϕ4𝜆superscriptitalic-ϕ4\lambda\phi^{4}italic_λ italic_ϕ start_POSTSUPERSCRIPT 4 end_POSTSUPERSCRIPT theory, (2022), arXiv:2209.10370 [nucl-th] .
- D. Wagner, V. E. Ambru\cbs, and E. Molnár, Analytical structure of the binary collision integral and the ultrarelativistic limit of transport coefficients of an ideal gas, (2023), arXiv:2309.09335 [physics.flu-dyn] .
- L. Landau and E.M.Lifshitz, Fluid Dynamics, 2nd edition (Butterworth-Heinemann, 1987).
- P. Romatschke and M. Strickland, Collective modes of an anisotropic quark gluon plasma, Phys. Rev. D 68, 036004 (2003), arXiv:hep-ph/0304092 .
- H. Niemi, E. Molnár, and D. H. Rischke, The right choice of moment for anisotropic fluid dynamics, Nucl. Phys. A 967, 409 (2017), arXiv:1705.01851 [nucl-th] .
- J. D. Bjorken, Highly Relativistic Nucleus-Nucleus Collisions: The Central Rapidity Region, Phys. Rev. D 27, 140 (1983).
- M. Nopoush, R. Ryblewski, and M. Strickland, Bulk viscous evolution within anisotropic hydrodynamics, Phys. Rev. C 90, 014908 (2014), arXiv:1405.1355 [hep-ph] .
- M. Albright and J. I. Kapusta, Quasiparticle Theory of Transport Coefficients for Hadronic Matter at Finite Temperature and Baryon Density, Phys. Rev. C 93, 014903 (2016), arXiv:1508.02696 [nucl-th] .
- P. Chakraborty and J. I. Kapusta, Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter, Phys. Rev. C 83, 014906 (2011), arXiv:1006.0257 [nucl-th] .
- P. Romatschke, M. Mendoza, and S. Succi, A fully relativistic lattice Boltzmann algorithm, Phys. Rev. C 84, 034903 (2011), arXiv:1106.1093 [nucl-th] .
- V. E. Ambrus and R. Blaga, High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases, Phys. Rev. C 98, 035201 (2018), arXiv:1612.01287 [physics.flu-dyn] .
- C.-W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, J. Comput. Phys. 77, 439 (1988).
- S. Gottlieb and C.-W. Shu, Total variation diminishing Runge-Kutta schemes, Math. Comp. 67, 73 (1998).
- D. E. Amos, Computation of Bessel functions of complex argument and large order 10.2172/5903937 (1983a).
- D. E. Amos, Algorithm 609: A Portable FORTRAN Subroutine for the Bickley Functions Kin (x), ACM Trans. Math. Softw. 9, 480–493 (1983b).
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