  This work studies the heat equation in a two-phase material with spherical
inclusions. Under some appropriate scaling on the size, volume fraction and
heat capacity of the inclusions, we derive a coupled system of partial
differential equations governing the evolution of the temperature of each phase
at a macroscopic level of description. The coupling terms describing the
exchange of heat between the phases are obtained by using homogenization
techniques originating from [D. Cioranescu, F. Murat: Coll\`ege de France
Seminar vol. 2. (Paris 1979-1980) Res. Notes in Math. vol. 60, pp. 98-138.
Pitman, Boston, London, 1982.]
