Transient nonlinear dielectric relaxation and dynamic Kerr effect from sudden changes of a strong dc electric field: polar and polarizable molecules.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1999 · Unclear · Insufficient evidence

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UnclearInsufficient evidencePaper 4028

Study snapshot

PublicationPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1999

Study typeother

Reported directionUnclear

Evidence ratingInsufficient

Abstract

The nonlinear transient response of polar and polarizable particles (macromolecules) diluted in a nonpolar solvent to a sudden change both in magnitude and in direction of a strong external dc field is considered. By averaging the underlying Langevin equation, the infinite hierarchy of differential-recurrence equations for ensemble averages of the spherical harmonics is derived for an assembly of polar and anisotropically polarizable molecules pertaining to the noninertial rotational Brownian motion. On solving this hierarchy, the relaxation functions and relaxation times appropriate to the transient dynamic Kerr effect and nonlinear dielectric relaxation are calculated. The calculations are accomplished using the matrix continued fraction method, which allows us to express exactly the solution of the infinite hierarchy of differential-recurrence relations for the first- and second-order transient responses of the ensemble averages of the spherical harmonics (relaxation functions). The results are then compared with available experimental data and solutions previously obtained for various particular cases.

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Study typeother

Effect directionunclear

PopulationNot supplied

Sample sizeNot supplied

ExposureNot supplied

Evidence strengthInsufficientConfidence: 74% · Peer reviewed: yes

Main findings

A theoretical framework (Langevin equation averaged to an infinite hierarchy of differential-recurrence equations) is solved using a matrix continued fraction method to calculate relaxation functions and relaxation times for transient dynamic Kerr effect and nonlinear dielectric relaxation after sudden changes in magnitude/direction of a strong DC field. Results are compared with available experimental data and with previously obtained solutions for particular cases.

Outcomes measured

transient dynamic Kerr effect
nonlinear dielectric relaxation
relaxation functions
relaxation times

Limitations

Appears to be primarily theoretical/modeling work; experimental details and quantitative comparisons are not provided in the abstract.
No biological/health outcomes are described.

View raw extracted JSON

{
  "study_type": "other",
  "exposure": {
    "band": null,
    "source": "strong external dc field",
    "frequency_mhz": null,
    "sar_wkg": null,
    "duration": null
  },
  "population": null,
  "sample_size": null,
  "outcomes": [
    "transient dynamic Kerr effect",
    "nonlinear dielectric relaxation",
    "relaxation functions",
    "relaxation times"
  ],
  "main_findings": "A theoretical framework (Langevin equation averaged to an infinite hierarchy of differential-recurrence equations) is solved using a matrix continued fraction method to calculate relaxation functions and relaxation times for transient dynamic Kerr effect and nonlinear dielectric relaxation after sudden changes in magnitude/direction of a strong DC field. Results are compared with available experimental data and with previously obtained solutions for particular cases.",
  "effect_direction": "unclear",
  "limitations": [
    "Appears to be primarily theoretical/modeling work; experimental details and quantitative comparisons are not provided in the abstract.",
    "No biological/health outcomes are described."
  ],
  "evidence_strength": "insufficient",
  "confidence": 0.74,
  "peer_reviewed_likely": "yes",
  "keywords": [
    "dc electric field",
    "nonlinear transient response",
    "Kerr effect",
    "dielectric relaxation",
    "Langevin equation",
    "rotational Brownian motion",
    "matrix continued fraction",
    "polar molecules",
    "anisotropic polarizability"
  ],
  "suggested_hubs": []
}

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AI-extracted fields are generated from the abstract and metadata and may be incomplete or incorrect. This material is for informational purposes and is not medical advice.

Identifiers and source

DOI: 10.1103/physreve.60.1475
PubMed: 11969906

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