MANY-PARTICLE PROBLEMS OF THERMAL CONDUCTION IN 2 DIMENSIONS

A general scheme is developed to solve many-particle problems of therm al conduction in two dimensions. Based on the Green's function formali sm, heat sources induced by discontinuity of temperature fields and te mperature potentials on inclusion boundaries are explicitly taken into account, and analytical expressions for temperature distributions in granular systems. ale established. The unknown coefficients in the ana lytical expressions for temperature field are determined by a matrix e quation whose elements are all monomials of the distances between part icle centers. Decomposition of the matrix equation for the systems con taining a chain of particles is discussed. Illustrative calculations a re presented for granular systems with two and three particles.