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Mappings between reaction–diffusion and kinetically constrained systems:<i>A</i>+<i>A</i>↔<i>A</i>and the Fredrickson–Andersen model have upper critical dimension<i>d</i><sub>c</sub>= 2
We present an exact mapping between two simple spin models: the Fredrickson-Andersen (FA) model and a model of annihilating random walks with spontaneous creation from the vacuum, A+A <-> 0. We discuss the geometric structure of the mapping and its consequences for symmetries of the models. Hence we are able …