Skip to content
DraconiticResearch
Search Sources API
186,086 studies31 sourcesUpdated 4 min ago
PreprintarXiv licencearXiv

Effects of on-site Gaussian disorder in the ferromagnetic Blume Capel model

  • Kimberly J. Silverman
  • Daria Lhommedieu
  • Alykhan Rajan
  • Kathryn A. Cooper
  • Richard T. Scalettar
  • Eduardo Ibarra-García-Padilla
Open at sourcePDFDOICite

Abstract

We conduct a numerical study of a generalization of the Blume-Capel model in which the crystal field Di, which controls the local vacancy density, is site dependent rather than uniform. We employ Markov Chain Monte Carlo to compute the shifted phase transition line Tc as a function of the width σ of a gaussian distribution P(Di) ∼ exp( −(Di − D̅)2/2 σ2) at fixed D̅. We characterize how the presence of this on-site Gaussian disorder reduces Tc across the second order transition line, and discuss how our results suggest that Tc remains finite even at large values of σ. We also determine the effects of disorder on the tricritical point of the conventional, uniform, Blume-Capel model, finding that it significantly suppresses the first-order phase transition, eliminating it entirely at large values of σ.

Related

  1. The Blume-Capel Model as a ϕ6 Field Theory: A Monte Carlo and Flow Model Study
    Ejaaz Merali, Ryan Larson, Ehsan Khatami +1
    arXivPreprintCC BY 4.0Full textCondensed matterHigh-energy & particle physicsarXiv
  2. The Lee-Yang property of the Blume-Capel model
    Yuri Kozitsky, Yurij Holovatch
    arXivPreprintarXiv licenceFull textMathematical physicsStatistical & nonlinear physicsarXiv
  3. Glauber dynamics phase transitions in athermal random field Blume-Capel and Blume-Emery-Griffiths models
    Sumedha, Aldrin B E
    arXivPreprintCC BY 4.0Full textCondensed matterStatistical & nonlinear physicsarXiv
  4. Phase diagram and transition properties of the Blume-Capel model: A Monte Carlo study
    Tenglong Li, Zhigang Feng, Jie Zhang
    arXivPreprintCC BY 4.0Full textAtomic, molecular & optical physicsCondensed matterarXiv
  5. Phase separation and correlations between itinerant defects in a constrained Blume-Capel model using Grassmann techniques
    Jean-Yves Fortin
    Physica A: Statistical Mechanics and its ApplicationsPeer-reviewedCC BY 4.0Full textCondensed matterStatistical & nonlinear physicsHAL

Cite

BibTeXRIS
BibTeX
@misc{silverman2026effects,
  title = {{Effects of on-site Gaussian disorder in the ferromagnetic Blume Capel model}},
  author = {Kimberly J. Silverman and Daria Lhommedieu and Alykhan Rajan and Kathryn A. Cooper and Richard T. Scalettar and Eduardo Ibarra-García-Padilla},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01090},
  eprint = {2610.01090},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01090},
}
RIS
TY  - UNPB
TI  - Effects of on-site Gaussian disorder in the ferromagnetic Blume Capel model
AU  - Kimberly J. Silverman
AU  - Daria Lhommedieu
AU  - Alykhan Rajan
AU  - Kathryn A. Cooper
AU  - Richard T. Scalettar
AU  - Eduardo Ibarra-García-Padilla
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.01090
UR  - https://arxiv.org/abs/2610.01090
AB  - We conduct a numerical study of a generalization of the Blume-Capel model in which the crystal field D_i, which controls the local vacancy density, is site dependent rather than uniform. We employ Markov Chain Monte Carlo to compute the shifted phase transition line T_c as a function of the width σ of a gaussian distribution P(D_i) ∼ exp( −(D_i − D̅)^2/2 σ^2) at fixed D̅. We characterize how the presence of this on-site Gaussian disorder reduces T_c across the second order transition line, and discuss how our results suggest that T_c remains finite even at large values of σ. We also determine the effects of disorder on the tricritical point of the conventional, uniform, Blume-Capel model, finding that it significantly suppresses the first-order phase transition, eliminating it entirely at large values of σ.
ER  -