Evidence map›Paper›PMID 33602947›Full record

ArticleNature communications2021

Thermodynamics of structure-forming systems.

Jan Korbel, Simon David Lindner, Rudolf Hanel, Stefan Thurner

Abstract read
In one paragraph

Article in Nature communications, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.

0numbers the graph read from it
0cells of the map it votes in
5citing 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

5 citing papers in PubMed.

  1. Article
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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.

Jan KorbelSection for the Science of Complex Systems, CeMSIIS, Medical University of Vienna, Vienna, Austria.ORCID http://orcid.org/0000-0002-5371-5320
Simon David LindnerSection for the Science of Complex Systems, CeMSIIS, Medical University of Vienna, Vienna, Austria.
Rudolf HanelSection for the Science of Complex Systems, CeMSIIS, Medical University of Vienna, Vienna, Austria.
Stefan ThurnerSection for the Science of Complex Systems, CeMSIIS, Medical University of Vienna, Vienna, Austria. stefan.thurner@meduniwien.ac.at.ORCID http://orcid.org/0000-0003-2495-6819

Funding

Austrian Science Fund (Fonds zur Förderung der Wissenschaftlichen Forschung) I 3073Austrian Science Fund (Fonds zur Förderung der Wissenschaftlichen Forschung) P 29252Österreichische Forschungsförderungsgesellschaft (Austrian Research Promotion Agency) 857136
6 · The paper itself

Abstract

Structure-forming systems are ubiquitous in nature, ranging from atoms building molecules to self-assembly of colloidal amphibolic particles. The understanding of the underlying thermodynamics of such systems remains an important problem. Here, we derive the entropy for structure-forming systems that differs from Boltzmann-Gibbs entropy by a term that explicitly captures clustered states. For large systems and low concentrations the approach is equivalent to the grand-canonical ensemble; for small systems we find significant deviations. We derive the detailed fluctuation theorem and Crooks' work fluctuation theorem for structure-forming systems. The connection to the theory of particle self-assembly is discussed. We apply the results to several physical systems. We present the phase diagram for patchy particles described by the Kern-Frenkel potential. We show that the Curie-Weiss model with molecule structures exhibits a first-order phase transition.

Identifiers

PMID33602947
PMCPMC7893045

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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.