131 citations · 962 across the 53 of their papers we have counts for
3 papers · 1 filter
Multi-species pair annihilation reactions
Olivier Deloubriere, Henk Hilhorst, Uwe C. Tauber
We consider diffusion-limited reactions A_i + A_j -> 0 (1 <= i < j <= q) in d space dimensions. For q > 2 and d >= 2 we argue that the asymptotic density decay for such mutual anni…
Repeated bond traversal probabilities for the simple random walk
T. Antal, H. J. Hilhorst, R. K. P. Zia
We consider the average number B_m(t) of bonds traversed exactly m times by a t step simple random walk. We determine B_m(t) explicitly in the scaling limit t -> oo with m/sqrt(t)…
Phase transition in a 2-dimensional Heisenberg model
Henk W. J. Bloete, Wenan Guo, Henk J. Hilhorst
We investigate the two-dimensional classical Heisenberg model with a nonlinear nearest-neighbor interaction V(s,s')=2K[(1+s.s')/2 ]^p. The analogous nonlinear interaction for the X…