[SY-L2] Statistical models for cross slip and reaction rate processes in continuum dislocation dynamics
We tackle the question of temporal coarse graining in dislocation dynamics with a special attention to cross slip and dislocation reaction rates. The time series approach was used to analyze the statistical properties of these processes from discrete dislocation dynamics. The statistical data required to perform this analysis is obtained using the method of dislocation dynamics simulation. The temporal correlations and correlation times of cross-slip and short-range reactions were computed. The correlation time was used as a coarse graining time-scale in continuum dislocation dynamics. Using this mesoscopic time-scale, a coarse grained stochastic representation of cross slip and dislocation reactions has been achieved and implemented in continuum dislocation dynamics. We compare the performance of two discrete dislocation dynamics approaches, the microMegas model and ParaDiS, on the results of the coarse grained cross slip and junction formation rates, and, in turn, on the dislocation microstructure predicted by continuum dislocation dynamics.