  Momentum space anisotropy present in the quark and gluon distribution
functions in relativistic heavy ion collisions induces Chromo-Weibel
instability in the hot QCD medium created therein. The impact of the
Chromo-Weibel instability on the dynamics of a heavy-quark (HQ) traversing in
the QGP medium is investigated within the framework of kinetic theory by
studying the momentum and temperature behavior of HQ drag and diffusion
coefficients. The physics of anisotropy is captured in an effective Vlasov term
in the transport equation. The effects of the instability are handled by making
a relation with the phenomenologically known jet quenching parameter in RHIC
and LHC. Interestingly, the presence of instability significantly affect the
temperature and momentum dependences of the HQ drag and diffusion coefficients.
These results may have appreciable impact on the experimental observables such
as, the nuclear suppression factor, $R_{AA}(p_T)$, and the elliptic flow,
$v_2(p_T)$, of heavy mesons in heavy ion collisions at RHIC and LHC energies
which is a matter of future investigation.
