Temperature is one of the extremely significant factors which is responsible for modifications mostly in physical but also in chemical properties of some particular matter. In present study, we carried out theoretical analysis of thermo-responsive behavior of Ag-p (N-isopropylmethacrylamide) hybrid microgels. We employed the classical Maxwellian distribution function with respect to the velocity of spherical silver nanoparticles inside the microgel’s network. The behavior of distribution function relative to the temperature represents that the distribution function still obeys the Maxwell-Boltzmann law even at low temperatures. Further, the diffusion coefficient, probability density, surface tension and surface energy of silver nano-particles are numerically evaluated and then graphically illustrated.