We have made a numerical study of the effect of thermal fluctuations on Josephson vortex
dynamics in a stack of intrinsic Josephson junctions. Our simulations successfully
reproduced the experimental results such as the field dependence of the critical current, the
noise-rounded current–voltage characteristics and a periodic oscillation of the Josephson
vortex flow resistance. It was confirmed that the oscillation period of the Josephson vortex
flow resistance is related to the modulation of the critical current rather than the vortex
lattice structure. We found that in the dynamic state the triangular vortex lattice becomes
stable independent of the field even at zero temperature. Furthermore, at finite
temperature, a thermally activated disordered vortex flow is observed in a low-bias region
where the Lorentz force is not large enough to induce the collective flow of vortices.