\begin{document}$ \varepsilon=3p $\end{document} are derived. Extending the Victor-Bjorken ideal MHD flow to include non-zero shear viscosity, we first obtain two perturbative analytical solutions for the first-order (Navier-Stokes) approximation. For small, power-law evolving external magnetic fields, our stable solutions show that both magnetic field and shear viscosity cause fluid heating with an early temperature peak, consistent with numerical results. In the second-order (Israel-Stewart) theory, our numerical results show that the combined presence of magnetic field and shear viscosity leads to a slow cooling rate of fluid temperature, with initial shear stress significantly influencing temperature evolution of the medium."> 1+1 dimensional relativistic viscous non-resistive magnetohydrodynamics with longitudinal boost invariance -
  • [1]

    J. Adamset al. (STAR Collaboration), Nucl. Phys. A757, 102 (2005)

  • [2]

    K. Aamodtet al. (ALICE Collaboration), JINST3, S08002 (2008)

  • [3]

    W.-T. Deng and X.-G. Huang, Phys. Rev. C85, 044907 (2012)

  • [4]

    H. Li, X.-L. Sheng, and Q. Wang, Phys. Rev. C94(4), 044903 (2016)

  • [5]

    U. Gursoy, D. E. Kharzeev, and K. Rajagopal, Phys. Rev. C89(5), 054905 (2014)

  • [6]

    S. K. Das, S. Plumari, S. Chatterjeeet al., Phys. Lett. B768, 260 (2017)

  • [7]

    U. Gürsoy, D. E. Kharzeev, E. Marcuset al., Phys. Rev. C98(5), 055201 (2018)

  • [8]

    S. Chatterjee and P. Bozek, Phys. Lett. B798, 134955 (2019)

  • [9]

    L. Oliva, S. Plumari, and V. Greco, JHEP2021, 034 (2021)

  • [10]

    Y. Sun, S. Plumari, and V. Greco, Phys. Lett. B816, 136271 (2021)

  • [11]

    Z.-F. Jiang, S.-S. Cao, W.-J. Xinget al., Phys. Rev. C105(5), 054907 (2022)

  • [12]

    A. Huang, Y. Jiang, S. Shiet al., Phys. Lett. B777, 177 (2018)

  • [13]

    D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A803, 227 (2008)

  • [14]

    K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D78, 074033 (2008)

  • [15]

    D. E. Kharzeev, J. Liao, S. A. Voloshinet al., Prog. Part. Nucl. Phys.88, 1 (2016)

  • [16]

    D. E. Kharzeev, J. Liao, and P. Tribedy, Int. J. Mod. Phys. E33(09), 2430007 (2024)

  • [17]

    G.-R. Liang, J. Liao, S. Linet al., Chin. Phys. C44(9), 094103 (2020)

  • [18]

    Y. Jiang, S. Shi, Y. Yinet al., Chin. Phys. C42(1), 011001 (2018)

  • [19]

    S. Choudhuryet al. (STAR Collaboration), Chin. Phys. C46(1), 014101 (2022)

  • [20]

    A. H. Tang, Chin. Phys. C44(5), 054101 (2020)

  • [21]

    J.-H. Gao, G.-L. Ma, S. Puet al., Nucl. Sci. Tech.31(9), 90 (2020)

  • [22]

    S. Shi, Y. Jiang, E. Lilleskovet al., Annals Phys.394, 50 (2018)

  • [23]

    X.-G. Huang and J. Liao, Phys. Rev. Lett.110(23), 232302 (2013)

  • [24]

    S. Pu, S.-Y. Wu, and D.-L. Yang, Phys. Rev. D89(8), 085024 (2014)

  • [25]

    D. E. Kharzeev and H.-U. Yee, Phys. Rev. D83, 085007 (2011)

  • [26]

    L. Adamczyket al. (STAR Collaboration), Phys. Rev. Lett.114(25), 252302 (2015)

  • [27]

    A. M. Sirunyanet al. (CMS Collaboration), Phys. Rev. C97(4), 044912 (2018)

  • [28]

    M. Abdallahet al. (STAR Collaboration), Phys. Rev. C105(1), 014901 (2022)

  • [29]

    M. S. Abdallahet al. (STAR Collaboration), Phys. Rev. Lett.128(9), 092301 (2022)

  • [30]

    J. Adamet al. (STAR Collaboration), Phys. Rev. Lett.123(16), 162301 (2019)

  • [31]

    S. Acharyaet al. (ALICE Collaboration), Phys. Rev. Lett.125(2), 022301 (2020)

  • [32]

    M. I. Abdulhamidet al. (STAR Collaboration), Phys. Rev. X14(1), 011028 (2024)

  • [33]

    H. Song, S. A. Bass, U. Heinzet al., Phys. Rev. Lett.106, 192301 (2011), [Erratum: Phys. Rev. Lett. 109, 139904 (2012)]

  • [34]

    U. Heinz and R. Snellings, Ann. Rev. Nucl. Part. Sci.63, 123 (2013)

  • [35]

    C. Gale, S. Jeon, and B. Schenke, Int. J. Mod. Phys. A28, 1340011 (2013)

  • [36]

    Iu. Karpenko, P. Huovinen, and M. Bleicher, Comput. Phys. Commun.185, 3016 (2014)

  • [37]

    S. Jeon and U. Heinz, Int. J. Mod. Phys. E24(10), 1530010 (2015)

  • [38]

    F. Becattini and Iu. Karpenko, Phys. Rev. Lett.120(1), 012302 (2018)

  • [39]

    F. Becattini and M. A. Lisa, Ann. Rev. Nucl. Part. Sci.70, 395 (2020)

  • [40]

    M. Csanád, T. Csörgő, Z.-F. Jianget al., Universe3(1), 9 (2017)

  • [41]

    Z.-F. Jiang, C.-B. Yang, M. Csanadet al., Phys. Rev. C97(6), 064906 (2018)

  • [42]

    W. Zhao, C. Shen, and B. Schenke, Phys. Rev. Lett.129(25), 252302 (2022)

  • [43]

    W. Zhao, C.-M. Ko, Y.-X. Liuet al., Phys. Rev. Lett.125(7), 072301 (2020)

  • [44]

    Z.-F. Jiang, S.-S. Cao, X.-Y. Wuet al., Phys. Rev. C105(3), 034901 (2022)

  • [45]

    X.-Y. Wu, G.-Y. Qin, L.-G. Panget al., Phys. Rev. C105(3), 034909 (2022)

  • [46]

    Z.-F. Jiang, S.-S. Cao, and B.-W. Zhang, Phys. Rev. C111(3), 034906 (2025)

  • [47]

    G. Inghirami, L. D. Zanna, A. Beraudoet al., Eur. Phys. J. C76(12), 659 (2016)

  • [48]

    K. Nakamura, T. Miyoshi, C. Nonakaet al., Phys. Rev. C107(1), 014901 (2023)

  • [49]

    M. Mayer, A. Dash, G. Inghiramiet al., Phys. Rev. C111(4), 044908 (2025)

  • [50]

    H. T. Ding, A. Francis, O. Kaczmareket al., Phys. Rev. D83, 034504 (2011)

  • [51]

    H.-T. Ding, O. Kaczmarek, and F. Meyer, Phys. Rev. D94(3), 034504 (2016)

  • [52]

    G. S. Bali, F. Bruckmann, G. Endrodiet al., Phys. Rev. Lett.112, 042301 (2014)

  • [53]

    L.-G. Pang, G. Endrődi, and H. Petersen, Phys. Rev. C93(4), 044919 (2016)

  • [54]

    Z.-F. Jiang, Z.-H. Zhang, X.-F. Yuanet al., Phys. Rev. C110(1), 014902 (2024)

  • [55]

    A. Huang, X.-Y. Wu, and M. Huang, Phys. Rev. D110(9), 094032 (2024)

  • [56]

    V. Roy, S. Pu, L. Rezzollaet al., Phys. Lett. B750, 45 (2015)

  • [57]

    S. Pu, V. Roy, L. Rezzollaet al., Phys. Rev. D93(7), 074022 (2016)

  • [58]

    I. Siddique, R.-j. Wang, S. Puet al., Phys. Rev. D99(11), 114029 (2019)

  • [59]

    K. Fukushima, K. Hattori, and K. Mameda, arXiv: 2409.18652

  • [60]

    H.-H. Peng, S. Wu, R.-j. Wanget al., Phys. Rev. D107(9), 096010 (2023)

  • [61]

    D. She, Z.-F. Jiang, D. Houet al., Phys. Rev. D100(11), 116014 (2019)

  • [62]

    M. Haddadi Moghaddam, W. M. Alberico, D. Sheet al., Phys. Rev. D102(1), 014017 (2020)

  • [63]

    M. Shokri and N. Sadooghi, JHEP2018, 181 (2018)

  • [64]

    R. Biswas, A. Dash, N. Haqueet al., JHEP2020, 171 (2020)

  • [65]

    I. Cordeiro, E. Speranza, K. Ingleset al., Phys. Rev. Lett.133(9), 091401 (2024)

  • [66]

    Z. Fang, K. Hattori, and J. Hu, Phys. Rev. D110(5), 056049 (2024)

  • [67]

    G. S. Rocha, D. Wagner, Gabriel S. Denicolet al., Entropy26(3), 189 (2024)

  • [68]

    E. R. Most and J. Noronha, Phys. Rev. D104(10), 103028 (2021)

  • [69]

    A. Muronga, Phys. Rev. Lett.88, 062302 (2002), [Erratum: Phys. Rev. Lett. 89, 159901 (2002)]

  • [70]

    A. Muronga, Phys. Rev. C69, 034903 (2004)

  • [71]

    S. Denicol, X.-G. Huang, E. Molnáret al., Phys. Rev. D98(7), 076009 (2018)

Baidu
map