We examine the mean first passage time for a particle driven by highlycorrelated Gaussian fluctuations to reach one or more predetermined boundaries.We discuss a numerical algorithm to generate power-law correlated fluctuationsand apply these to three physical examples. One is the arrival of a freeparticle at either end of an interval. The second is the decay of a particlefrom an unstable state. The third is the time for a particle to cross a barrierseparating one well from another in a double well potential. In each case acomparison with the first passage time for a particle driven by Gaussian whitenoise is presented, as is an analysis of the dependence of the first passagetime properties on the correlated noise parameters.
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