Abstract
Abstract
We present some exact solutions to the ideal hydrodynamics of a relativistic superfluid with an almost-conformal equation of state. The solutions have stress tensors which are invariant under Lorentz boosts in one direction, and represent superfluid generalisations of the Bjorken and Gubser flows. We also study corrections to the flows in first-order hydrodynamics, arguing that dissipation is dominated by the shear viscosity. We present some simple numerical solutions for these viscous corrections. Finally, we estimate the size of corrections to the flows arising when the spontaneously broken U(1) symmetry responsible for superfluidity is only approximate, giving the corresponding Goldstone boson a small non-zero mass. We find that the massless solutions can still provide good approximations at sufficiently small spatial rapidities.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference51 articles.
1. U. Heinz and R. Snellings, Collective flow and viscosity in relativistic heavy-ion collisions, Ann. Rev. Nucl. Part. Sci. 63 (2013) 123 [arXiv:1301.2826] [INSPIRE].
2. S. Jeon and U. Heinz, Introduction to hydrodynamics, Int. J. Mod. Phys. E 24 (2015) 1530010 [arXiv:1503.03931] [INSPIRE].
3. W. Zhao, Y. Zhou, H. Xu, W. Deng and H. Song, Hydrodynamic collectivity in proton-proton collisions at 13 TeV, Phys. Lett. B 780 (2018) 495 [arXiv:1801.00271] [INSPIRE].
4. ALICE collaboration, Search for collectivity with azimuthal J/ψ-hadron correlations in high multiplicity p-Pb collisions at $$ \sqrt{s_{\mathrm{NN}}} $$ = 5.02 and 8.16 TeV, Phys. Lett. B 780 (2018) 7 [arXiv:1709.06807] [INSPIRE].
5. J.D. Bjorken, Highly relativistic nucleus-nucleus collisions: the central rapidity region, Phys. Rev. D 27 (1983) 140 [INSPIRE].
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献