Formation of the thymine dimer is one of the most important types of photochemical damage in DNA, responsible for several biological pathologies. Though specifically designed proteins (photolyases) can efficiently repair this type of damage in living cells, an autocatalytic activity of the DNA itself was recently discovered, allowing for a self-repair mechanism. In this paper, we provide the first molecular dynamics study of the splitting of thymine dimer radical anions, using a quantum mechanical/molecular mechanics (QM/MM) approach based on density functional theory (DFT) to describe the quantum region. A set of seven statistically representative molecular dynamics trajectories is analyzed. Our calculations predict an asynchronously concerted process in which C5-C5' bond breaking is barrierless while C6-C6' bond breaking is characterized by a small free energy barrier. An upper bound of 2.5 kcal/mol for this barrier is estimated. Moreover, the molecular dynamics study and the low free energy barrier involved in C6-C6' bond breaking characterize the full process as being an ultrafast reaction.