Exploring transport properties of quark-gluon plasma in flavor-dependent systems with a holographic model

Based on the holographic model, which incorporates the equation of state and baryon number susceptibility for different flavors, we calculate the drag force, jet quenching parameter, and diffusion coefficient of the heavy quark at finite temperature and chemical potential. The holographic results for the diffusion coefficient align with lattice data for <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>N</a:mi><a:mi>f</a:mi></a:msub><a:mo>=</a:mo><a:mn>0</a:mn></a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msub><c:mi>N</c:mi><c:mi>f</c:mi></c:msub><c:mo>=</c:mo><c:mn>2</c:mn><c:mo>+</c:mo><c:mn>1</c:mn></c:math>, falling within their error margins. The holographic diffusion coefficient for heavy quark in the systems of different flavors is compatible with estimates from A Large Ion Collider Experiment data. The jet quenching parameter in our model demonstrates strong consistency with the estimations obtained from Bayesian analysis of data from both relativistic heavy ion collider and LHC for different flavors. We can confirm the model provides a good description of the transport properties of quark-gluon plasma. The work reinforces the potential of bottom-up holographic model in advancing our understanding of transport properties of hot and dense quark-gluon plasma.