Quantifying dielectric permittivities in the nonlinear regime

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6 Scopus citations


In contrast to the static dielectric permittivity, ϵ, associated with linear response, its high-field counterpart, ϵ E , is not a material specific quantity, but rather depends on the experimental method used to determine the nonlinear dielectric effect (NDE). Here, we define ϵ E in a manner consistent with how high field permittivities are typically derived from a capacitance measurement using high voltages. Based upon characterizing the materials nonlinear behavior via its third order susceptibility, χ 3, the relations between a given χ 3 and the observable ϵ E is calculated for six different experimental or theoretical approaches to NDEs in the static limit. It is argued that the quantity χ 3 is superior over ϵ E or the Piekara factor, (ϵ E - ϵ)/E 2, because it facilitates an unambiguous comparison among different experimental techniques and it provides a more robust connection between experiment and theory.

Original languageEnglish (US)
Article number385101
JournalJournal of Physics Condensed Matter
Issue number38
StatePublished - Sep 2021


  • Piekara factor
  • high electric fields
  • nonlinear dielectric effects
  • supercooled liquids

ASJC Scopus subject areas

  • General Materials Science
  • Condensed Matter Physics


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