  In the framework of the stochastic projected Gross-Pitaevskii equation we
investigate finite-temperature dynamics of a bosonic Josephson junction (BJJ)
formed by a Bose-Einstein condensate of atoms in a two-well trapping potential.
We extract the characteristic properties of the BJJ from the stationary
finite-temperature solutions and compare the dynamics of the system with the
resistively shunted Josephson model. Analyzing the decay dynamics of the
relative population imbalance we estimate the effective normal conductance of
the junction induced by thermal atoms. The calculated normal conductance at
various temperatures is then compared with predictions of the noise-less model
and the model of ballistic transport of thermal atoms.
