Evidence map›Paper›PMID 39202143›Full record

ArticleEntropy (Basel, Switzerland)2024

Generalized Kinetic Equations with Fractional Time-Derivative and Nonlinear Diffusion: H-Theorem and Entropy.

Ervin K Lenzi, Michely P Rosseto, Derik W Gryczak, Luiz R Evangelista, Luciano R da Silva, Marcelo K Lenzi, Rafael S Zola

Abstract read
In one paragraph

Article in Entropy (Basel, Switzerland), 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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

0 citing papers in PubMed.

No citing paper in PubMed yet.

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

7 authors.

Ervin K LenziDepartamento de Física, Universidade Estadual de Ponta Grossa, Ponta Grossa 84030-900, PR, Brazil.ORCID 0000-0003-3853-1790
Michely P RossetoDepartamento de Física, Universidade Estadual de Ponta Grossa, Ponta Grossa 84030-900, PR, Brazil.ORCID 0000-0001-6158-3068
Derik W GryczakIndependent Researcher, Irati 84507-012, PR, Brazil.ORCID 0000-0002-5883-6404
Luiz R EvangelistaDepartamento de Física, Universidade Estadual de Maringá, Maringá 87020-900, PR, Brazil.ORCID 0000-0001-7202-1386
Luciano R da SilvaNational Institute of Science and Technology for Complex Systems, Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro 22290-180, RJ, Brazil.ORCID 0000-0002-6875-1965
Marcelo K LenziDepartamento de Engenharia Química, Universidade Federal do Paraná, Curitiba 80060-000, PR, Brazil.ORCID 0000-0002-0103-9017
Rafael S ZolaDepartment of Physics, Universidade Tecnológica Federal do Paraná, Apucarana 86812-460, PR, Brazil.ORCID 0000-0003-4930-5262

Funding

CNPq 301715/2022-0CNPq 304634/2020-4CNPq 465259/2014-6FAPESP 2014/50983-3
6 · The paper itself

Abstract

We investigate the H-theorem for a class of generalized kinetic equations with fractional time-derivative, hyperbolic term, and nonlinear diffusion. When the H-theorem is satisfied, we demonstrate that different entropic forms may emerge due to the equation's nonlinearity. We obtain the entropy production related to these entropies and show that its form remains invariant. Furthermore, we investigate some behaviors for these equations from both numerical and analytical perspectives, showing a large class of behaviors connected with anomalous diffusion and their effects on entropy.

Indexed as

anomalous diffusionentropyH-theoremnonlinear diffusion

Identifiers

PMID39202143
PMCPMC11354171

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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.