  We study a stochastic model for the self-controlled particle-deposition
process induced by optical near-fields. This process was experimentally
realized by Yukutake et al. on an electrode of a novel photovoltaic device as
Ag deposition under light illumination, in which the wavelength of incident
light is longer than the long-wavelength cutoff of the materials composing the
device. Naruse et al. introduced a stochastic cellular automaton model to
simulate underlying nonequilibrium processes which are necessary to formulate
unique granular Ag film in this deposition process. In the present paper, we
generalize their model and clarify the essential role of optical near-fields
generated on the electrode surface. We introduce a parameter $b$ indicating the
incident light power per site and a function representing the resonance effect
of optical near-fields depending on the Ag-cluster size on the surface.
Numerical simulation shows a transition from a trivial particle-deposition
state to a nontrivial self-controlled particle-deposition state at a critical
value $b_{\rm c}$, and only in the latter state optical near-fields are
effectively generated. The properties of transition in this mesoscopic surface
model in nonequilibrium are studied by the analogy of equilibrium phase
transitions associated with critical phenomena, and the criteria of transition
are reported.
