Wave-Breaking Phenomena in Quark-Gluon Plasma
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909779807436800 |
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| author | Paul, Biswarup |
| author_facet | Paul, Biswarup |
| contents | We investigate the onset of wave-breaking in the quark-gluon plasma (QGP) formed in heavy-ion collisions at both RHIC and the LHC. A nonlinear longitudinal color field is coupled to a three-dimensional viscous hydrodynamic background constrained by experimental conditions: Pb-Pb at $\sqrt{s_{\rm NN}}=5.02$ TeV (LHC) and Au-Au at $\sqrt{s_{\rm NN}}=200$ GeV (RHIC). The instantaneous wave-breaking threshold is determined from the in-medium plasma frequency, while the field evolution follows a nonlinear Landau equation with Debye screening and expansion damping. At the LHC, the higher initial temperature and density drive the system above the threshold within $τ\lesssim $ 2.3 fm/$c$, whereas at RHIC the cooler and more dilute medium delays wave-breaking to $τ\simeq 2.8$~fm/$c$. Scans over initial temperature, density, thermalization time, QGP lifetime, and collision system (RHIC vs LHC) confirm the robustness of this instability against parameter variations. These results identify wave-breaking as a universal microscopic mechanism for the early loss of coherence and rapid onset of hydrodynamics in the QGP, providing a common explanation for the fast equilibration observed at both RHIC and the LHC. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08130 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wave-Breaking Phenomena in Quark-Gluon Plasma Paul, Biswarup Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment We investigate the onset of wave-breaking in the quark-gluon plasma (QGP) formed in heavy-ion collisions at both RHIC and the LHC. A nonlinear longitudinal color field is coupled to a three-dimensional viscous hydrodynamic background constrained by experimental conditions: Pb-Pb at $\sqrt{s_{\rm NN}}=5.02$ TeV (LHC) and Au-Au at $\sqrt{s_{\rm NN}}=200$ GeV (RHIC). The instantaneous wave-breaking threshold is determined from the in-medium plasma frequency, while the field evolution follows a nonlinear Landau equation with Debye screening and expansion damping. At the LHC, the higher initial temperature and density drive the system above the threshold within $τ\lesssim $ 2.3 fm/$c$, whereas at RHIC the cooler and more dilute medium delays wave-breaking to $τ\simeq 2.8$~fm/$c$. Scans over initial temperature, density, thermalization time, QGP lifetime, and collision system (RHIC vs LHC) confirm the robustness of this instability against parameter variations. These results identify wave-breaking as a universal microscopic mechanism for the early loss of coherence and rapid onset of hydrodynamics in the QGP, providing a common explanation for the fast equilibration observed at both RHIC and the LHC. |
| title | Wave-Breaking Phenomena in Quark-Gluon Plasma |
| topic | Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2509.08130 |