Range of correlations in the size distributions of plant proteins

de Lima, M. M. F.; Nunes, G. H. S.; Fulco, U. L.; Silva, R.; Vasconcelos, M. S.; Anselmo, D. H. A. L.

doi:10.1140/epjp/s13360-023-04764-x

Eur. Phys. J. Plus

2023

DOI: 10.1140/epjp/s13360-023-04764-x

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Range of correlations in the size distributions of plant proteins

M. M. F. de Lima,

G. H. S. Nunes,

U. L. Fulco

et al.

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2024

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Cited by 3 publications

References 64 publications

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An escort replicator dynamic with a continuous action space and its application to resource management

Yoshioka

2024

Chaos, Solitons & Fractals

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An escort replicator dynamic with a continuous action space and its application to resource management

Yoshioka

2024

Chaos, Solitons & Fractals

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Non-gaussian Saha’s ionization in Rindler spacetime and the equivalence principle

Sales,

Carvalho

2024

Eur. Phys. J. C

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We investigate the non-Gaussian effects of the Saha equation in Rindler space via Tsallis statistics. By considering a system with cylindrical geometry, we deduce the non-Gaussian Saha ionization equation for a partially ionized hydrogen plasma that expands with uniform acceleration. We demonstrate conditions for the validity of the equivalence principle within the realms of both Boltzmann–Gibbs and Tsallis statistics. In the non-Gaussian framework, our findings reveal that the effective binding energy exhibits a quadratic dependence on the frame acceleration, in contrast to the linear dependence predicted by Boltzmann–Gibbs statistics. We show that an accelerated observer shall notice a more pronounced effect on the effective binding energy for $$a>0$$ a > 0 and a more attenuated one when $$a<0$$ a < 0 . We also ascertain that an accelerated observer will measure values of q smaller than those measured in the rest frame. Besides, assuming the equivalence principle, we examine the effects of the gravitational field on the photoionization of hydrogen atoms and pair production. We show that both photoionization and pair production are more intensely suppressed in regions with a strong gravitational field in a non-Gaussian context than in the Boltzmann–Gibbs framework. Lastly, constraints on the gravitational field and the electron and positron chemical potentials are derived.

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Superstatistics Applied to Cucurbitaceae DNA Sequences

Costa,

Silva,

de Lima

et al. 2024

Entropy

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The short and long statistical correlations are essential in the genomic sequence. Such correlations are long-range for introns, whereas, for exons, these are short. In this study, we employed superstatistics to investigate correlations and fluctuations in the distribution of nucleotide sequence lengths of the Cucurbitaceae family. We established a time series for exon sizes to probe these correlations and fluctuations. We used data from the National Center for Biotechnology Information (NCBI) gene database to extract the temporal evolution of exon sizes, measured in terms of the number of base pairs (bp). To assess the model’s viability, we utilized a timescale extraction method to determine the statistical properties of our time series, including the local distribution and fluctuations, which provide the exon size distributions based on the q-Gamma and inverse q-Gamma distributions. From the Bayesian statistics standpoint, both distributions are excellent for capturing the correlations and fluctuations from the data.

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Range of correlations in the size distributions of plant proteins

Cited by 3 publications

References 64 publications

An escort replicator dynamic with a continuous action space and its application to resource management

An escort replicator dynamic with a continuous action space and its application to resource management

Non-gaussian Saha’s ionization in Rindler spacetime and the equivalence principle

Superstatistics Applied to Cucurbitaceae DNA Sequences

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