Method for the production of a compound used for the manufacture of an article made of rubber or of a pneumatic tyre by means of an apparatus comprising a continuous mixer having a section (MS) for mixing the components of the compound being processed, a reaction section (RS) located downstream of the mixing section (MS) and provided with heating means and a cooling section (CS) located downstream of the reaction section (RS) and provided with means for the cooling of the compound being processed; wherein said mixing, reaction and cooling sections (MS, RS, CS) are arranged in succession one after another with structural continuity in such a way that the respective inner chambers are physically and seamlessly connected; the method comprising: - a first step of supplying the components of the compound to the continuous mixer ; - a step of continuously mixing the components of the compound being processed carried out at a reference temperature (T ref ); - a first reaction step, subsequent to the mixing step, performed at a reaction temperature (T react ) that is greater than the reference temperature (T ref ) in such a way as to activate a mild reaction of the compound being processed; wherein the difference between the reaction temperature (T react ) and the reference temperature (T ref ) is between 5°C and 45°C; preferably, the difference between the reaction temperature (T react ) and the reference temperature (T ref ) is between 15°C and 45°C and - a cooling step, subsequent to the reaction step, performed at a cooling temperature (T cool ) that is lower than the reaction temperature (T react ), in order to prevent further development of the reaction that takes place during the reaction step; wherein the difference between the cooling temperature (T cool ) and the reaction temperature (T react ) is between 15°C and 45°C; preferably, the difference between the cooling temperature (T cool ) and the reaction temperature (T react ) is between 20°C and 40°C. - a first step of supplying the components of the compound to the continuous mixer ; - a step of continuously mixing the components of the compound being processed carried out at a reference temperature (T ref ); - a first reaction step, subsequent to the mixing step, performed at a reaction temperature (T react ) that is greater than the reference temperature (T ref ) in such a way as to activate a mild reaction of the compound being processed; wherein the difference between the reaction temperature (T react ) and the reference temperature (T ref ) is between 5°C and 45°C; preferably, the difference between the reaction temperature (T react ) and the reference temperature (T ref ) is between 15°C and 45°C and - a cooling step, subsequent to the reaction step, performed at a cooling temperature (T cool ) that is lower than the reaction temperature (T react ), in order to prevent further development of the reaction that takes place during the reaction step; wherein the difference between the cooling temperature (T cool ) and the reaction temperature (T react ) is between 15°C and 45°C; preferably, the difference between the cooling temperature (T cool ) and the reaction temperature (T react ) is between 20°C and 40°C. <EOS>