This paper is based on ring belt model,through adding nodes to balance energy consumption among rings,which can reduce"hot spot"problem and efficiently prolong network lifetime.

A new theory and the corresponding inter-belt model for phonon dispersion analysis of carbon nanotubes are developed for phonon dispersion analysis of carbon nanotubes based on the symplectic theory and algorithm established in applied mechanics in recent years.

Based on two-band model, the modulated potential function Φ is introduced according to BCS theory phenomenologically.

As the thermal radiation of coating surface on Low E glass is strongly influenced by its spectrum, the nongray band model in diffusing enclosure was used to numerically simulate the surface radiative characteristics of Low E glass in combination with the glass properties of absorptivity and transmissivity.

Bearing in mind the imperfections of computational model for Non gray gases radiation properties, the modification of a revised band model is proposed to take into consideration, the effect of wavelength, temperature, total pressure and ingredients of gases mixture, and Line broadening degree and index band parameters are presented to justify the computer code.

The phenomenon was explained with tunneling theory and flat band model.