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In recent experiments, the relaxation dynamics of highly oblate, turbulentBose-Einstein condensates (BECs) was investigated by measuring the vortex decayrates in various sample conditions [Phys. Rev. A $\bf 90$, 063627 (2014)] and,separately, the thermal friction coefficient $\alpha$ for vortex motion wasmeasured from the long-time evolution of a corotating vortex pair in a BEC[Phys. Rev. A $\bf 92$, 051601(R) (2015)]. We present a comparative analysis ofthe experimental results, and find that the vortex decay rate $\Gamma$ isalmost linearly proportional to $\alpha$. We perform numerical simulations ofthe time evolution of a turbulent BEC using a point-vortex model equipped withlongitudinal friction and vortex-antivortex pair annihilation, and observe thatthe linear dependence of $\Gamma$ on $\alpha$ is quantitatively accounted forin the dissipative point-vortex model. The numerical simulations reveal thatthermal friction in the experiment was too strong to allow for the emergence ofa vortex-clustered state out of decaying turbulence.

Role of thermal friction in relaxation of turbulent Bose-Einstein condensates