Effects of shear and bulk viscosity on head-on collision of localized waves in high density compact stars


Department of Physics, Ferdowsi University of Mashhad, 91775-1436, Mashhad, Iran


Head on collision of localized waves in cold and dense hadronic matter with and without shear and bulk viscosities is investigated. Non-relativistic dynamics of propagating waves is studied using the hydrodynamics description of the system and suitable equation of state. It will be shown that the localized waves are described by solutions of the Burgers equation. Simulations show that the propagating waves in viscous media travel longer distances in comparison with inviscid similar fluids. In this way, the traveling distance of localized waves is a suitable criterion for evaluating the viscosity of hadronic fluids.


[1] I. Mishustina, et al., Phase transition in compact stars due to a violent shock, Phys. Rev. C 91 (2015) 055806.
[2] P. K. Panda, H. S. Nataraj, Rotating compact star with superconducting quark matter, Phys. Rev. C 73 (2006) 025807.
[3] S. Weissenborn, et al., Hyperons and massive neutron stars: the role of hyperon poten- tials, Nucl. Phys. A 881 (2012) 62-77.
[4] J. Schaffner-Bielich, et al., Astrophysical implications of the QCD phase transition, PoS. Confinement. 8 (2009) 138.
[5] S. Schramm, et al., Structure and cooling of neutron and hybrid stars, arXiv:1202.5113 [astro-ph.SR].
[6] W. H. Y. Wang, et al., The third family of compact stars with the color-flavor locked quark core, Chin. Sci. Bull. 58 (2013) 3731-3734.
[7] R. E.Pudritz, et al., Shock interactions, turbulence and the origin of the stellar mass spectrum, Phil. Tr ans. R. Soc. A 371 (2013) 2003.
[8] J. Macher, J. Schaffner-Bielich, Phase transitions in Compact Stars, Eur. J. Phys. 26 (2005) 341-360.
[9] D. Logoteta, et al., Formation of hybrid stars from metastable hadronic stars,Phys. Rev. C88 (2013) 5,055802.
[10] D. Logoteta, et al., Quark matter nucleation with a microscopic hadronic equation of state, Phys. Rev. C 85 (2012) 055807.
[11] H. R. Moshfegh, et al., Cold Hybrid star properties, AIP Conf. Proc.1377 (2011) 405.
[12] G. Peilert, et al., Physics of high-energy heavy-ion collisions, Rep. Prog. Phys.57 (1994) 533-602.
[13] S. Floerchinger, et al., A perturbative approach to the hydrodynamics of heavy ion collisions, Nucl. Phys. A931 (2014) 965-9.
[14] I. Kozlov, et al., Signatures of collective behavior in small systems, Nucl. Phys. A931 (2014) 1045-50.
[15] D.A. Fogaca, F.S. Navarra, L.G. Ferreira Filho, Viscosity, wave damping and shock wave formation in cold hadronic matter, Phys. Rev C 88 (2013) 025208.
[16] P. Huovinen, P. V. Ruuskanen, Hydrodynamic models for heavy ion collisions, Annu. Rev. Nucl. Part. Sci. 56 (2006) 163-206.
[17] A. Bazavov, The QCD equation of state, Nucl. Phys. A931 (2014) 851-5.
[18] H. Niemi, Collective dynamics in relativistic nuclear collisions, Nucl. Phys. A 931 (2014) 227-37.
[19] D.A. Fogaca, F.S. Navarra, L.G. Ferreira Filho, Nonlinear waves in a Quark Gluon Plasma, Phys. Rev. C81 (2010) 055211.
[20] D.A. Fogaca, F.S. Navarra, L.G. Ferreira Filho, Kadomtsev-Petviashvili equation in relativistic fluid dynamics, Commun. Nonlinear. Sci. 18 (2013) 221-35.
[21] J. I. Kapusta, et al., Relativistic theory of hydrodynamic fluctuations with applications to heavy-ion collisions, Phys. Rev. C 85 (2012) 054906.
[22] P. Staig, E. Shuryak, The fate of the initial state fluctuations in heavy ion collisions , Phys. Rev. C 84 (2011) 034908.
[23] Z. Qiu, U. Heinz, Event-by-event shape and flow fluctuations of relativistic heavy-ion collision fireballs, Phys. Rev. C 84 (2011) 024911.
[24] H. Demiray, Head-on collision of solitary waves in fluid-filled elastic tubes, Appl. Math. Lett.18 (2005) 941-50.
[25]T. Tsuboi, Phase shift in the collision of two solitons propagating in a nonlinear trans- mission line, Phys. Rev.A 40 (1989) 2753-5.
[26] E.F. El-Shamy, et al., Head-on collision of ion-acoustic solitary waves in multicomponent plasmas with positrons, Phys. Plasmas. 17 (2010) 082311.
[27] E.F. El-Shamy, W.A. Awad, on the characteristics of the head-on collision between two ion thermal waves in isothermal pair-ion plasmas containing charged dust grains, Chaos. Soliton. Fr act. 45 (2012) 1520.
[28]W. We n, G. Huang, Dynamics of dark solitons in superfluidFer mi gases in the BCS-BEC crossover, Phys. Rev.A 79 (2009) 023605.
[29] M.G. Paoli. D.P. Menezes, The importance of the mixed phase in hybrid stars built with the Nambu-Jona Lasinio model, Eur. Phys. J. A 46 (2010) 413-20.
[30] D. Logoteta, et al., A chiral model approach to quark matter nucleation in neutron stars, Phys. Rev. D 85 (2012) 023003.
[31] I. Bombaci, et al., Metastability of hadronic compact stars, Phys. Rev. D 77 (2008) 083002.
[32] B.D. Serot, Building atomic nuclei with the Dirac equation, Int. J. Mod. Phys. A 19S1 (2004) 107-120.
[33] F. Verheest, et al., Head-on collisions of electrostatic solitons in nonthermal plasmas, Phys. Rev. E 86 (2012) 036402.