What Does It Take to Solve the 3D Ising Model? Minimal Necessary Conditions for a Valid Solution.

Gandhimohan M Viswanathan, Marco Aurelio G Portillo, Ernesto P Raposo, Marcos G E da Luz

Abstract read

In one paragraph

Article in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it

0cells of the map it votes in

1citing papers in PubMed

–field-weighted citation impact

1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

Relevant Analytic Spontaneous Magnetization Relation for the Face-Centered-Cubic Ising Lattice.Entropy (Basel, Switzerland) · 2023
Article

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Gandhimohan M ViswanathanDepartment of Physics, Federal University of Rio Grande do Norte, Natal 59078-970, RN, Brazil.ORCID 0000-0002-2301-5593

Marco Aurelio G PortilloDepartment of Physics, Federal University of Rio Grande do Norte, Natal 59078-970, RN, Brazil.

Ernesto P RaposoLaboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife 50670-901, PE, Brazil.ORCID 0000-0002-4178-8266

Marcos G E da LuzDepartmento de Física, Universidade Federal do Paraná, Curitiba 81531-980, PR, Brazil.

Funding

National Council for Scientific and Technological Development 304532/2019-3, 305062/2017-4 and 302051/2018-0

6 · The paper itself

Abstract

An exact solution of the Ising model on the simple cubic lattice is one of the long-standing open problems in rigorous statistical mechanics. Indeed, it is generally believed that settling it would constitute a methodological breakthrough, fomenting great prospects for further application, similarly to what happened when Lars Onsager solved the two-dimensional model eighty years ago. Hence, there have been many attempts to find analytic expressions for the exact partition function

Indexed as

3D Ising modelexactly solvable models

Identifiers

PMID36421519

DOI10.3390/e24111665

PMCPMC9689490

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LicenceCC BY

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.