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Electric diffusion in cylindrical conductors from an extended irreversible thermodynamics perspective

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  • Silveira, F.E.M.

Abstract

Inertial effects on electric diffusion are explored in cylindrical conductors at the quasi-static limit. Such effects are described by introducing a finite relaxation time for the current density. When the electric field penetrates deeply into the conductor, it is shown that the surface inductance attains a minimum, Lm, if the radius of the cylinder acquires a critical value, ac. The proposed formulation is applied to aluminum at room temperature, and it is found that Lm∼22.1fH for ac∼35.1nm. This shows that inertial effects should be important at the nanoscale. The results presented here may be relevant for investigations in nanophotonics.

Suggested Citation

  • Silveira, F.E.M., 2013. "Electric diffusion in cylindrical conductors from an extended irreversible thermodynamics perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1818-1827.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:8:p:1818-1827
    DOI: 10.1016/j.physa.2012.11.018
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