Entropy flow in a two-component system with periodic geophysical inputs

In a model solar dwelling described elsewhere, the temperature of the interior is controlled with the objective of making that temperature as nearly constant as possible simply by controlling the heat conductance between the heat-storing walls and the interior. This discussion examines the production of entropy in such a system, and how that entropy production is affected by how the control is used. The problem is described by three unknown functions, governed by a system of two nonlinear differential equations plus a variational equation. The functioning of the control appears as a modification of the entropy production and can be measured by an entropy-efficiency defined here. The system analyses the geophysical periodic inputs, solar radiation and terrestrial temperature, by a set of control bits to which belongs a welldefined entropy profile.