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Alireza Behtash, Syo Kamata, Mauricio Martinez, and Haosheng Shi, “Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow,” Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
Jean-Paul Blaizot and Li Yan, “Emergence of hydrodynamical behavior in expanding ultra-relativistic plasmas,” Annals Phys. 412
Original
1904
Earlier work this paper cites.
Jean-Paul Blaizot and Naoto Tanji, “Angular mode expansion of the Boltzmann equation in the small-angle approximation,” (2019), 10.1016/j.nuclphysa.2019.121618 , arXiv:1904.08244 [hep-ph]
Original
1904
Earlier work this paper cites.
Aleksi Kurkela, Wilke van der Schee, Urs Achim Wiedemann, and Bin Wu, “Early- and Late-Time Behavior of Attractors in Heavy-Ion Collisions,” Phys. Rev. Lett. 124
Original
1907
Earlier work this paper cites.
Sunil Jaiswal, Chandrodoy Chattopadhyay, Amaresh Jaiswal, Subrata Pal, and Ulrich Heinz, “Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow,” Phys. Rev. C 100
Original
1907
Earlier work this paper cites.
Gabriel S. Denicol and Jorge Noronha, “Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres,” Phys. Rev. Lett. 124
Original
1908
Earlier work this paper cites.
Jasmine Brewer, Li Yan, and Yi Yin, “Adiabatic hydrodynamization in rapidly-expanding quark-gluon plasma,” (2019), arXiv:1910.00021 [nucl-th]
Original
1910
Earlier work this paper cites.
Chandrodoy Chattopadhyay and Ulrich W. Heinz, “Hydrodynamics from free-streaming to thermalization and back again,” Phys. Lett. B 801
Original
1911
Earlier work this paper cites.
Milton Abramowitz, Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables, (Dover Publications, Inc., USA, 1974)
1974
Earlier work this paper cites.
W. Israel and J.M. Stewart, “Transient relativistic thermodynamics and kinetic theory,” Annals Phys. 118
1979
Earlier work this paper cites.
J.D. Bjorken, “Highly Relativistic Nucleus-Nucleus Collisions: The Central Rapidity Region,” Phys. Rev. D 27
1983
Earlier work this paper cites.
G. Baym, “Thermal equilibration in ultrarelativistc heavy ion collisions,” Phys. Lett. B 138
1984
Earlier work this paper cites.

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Harris J. Silverstone, Sachiko Nakai, and Jonathan G. Harris, “Observations on the summability of confluent hypergeometric functions and on semiclassical quantum mechanics,” Phys. Rev. A 32
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Later among the works it cites.

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2020

Analytical attractor for Bjorken expansion

Blaizot, Jean-Paul, Yan, Li

Understand

We present an analytic solution of a simple set of equations that govern the expansion of boost-invariant plasmas of massless particles.

These equations describe, approximately, the early time, collisionless regime, and the transition to hydrodynamics at late time.
Their mathematical structure encompasses all versions of second order hydrodynamics when applied to Bjorken flows.
The analytic solution provides an explicit expression for the attractor solution that connects the collisionless regime to hydrodynamics.

Built on

Alireza Behtash, Syo Kamata, Mauricio Martinez, and Haosheng Shi, “Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow,” Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
Jean-Paul Blaizot and Li Yan, “Emergence of hydrodynamical behavior in expanding ultra-relativistic plasmas,” Annals Phys. 412
Original
1904
Earlier work this paper cites.
Jean-Paul Blaizot and Naoto Tanji, “Angular mode expansion of the Boltzmann equation in the small-angle approximation,” (2019), 10.1016/j.nuclphysa.2019.121618 , arXiv:1904.08244 [hep-ph]
Original
1904
Earlier work this paper cites.
Aleksi Kurkela, Wilke van der Schee, Urs Achim Wiedemann, and Bin Wu, “Early- and Late-Time Behavior of Attractors in Heavy-Ion Collisions,” Phys. Rev. Lett. 124
Original
1907
Earlier work this paper cites.
Sunil Jaiswal, Chandrodoy Chattopadhyay, Amaresh Jaiswal, Subrata Pal, and Ulrich Heinz, “Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow,” Phys. Rev. C 100
Original
1907
Earlier work this paper cites.
Gabriel S. Denicol and Jorge Noronha, “Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres,” Phys. Rev. Lett. 124
Original
1908
Earlier work this paper cites.
Jasmine Brewer, Li Yan, and Yi Yin, “Adiabatic hydrodynamization in rapidly-expanding quark-gluon plasma,” (2019), arXiv:1910.00021 [nucl-th]
Original
1910
Earlier work this paper cites.
Chandrodoy Chattopadhyay and Ulrich W. Heinz, “Hydrodynamics from free-streaming to thermalization and back again,” Phys. Lett. B 801
Original
1911
Earlier work this paper cites.
Milton Abramowitz, Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables, (Dover Publications, Inc., USA, 1974)
1974
Earlier work this paper cites.
W. Israel and J.M. Stewart, “Transient relativistic thermodynamics and kinetic theory,” Annals Phys. 118
1979
Earlier work this paper cites.
J.D. Bjorken, “Highly Relativistic Nucleus-Nucleus Collisions: The Central Rapidity Region,” Phys. Rev. D 27
1983
Earlier work this paper cites.
G. Baym, “Thermal equilibration in ultrarelativistc heavy ion collisions,” Phys. Lett. B 138
1984
Earlier work this paper cites.

Similar

Harris J. Silverstone, Sachiko Nakai, and Jonathan G. Harris, “Observations on the summability of confluent hypergeometric functions and on semiclassical quantum mechanics,” Phys. Rev. A 32
1985
Cited alongside, same era.
Rudolf Baier, Paul Romatschke, Dam Thanh Son, Andrei O. Starinets, and Mikhail A. Stephanov, “Relativistic viscous hydrodynamics, conformal invariance, and holography,” JHEP 04
Original
2008
Cited alongside, same era.
Marcos Marino, “Nonperturbative effects and nonperturbative definitions in matrix models and topological strings,” JHEP 12
Original
2008
Cited alongside, same era.
A. Behtash, S. Kamata, M. Martinez, T. Schaefer, and V. Skokov, “Transasymptotics and hydrodynamization of the fokker-planck equation for gluons,” (2020), arXiv:2011.08235 [hep-ph]
Original
2011
Cited alongside, same era.

Then

Paul Romatschke and Ulrike Romatschke, “Relativistic fluid dynamics in and out of equilibrium – ten years of progress in theory and numerical simulations of nuclear collisions,” (2017), arXiv:1712.05815 [nucl-th]
Original
2017
Later among the works it cites.
Jean-Paul Blaizot and Li Yan, “Onset of hydrodynamics for a quark-gluon plasma from the evolution of moments of distribution functions,” JHEP 11
Original
2017
Later among the works it cites.
Wojciech Florkowski, Michal P. Heller, and Michal Spalinski, “New theories of relativistic hydrodynamics in the LHC era,” Rept. Prog. Phys. 81
Original
2018
Later among the works it cites.
Paul Romatschke, “Relativistic Fluid Dynamics Far From Local Equilibrium,” Phys. Rev. Lett. 120
Original
2018
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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Michal P. Heller, Romuald A. Janik, and Przemyslaw Witaszczyk, “The characteristics of thermalization of boost-invariant plasma from holography,” Phys. Rev. Lett. 108

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Gabriel S. Denicol and Jorge Noronha, “Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics,” Phys. Rev. D97

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