We investigate the dynamics of classical and quantum correlations between two qubits. Each qubit is implemented by a pair of phosphorous impurities embedded in a silicon substrate. The main decoherence mechanism affecting these types of qubits is provided by the coupling of the phosphorous impurities to the acoustical vibrations of the silicon lattice. We find that depending on the temperature of the substrate and the initial state, three different dynamics can be found. These are characterized by the number of abrupt changes in both classical and quantum correlations. We also show that the correlations do not disappear. Moreover, before the classical correlations reach a constant value, they may experience successive abrupt changes associated with the apparition of metastable pointer states basis. Then, a constant value for the classical correlations is reached when the preferred basis is established.PACS numbers: 03.65. Yz, 03.65.Ud,03.67Lx Recently the study of classical and quantum correlations has become a central subject of investigation. The study of quantum correlations between quantum systems is a problem as old as the quantum theory. For many years, it was widely believed that quantum entanglement would be the only relevant type of correlation for quantum information protocols. However, it has been proved that efficient quantum protocols can be performed in the absence of entanglement [1]. A bipartite quantum system A-B can feature both quantum and classical correlations between its constituent parts A and B, respectively. All these correlations can be characterized by the quantum mutual information [2, 3]where where C(ρ AB ) are the classical correlations [2], [6] defined by the following maximization procedure: A complete set of projector operators {Π k } must be constructed for the subsystem B. Then the quantity C(ρ AB ) = max