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The propagation of heavy quarks (HQs) in a medium was quite often modeled bythe Fokker-Plank (FP) equation. Since the transport coefficients, related todrag and diffusion processes are the main ingredients in the FP equation, theevolution of HQs is thus effectively controlled by them. At the initial stageof the relativistic heavy ion collisions, asymptotic weak-coupling causes thefree-streaming motions of partons in the beam direction and the expansion intransverse directions are almost frozen, hence an anisotropy in the momentumspace sets in. Since HQs are too produced in the same time therefore the studyof the effect of momentum anisotropy on the drag and diffusion coefficientsbecomes advertently desirable. In this article we have thus studied the dragand diffusion of HQs in the anisotropic medium and found that the presence ofthe anisotropy reduces both drag and diffusion coefficients. In addition, theanisotropy introduces an angular dependence to both the drag and diffusioncoefficients, as a result both coefficients get inflated when the partons aremoving transverse to the direction of anisotropy than parallel to the directionof anisotropy.

Drag and Diffusion of Heavy Quarks in a hot and anisotropic QCD medium