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Phase diagrams of classical spin fluids: the influence of an external magnetic field on the liquid-gas transition.

Physical review. E, Statistical, nonlinear, and soft matter physics · 2003 · Unclear · Insufficient evidence

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UnclearInsufficient evidencePaper 3736

Using modified mean field theory and Gibbs ensemble Monte Carlo simulations, the study reports that the theory reproduces characteristic features of the magnetic-field dependence of the critical temperature Tc(H) for Ising, XY, and Heisenberg spin fluid model…

Study snapshot

PublicationPhysical review. E, Statistical, nonlinear, and soft matter physics · 2003
Study typeother
Reported directionUnclear
Evidence ratingInsufficient

Abstract

The influence of an external magnetic field on the liquid-gas phase transition in Ising, XY, and Heisenberg spin fluid models is studied using a modified mean field theory and Gibbs ensemble Monte Carlo simulations. It is demonstrated that the theory is able to reproduce quantitatively all characteristic features of the field dependence of the critical temperature T(c)(H) for all the three models. These features include a monotonic decrease of T(c) with rising H in the case of the Ising fluid as well as a more complicated nonmonotonic behavior for the XY and Heisenberg models. The nonmonotonicity consists in a decrease of T(c) with increasing H at weak external fields, an increase of T(c) with rising H in the strong field regime, and the existence of a minimum in T(c)(H) at intermediate values of H. Analytical expressions for T(c)(H) in the large field limit are presented as well. The paramagnetic-ferromagnetic phase transition is also considered in simulations and described within the mean field theory.

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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

Using modified mean field theory and Gibbs ensemble Monte Carlo simulations, the study reports that the theory reproduces characteristic features of the magnetic-field dependence of the critical temperature Tc(H) for Ising, XY, and Heisenberg spin fluid models. Tc decreases monotonically with increasing field H for the Ising fluid, while XY and Heisenberg models show nonmonotonic Tc(H) with a minimum at intermediate H; analytical expressions for Tc(H) in the large-field limit are presented.

Outcomes measured

  • Field dependence of critical temperature Tc(H) for liquid-gas phase transition in Ising, XY, and Heisenberg spin fluid models
  • Paramagnetic-ferromagnetic phase transition behavior (simulations and mean field theory)

Limitations

  • No details provided in the abstract on magnetic field strength units/range or exposure characterization beyond 'external magnetic field'
  • Modeling/simulation study in classical spin fluid models; no biological/health outcomes described
  • No sample size or simulation parameters reported in the abstract
View raw extracted JSON
{
  "study_type": "other",
  "exposure": {
    "band": null,
    "source": "external magnetic field",
    "frequency_mhz": null,
    "sar_wkg": null,
    "duration": null
  },
  "population": null,
  "sample_size": null,
  "outcomes": [
    "Field dependence of critical temperature Tc(H) for liquid-gas phase transition in Ising, XY, and Heisenberg spin fluid models",
    "Paramagnetic-ferromagnetic phase transition behavior (simulations and mean field theory)"
  ],
  "main_findings": "Using modified mean field theory and Gibbs ensemble Monte Carlo simulations, the study reports that the theory reproduces characteristic features of the magnetic-field dependence of the critical temperature Tc(H) for Ising, XY, and Heisenberg spin fluid models. Tc decreases monotonically with increasing field H for the Ising fluid, while XY and Heisenberg models show nonmonotonic Tc(H) with a minimum at intermediate H; analytical expressions for Tc(H) in the large-field limit are presented.",
  "effect_direction": "unclear",
  "limitations": [
    "No details provided in the abstract on magnetic field strength units/range or exposure characterization beyond 'external magnetic field'",
    "Modeling/simulation study in classical spin fluid models; no biological/health outcomes described",
    "No sample size or simulation parameters reported in the abstract"
  ],
  "evidence_strength": "insufficient",
  "confidence": 0.74,
  "peer_reviewed_likely": "yes",
  "keywords": [
    "external magnetic field",
    "liquid-gas phase transition",
    "critical temperature",
    "Ising model",
    "XY model",
    "Heisenberg model",
    "mean field theory",
    "Gibbs ensemble Monte Carlo",
    "paramagnetic-ferromagnetic transition"
  ],
  "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.68.061510
PubMed: 14754215

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