The real physical phenomena of ‘special’ nodes in a percolation phase transition, obtained from the distribution functions of the Joule heat and the Hall and Seebeck coefficients are considered. The ‘special’ nodes N (p) (the ‘active’ nodes for the Hall and Seebeck coefficients and...

The equilibrium Lame equation in two-dimensional and three-dimensional spaces can be presented as conductivity in magnetic field equation, with Lorenz force expression. This allows us to apply the perturbation theory and generalize the Lame equation, and obtain a new equilibrium equation with...