Fluctuating local field method for the disordered Ising model Article Swipe
Daria Kuznetsova
,
Grigory V. Astretsov
,
A. N. Rubtsov
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2212.14733
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2212.14733
We present a method for computing thermal properties of classical spin clusters with arbitrarily chosen interactions between spins. For such systems, instability channels are \textit{a priori} not known. The method is based on the Fluctuating Local Field (FLF) approach, the effective description of the system with a nonlinear and fluctuating field, and achieves substantial improvements over mean-field theory. We show that two fluctuating modes are sufficient for numerically accurate solution of systems consisting of two dozen spins, while for larger systems it is needed to account for a larger number of fluctuating modes for a full quantitative agreement with the exact solution.
Related Topics
Concepts
Spins
A priori and a posteriori
Ising spin
Statistical physics
Physics
Nonlinear system
Ising model
Field (mathematics)
Instability
Spin (aerodynamics)
Mean field theory
Thermal
Condensed matter physics
Mathematics
Quantum mechanics
Pure mathematics
Meteorology
Epistemology
Thermodynamics
Philosophy
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2212.14733
- https://arxiv.org/pdf/2212.14733
- OA Status
- green
- References
- 10
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4313447415
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W4313447415Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2212.14733Digital Object Identifier
- Title
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Fluctuating local field method for the disordered Ising modelWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-12-30Full publication date if available
- Authors
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Daria Kuznetsova, Grigory V. Astretsov, A. N. RubtsovList of authors in order
- Landing page
-
https://arxiv.org/abs/2212.14733Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2212.14733Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2212.14733Direct OA link when available
- Concepts
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Spins, A priori and a posteriori, Ising spin, Statistical physics, Physics, Nonlinear system, Ising model, Field (mathematics), Instability, Spin (aerodynamics), Mean field theory, Thermal, Condensed matter physics, Mathematics, Quantum mechanics, Pure mathematics, Meteorology, Epistemology, Thermodynamics, PhilosophyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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| publication_date | 2022-12-30 |
| publication_year | 2022 |
| referenced_works | https://openalex.org/W2539222573, https://openalex.org/W2611378291, https://openalex.org/W3023745641, https://openalex.org/W3139403080, https://openalex.org/W2767459105, https://openalex.org/W2763130269, https://openalex.org/W2979928460, https://openalex.org/W2611054503, https://openalex.org/W331159102, https://openalex.org/W4305034295 |
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