By I Prigogine
Advances in Chemical Physics, quantity 127 covers contemporary advances on the innovative of analysis relative to chemical physics. The sequence, Advances in Chemical Physics, offers a discussion board for serious, authoritative reviews of advances in each sector of the self-discipline.
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2) is subtracted from the scalar product of the ﬁeld H and Eq. 1) the following equation is obtained: H · (∇ × E) − E · (∇ × H) = −H · ∂D ∂B −E· −j·E. 51) Noting that the expression on the left is identical to ∇ · (E × H), integrating both sides over space and applying Gauss’s theorem the equation above becomes ∂V (E × H) · n da = − H· V ∂D ∂B +E· + j · E dV . 7). 53) 24 Theoretical foundations − µ0 2 H· V ∂M ∂H −M· dV . ∂t ∂t This equation is a direct conclusion of Maxwell’s equations and therefore has the same validity.
The physical observables are therefore forces, whereas the ﬁelds are deﬁnitions introduced to explain the troublesome phenomenon of the “action at a distance”. Notice that the macroscopic Maxwell’s equations deal with ﬁelds that are local spatial averages over microscopic ﬁelds associated with discrete charges. Hence, the microscopic nature of matter is not included in the macroscopic ﬁelds. Charge and current densities are considered as continuous functions of space. In order to describe the ﬁelds on an atomic scale it is necessary to use the microscopic Maxwell’s equations which consider all matter to be made of charged and uncharged particles.