## Course of theoretical physics: Electrodynemics of continuous media |

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Page 48

This last expression is fonnally identical with the energy of the electrostatic field

of conductors in a vacuum. ... The total

of ...

This last expression is fonnally identical with the energy of the electrostatic field

of conductors in a vacuum. ... The total

**free energy**of a dielectric The total**free****energy**9" (or the total internal energy Q7), as defined in §10, includes the energyof ...

Page 58

For an isotropic (not necessarily homogeneous) body we have by (10.20) 9' — 9'

0 = I(D2/81zs)d V. When s changes, so does the induction, and the variation in

the

term ...

For an isotropic (not necessarily homogeneous) body we have by (10.20) 9' — 9'

0 = I(D2/81zs)d V. When s changes, so does the induction, and the variation in

the

**free energy**is therefore D -6D D2 5 " = _ i .1' I 8% dV Ignaz 6sdV. The firstterm ...

Page 75

This amounts to the condition that the

function of the independent variable D: 5F/6D = E/41: = 0, i.e. the field must be

zero in all space. If it is possible to find a distribution of the induction such that div

D ...

This amounts to the condition that the

**free energy**density F be a minimum as afunction of the independent variable D: 5F/6D = E/41: = 0, i.e. the field must be

zero in all space. If it is possible to find a distribution of the induction such that div

D ...

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angle anisotropy anisotropy energy antiferromagnetic atoms axes axis body boundary conditions calculation charge circuit coefﬁcient coefficients components conductor constant coordinates corresponding cross-section crystal Curie point curl H deﬁned deﬁnition denote dependence derivatives determined dielectric diffraction direction discontinuity dissipation domains electric ﬁeld electromagnetic ﬁeld electrons ellipsoid energy ﬂux expression external ﬁeld external magnetic ﬁeld ferroelectric ferromagnet ﬁeld H ﬁnd ﬁnite ﬁrst ﬁrst term ﬂow ﬂuctuations ﬂuid formula free energy frequency function given gives grad Hence incident induction inﬁnite integral isotropic Landau theory layer linear magnetic ﬁeld magnetohydrodynamics magnetostriction magnitude medium normal obtain optical particle permittivity perpendicular perturbation phase plane polarization PROBLEM propagated properties pyroelectric quantities reﬂection refraction relation respect result rotation satisﬁed scattering shock wave signiﬁcance solution sphere superconducting surface symmetry tangential temperature tensor theory thermodynamic potential transition uniaxial upper half-plane values variable velocity volume wave vector z-axis zero