2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/28084Damage spreading for 2D Ising cluster dynamics is investigated numerically by using random numbers in a way that conforms with the notion of submitting the two evolving replicas to the same thermal noise. Two damage spreading transitions are found; damage does not spread either at low or high temperatures. We determine the critical exponents at the high-temperature transition point, which seem consistent with directed percolation.revtex, 8 pages, including 5 postscript figuresStatistical Mechanicstext