# On The Correct Thermo-dynamic Potential for Electro-static Dielectric Energy

@article{Walker2018OnTC, title={On The Correct Thermo-dynamic Potential for Electro-static Dielectric Energy}, author={Shawn W. Walker}, journal={arXiv: Classical Physics}, year={2018} }

Various types of equilibrium processes involve electric fields. In some cases, the electrical energy appears to be negative (e.g. if the voltage is fixed by an external source). This paper explains how to derive the correct thermo-dynamic potential for electro-static phenomena, whether the voltage is fixed, or the charge is fixed, or some combination is fixed. In particular, we explain, in complete detail, why fixing the voltage introduces "a minus sign" in the electrical energy.
Two…

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## References

SHOWING 1-3 OF 3 REFERENCES

### ELECTRIC FIELD EFFECTS NEAR CRITICAL POINTS

- Physics
- 2003

We present a general Ginzburg-Landau theory of electrostatic interactions and electric field effects for the order parameter, the polarization, and the charge density. Electric field effects are then…

### Electrodynamics of continuous media

- Physics
- 1960

Electrostatics of conductors Static magnetic field Superconductivity The propagation of electromagnetic waves Spatial dispersion Diffraction of X rays in crystals.