The random walk simulation, being inherently time-dependent, enables visualization of concentration evolution upon biasing both electrodes (i.e., starting with only Figure presents particle distribution snapshots at different time points, and Figure shows concentration-time traces averaged over the area between the two electrodes. Upon initiating the electrochemical reactions, the (reaction 1) and oxidized (reaction 2), forming equal 0.5 the center of the nanochannel for reaction (3) to proceed. This delay aligns well with the estimated diffusion time across half the channel, 50 nm)2/(2D) 1.25 µs. Concentrations reach steady state after approximately 2 µs, corresponding to the diffusion time across the full channel width, (100 nm) 2 /(2D) 5 remains consistently lower than that of other ions due to its In Figure , the number of photons generated over time is shown. Photon intensity begins to stabilize after about 1.5 µs, combining the diffusion time (~0.5 µs) and the radiphotons escape the channel instantaneously upon generation, their numbers remain low, and the intensity-time traces exhibit considerable noise, reflecting the stochastic behavior of a small number of molecules in nanoscale confinement.