Ion-beam mixing of immiscible alloys is viewed as a competing dynamic proce
ss, where irradiation-induced mixing opposes thermal decomposition. The ext
ernal perturbation drives the system away from equilibrium, and in the long
-time regime the system can exhibit phase and microstructural modifications
. Due to the nonequilibrium nature of the process, the steady state depends
explicitly on the details of the interplay between irradiation and the int
ernal kinetics of the alloy. In particular, we have recently developed a co
ntinuum model that takes into account the finite range of atomic relocation
s during collision cascades [R. A. Enrique and P. Bellon, Phys. Rev. Lett.
84, 2885 (2000)]. Using this model, we have shown that self-organized compo
sitional patterns can spontaneously appear if the range of atomic relocatio
ns is large enough, and we have introduced a dynamical phase diagram descri
bing the steady state regimes as a function of the forcing and material par
ameters. In this paper we follow up with the analysis of the continuum mode
l, and we consider the problem of fluctuations. In order to study the pheno
menology and test the predictions, we perform kinetic Monte Carlo simulatio
ns of an immiscible binary alloy undergoing finite-range atomic relocations
. The simulations show that compositional patterns at the nanometer scale c
an indeed be stabilized, and that the behavior of those patterns as a funct
ion of the control parameters can be suitably described by our continuum mo
del, and previous theory of fluctuations in driven alloys. The results corr
oborate the idea that irradiation can be used as a processing tool to synth
esize nanostructures.