Distribution of Nanomachines over Nano-networks

Molecular Communication is a new vertical in the modern communication system in which molecules are used in exchange of information. As the information molecules travel from transmitter to receiver through the diffusion process, they undergo various impairments. However, molecular density or in turn total number of received molecules ensure faithful communication. On the other hand, the molecular density is a probabilistic quantity and given by probability density function (PDF). In literature, various PDFs are used to quantify the molecular density and number of received molecules. In sequence, this paper presents molecular density under different PDFs. It is noteworthy to mention that the Levy distribution is the most stable function to represent particles in the Brownian motion. Whereas IG distribution is generic in nature. In particular, we have considered Inverse Gaussian (IG) distribution and Levy distribution function to evaluate the molecular density under different scenarios. The simulation shows perfect agreement with the theoretical background.