Gibbs energy of dielectrics

Gibbs energy of the system with a dielectric medium can be expressed using the Helmholtz free energy and the electric displacement and field strength.

Conditions:

1. The dielectric is isotropic whether or not the electric field is present.

2. The medium is homogeneous.

3. The volume change of the medium is insignificant.

Links:

1. Formula 31.4 on p. 122 of “General Course of Physics” (Obschiy kurs fiziki), vol. 3 by Sivukhin D.V. (1979).

gibbs_energy_density

gibbs_energy of the system per unit volume.

Symbol:

G

Latex:

\(G\)

Dimension:

energy/volume

free_energy_density

helmholtz_free_energy of the system per units volume.

Symbol:

F

Latex:

\(F\)

Dimension:

energy/volume

electric_field_strength

electric_field_strength in the medium.

Symbol:

E

Latex:

\(E\)

Dimension:

voltage/length

electric_displacement

electric_displacement in the medium.

Symbol:

D

Latex:

\(D\)

Dimension:

charge/area

law

G = F - E * D

Latex:

\[G = F - E D\]