T. Halpinhealy et D. Herbert, DISTURBING THE RANDOM-ENERGY LANDSCAPE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(3), 1993, pp. 180001617-180001619
We examine the effects of correlated perturbations upon globally optim
al paths through a random-energy landscape. Motivated by Zhang's early
numerical investigations [Phys. Rev. Lett. 59, 2125 (1987)] into grou
nd-state instabilities of disordered systems, as well as the work of S
hapir [Phys. Rev. Lett. 66, 1473 (199 1)] on random perturbations of r
oughened manifolds, we have studied the specific case of random bond i
nterfaces unsettled by small random fields, confirming recent predicti
ons for the instability exponents. Implications for disordered magnets
and growing surfaces are discussed.