Subdiffusion of heavy quark in hot QCD matter by the fractional Langevin equation

Abstract

The subdiffusion phenomena are studied for heavy quarks dynamics in the hot QCD matter. My approach aims to provide a more realistic description of heavy quark dynamics through detailed theoretical analyses and numerical simulations, utilizing the fractional Langevin equation framework with the Caputo fractional derivative. I present numerical schemes for the fractional Langevin equation for subdiffusion and calculate the time evolution mean squared displacement and mean squared momentum of the heavy quarks. My results indicate that the mean squared displacements of the heavy quarks for the subdiffusion process deviate from a linear relationship with time. Further, I calculate the normalized momentum correlation function, kinetic energy, and momentum spread. Finally, I show the effect of subdiffusion on experimental observables, the nuclear modification factor.

Published in PHYSICAL REVIEW C

References in corpus (30)

• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Towards an understanding of the RHIC single electron data
• Direct observation of dijets in central Au+Au collisions at sqrt(s_NN) = 200 GeV
• Toward a solution to the $R_{AA}$ and $v_2$ puzzle for heavy quarks
• Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
• A data-driven analysis for the temperature and momentum dependence of the heavy quark diffusion coefficient in relativistic heavy-ion collisions
• Heavy Quark Diffusion from 2+1 Flavor Lattice QCD with 320 MeV Pion Mass
• Fractional advection-diffusion-asymmetry equation
• Memory effects on energy loss and diffusion of heavy quarks in the quark-gluon plasma
• Dynamics of Hot QCD Matter -- Current Status and Developments
• Heavy quark transport in an anisotropic hot QCD medium: Collisional and Radiative processes
• A study of charm quark dynamics in quark-gluon plasma with 3+1 D viscous hydrodynamics
• Heavy quark radiation in an anisotropic hot QCD medium
• Open charm phenomenology with a multi-stage approach to relativistic heavy-ion collisions
• Heavy quark transport coefficients in a viscous QCD medium with collisional and radiative processes
• Exploring the effects of electromagnetic fields and tilted bulk distribution on directed flow of D mesons in small systems
• Energy Loss Versus Energy Gain of Heavy Quarks in a Hot Medium
• Dragging heavy quark in an anisotropic QCD medium beyond the static limit
• Dynamics in fractal spaces
• Heavy Quark Momentum Broadening in a Non-Abelian Plasma away from Thermal Equilibrium
• Energy loss of a fast moving parton in Gribov-Zwanziger plasma
• Langevin picture of anomalous diffusion processes in expanding medium
• Accelerated quantum circuit Monte-Carlo simulation for heavy quark thermalization
• Energy loss of heavy quarks in the presence of magnetic field
• Dynamics of heavy flavour in a weakly magnetized hot QCD medium
• B-mesons as essential probes of hot QCD matter
• Jet Quenching of the Heavy Quarks in the Quark-Gluon Plasma and the Nonadditive Statistics
• Anomalous diffusion of the heavy quarks through the fractional Langevin equation
• Theory of heavy-quarks contribution to the quark-gluon plasma viscosity

Cited by in corpus (1)

• Collective excitations in the hot QCD medium and the propagation of Heavy Quarks