Hydrodynamical properties of back reacted thermal plasma with finite ’t Hooft coupling correction

Abstract In this work, holographic approach has been used to analyse the hydrodynamical properties of $$\mathcal {N}=4$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>4</mml:mn> </mml:mrow> </mml:math> Super Yang–Mills thermal plasma with finite ’t Hooft coupling correction and flavour quarks dual to the AdS Gauss–Bonnet gravity in the presence of string cloud. The drag exerted on an external probe quark while translating through the thermal plasma enhances with probe velocity, flavour quark density, temperature and finite coupling correction. The jet quenching parameter gets enhanced on increase of flavour quark density, temperature and finite coupling correction. Quark–antiquark screening length is observed to reduce with rapidity parameter, flavour quark density, finite coupling correction and temperature which suggests an early transition to the thermal plasma phase of QGP. The screening length is found to be larger for the parallel orientation compared to the perpendicular configuration. Finally, the rotational dynamics of the heavy probe quark is studied. The rotational and drag energy loss increases with angular frequency and quark density, but is almost independent of the ’t Hooft coupling.