  We study the stochastic nature of switching current in hysteretic
current-voltage characteristics of superconductor-graphene-superconductor (SGS)
junctions. We find that the dispersion of the switching current distribution
scales with temperature as a power law with the power close to 1/3. This
observation is in sharp contrast with the known Josephson junction behavior
where switching current dispersion is expected to scale with the power 2/3. We
propose an explanation using a generalized version of Kurkijarvi's theory for
the flux stability in rf-SQUID and attribute this anomalous effect to the
temperature dependence of the critical current which persists down to low
temperatures.
