The chromo-electromagnetic field is produced due to the motion of partons in a quark–gluon plasma created by relativistic heavy-ion collisions. The fluctuations in the produced chromo-electromagnetic field are important, since they cause heavy quarks to gain energy in the low velocity limit. We study the effect of such fluctuations on heavy quark diffusion in quark–gluon plasma within the framework of Langevin dynamics under the background matter described by the (\(3+1\))-dimensional relativistic viscous hydrodynamics. Theoretical calculations of the nuclear modification factor (\(R_{AA}\)) of heavy mesons (D and B mesons), with the effect of these fluctuations, are compared with experimental measurements in Au–Au collisions at \(\sqrt{s_{NN}} = 200\) GeV by the STAR experiment at the BNL Relativistic Heavy Ion Collider (RHIC) and Pb–Pb collisions at \(\sqrt{s_{NN}} = 2.76\) and 5.02 TeV by the ALICE and CMS experiments at the CERN Large Hadron Collider (LHC). In addition to that, the elliptic flow (\(v_2\)) of D-meson has been calculated in the same framework for Pb–Pb collisions at \(\sqrt{s_{NN}} = 2.76\) and compared with ALICE measurements. We find a significant effect of these fluctuations in describing the measured \(R_{AA}\) and \(v_2\) of heavy flavour mesons at both RHIC and LHC energies.

中文翻译：

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夸克-胶子等离子体中的浓味朗格万蛋白扩散与色度-电磁场波动

色电磁场是由于相对论重离子碰撞产生的夸克-胶子等离子体中的部分子运动而产生的。产生的色电磁场的波动很重要，因为它们会导致重夸克在低速范围内获得能量。我们在（\（3 + 1 \））维相对论粘滞流体动力学描述的背景下，研究了这种波动对夸克-胶子等离子体中夸克-胶子等离子体中大量夸克扩散的影响。在这些波动的影响下，重介子（D和B介子）的核修饰因子（\（R_ {AA} \））的理论计算与Au中的实验测量结果进行了比较。-金碰撞在\（\ SQRT {S_ {NN}} = 200 \） GeV的通过在BNL相对论重离子对撞机（RHIC）和STAR实验铅-铅碰撞在\（\ SQRT {S_ {NN}} =在CERN大型强子对撞机（LHC）上进行的ALICE和CMS实验得出2.76 \）和5.02 TeV。除此之外，D-介子的椭圆流（\（v_2 \））是在同一框架下针对\（\ sqrt {s_ {NN}} = 2.76 \）的Pb – Pb碰撞计算的，并与ALICE进行了比较测量。我们发现这些波动对描述测得的\（R_ {AA} \）和\（v_2 \）有很大影响 RHIC和LHC能量下的重味介子。