Murthy, K.P.N.; Rajasekar, S.; Valsakumar, M.C.; Sridhar, V. - In: Physica A: Statistical Mechanics and its Applications 199 (1993) 1, pp. 55-66
We consider random walks, starting at the site i = 1, on a one-dimensional lattice segment with an absorbing boundary at i = 0 and a reflecting boundary at i = L. We find that the typical value of first passage time (FPT) is independent of system size L, while the mean value diverges linearly...