Mathematical P roperties of Thermodynamic Automata Guido Cosenza
نویسندگان
چکیده
A bstract . This pap er concern s the study of some mathemati cal proper t ies of Thermodyn amic Au tomata . In the pr esen t pap er , t he govern ing lineari zed differenti al equat ionsfor which a rigorous trea tment is po ssibl eare studied . The driving terms are assumed period ic and t he controls are assumed piecewise const ant . T he explicit solut ion is found in the most general case with an arbit rary num ber of compartments composing t he Thermodynamic Automaton and it is show n to be period ic wit h the same per iod of the dri ving terms. This property allows the derivation of interesting rela tionship s among the time averages of the temperatures. Mor eover , kn owledge of t he solut ions enables proof that the trilinear system presented here an d a bilinear system of equations in troduced in a pr ecedin g pap er are equivalent.
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