The evolution of the magnetic moment in a corrugated magnetic field.

Chaos (Woodbury, N.Y.) · 1997 · Unclear · Insufficient evidence

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UnclearInsufficient evidencePaper 4096

Study snapshot

PublicationChaos (Woodbury, N.Y.) · 1997

Study typeother

Reported directionUnclear

Evidence ratingInsufficient

Abstract

In the first part, the equations of motion in a weakly corrugated, periodic magnetic field are linearized and solved by using paraxial approximation, to describe the model and the associated resonance condition. In the second part, the nonlinear evolution of the magnetic moment of resonant particles, in connection with their axial displacement is investigated analytically by using the multiple scale method. It is seen that the linear evolution is converted into a slow and periodic oscillation around the unperturbed value, with a considerable amplitude. The analytic expressions for the period and amplitude of the oscillations are derived and compared with the numerical simulations, which are also presented. Finally, the limitations of the paraxial approximation are concluded by investigating the numerical simulations, with actual field expressions. (c) 1997 American Institute of Physics.

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AI evidence extraction

Structured fields below were generated from the paper’s abstract and metadata to make the evidence easier to inspect. Automated extraction may be incomplete or incorrect; verify important details against the original paper.

Study typeother

Effect directionunclear

PopulationNot supplied

Sample sizeNot supplied

ExposureNot supplied

Evidence strengthInsufficientConfidence: 74% · Peer reviewed: yes

Main findings

The paper derives and analyzes linearized and nonlinear equations of motion for particles in a weakly corrugated, periodic magnetic field. It reports that linear evolution converts into a slow, periodic oscillation of the magnetic moment around the unperturbed value with considerable amplitude, and provides analytic expressions for oscillation period and amplitude that are compared with numerical simulations.

Outcomes measured

magnetic moment evolution in a weakly corrugated periodic magnetic field
resonance condition
period and amplitude of magnetic moment oscillations
comparison of analytic expressions with numerical simulations
limitations of paraxial approximation

Limitations

Study appears to be theoretical/analytical with numerical simulations rather than biological/health outcomes
Limitations of the paraxial approximation are discussed based on numerical simulations with actual field expressions

View raw extracted JSON

{
  "study_type": "other",
  "exposure": {
    "band": null,
    "source": null,
    "frequency_mhz": null,
    "sar_wkg": null,
    "duration": null
  },
  "population": null,
  "sample_size": null,
  "outcomes": [
    "magnetic moment evolution in a weakly corrugated periodic magnetic field",
    "resonance condition",
    "period and amplitude of magnetic moment oscillations",
    "comparison of analytic expressions with numerical simulations",
    "limitations of paraxial approximation"
  ],
  "main_findings": "The paper derives and analyzes linearized and nonlinear equations of motion for particles in a weakly corrugated, periodic magnetic field. It reports that linear evolution converts into a slow, periodic oscillation of the magnetic moment around the unperturbed value with considerable amplitude, and provides analytic expressions for oscillation period and amplitude that are compared with numerical simulations.",
  "effect_direction": "unclear",
  "limitations": [
    "Study appears to be theoretical/analytical with numerical simulations rather than biological/health outcomes",
    "Limitations of the paraxial approximation are discussed based on numerical simulations with actual field expressions"
  ],
  "evidence_strength": "insufficient",
  "confidence": 0.74,
  "peer_reviewed_likely": "yes",
  "keywords": [
    "corrugated magnetic field",
    "periodic magnetic field",
    "paraxial approximation",
    "multiple scale method",
    "resonant particles",
    "magnetic moment",
    "nonlinear evolution",
    "numerical simulations"
  ],
  "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: 10.1063/1.166211
PubMed: 12779666

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