Dissipation and ﬂuctuations of one-body observables in heavy-ion reactions around the Coulomb barrier are investigated with a microscopic stochastic mean-ﬁeld approach. By projecting the stochastic meanﬁeld dynamics on a suitable collective path, transport coeﬃcients associated with the relative distance between colliding nuclei and a fragment mass are extracted. Although microscopic mean-ﬁeld approach is know to underestimate the variance of fragment mass distribution, the description of the variance is much improved by the stochastic mean-ﬁeld method. While ﬂuctuations are consistent with the empirical (semiclassical) analysis of the experimental data, concerning mean values of macroscopic variables the semiclassical description breaks down below the Coulomb barrier
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