The influence of a magnetic field on Shannon entropy and thermal properties in graphene

A. R.P. Moreira; P. O. Amadi; R. Horchani; A. N. Ikot; F. Ahmed

doi:10.1016/j.cjph.2024.03.028

The influence of a magnetic field on Shannon entropy and thermal properties in graphene

A. R.P. Moreira^*, P. O. Amadi, R. Horchani, A. N. Ikot, F. Ahmed

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We conducted an investigation into the impact of an external magnetic field on graphene under two proposed conditions: a constant magnetic field (ω), and a field characterized by exponential decay (μ). The resulting eigenvalue solutions were utilized to analyze the Shannon entropy of low-lying states and thermodynamic properties. Regarding Shannon entropy, we observed that both conditions led to increased fermion localization in position space and delocalization in momentum space. Furthermore, we calculated the BBM entropic uncertainty relation and confirmed its validity in one dimension. As for the thermodynamic properties, we found that augmenting the influence of the magnetic fields altered their respective behaviors.

Original language	English
Pages (from-to)	366-377
Number of pages	12
Journal	Chinese Journal of Physics
Volume	89
DOIs	https://doi.org/10.1016/j.cjph.2024.03.028
Publication status	Published - Jun 1 2024
Externally published	Yes

Keywords

BBM uncertainty relation
Graphene
Magnetic field
Shannon entropy
Thermodynamic properties

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.cjph.2024.03.028

Cite this

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title = "The influence of a magnetic field on Shannon entropy and thermal properties in graphene",

abstract = "We conducted an investigation into the impact of an external magnetic field on graphene under two proposed conditions: a constant magnetic field (ω), and a field characterized by exponential decay (μ). The resulting eigenvalue solutions were utilized to analyze the Shannon entropy of low-lying states and thermodynamic properties. Regarding Shannon entropy, we observed that both conditions led to increased fermion localization in position space and delocalization in momentum space. Furthermore, we calculated the BBM entropic uncertainty relation and confirmed its validity in one dimension. As for the thermodynamic properties, we found that augmenting the influence of the magnetic fields altered their respective behaviors.",

keywords = "BBM uncertainty relation, Graphene, Magnetic field, Shannon entropy, Thermodynamic properties",

author = "Moreira, {A. R.P.} and Amadi, {P. O.} and R. Horchani and Ikot, {A. N.} and F. Ahmed",

note = "Publisher Copyright: {\textcopyright} 2024 The Physical Society of the Republic of China (Taiwan)",

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T1 - The influence of a magnetic field on Shannon entropy and thermal properties in graphene

AU - Moreira, A. R.P.

AU - Amadi, P. O.

AU - Horchani, R.

AU - Ikot, A. N.

AU - Ahmed, F.

PY - 2024/6/1

Y1 - 2024/6/1

N2 - We conducted an investigation into the impact of an external magnetic field on graphene under two proposed conditions: a constant magnetic field (ω), and a field characterized by exponential decay (μ). The resulting eigenvalue solutions were utilized to analyze the Shannon entropy of low-lying states and thermodynamic properties. Regarding Shannon entropy, we observed that both conditions led to increased fermion localization in position space and delocalization in momentum space. Furthermore, we calculated the BBM entropic uncertainty relation and confirmed its validity in one dimension. As for the thermodynamic properties, we found that augmenting the influence of the magnetic fields altered their respective behaviors.

AB - We conducted an investigation into the impact of an external magnetic field on graphene under two proposed conditions: a constant magnetic field (ω), and a field characterized by exponential decay (μ). The resulting eigenvalue solutions were utilized to analyze the Shannon entropy of low-lying states and thermodynamic properties. Regarding Shannon entropy, we observed that both conditions led to increased fermion localization in position space and delocalization in momentum space. Furthermore, we calculated the BBM entropic uncertainty relation and confirmed its validity in one dimension. As for the thermodynamic properties, we found that augmenting the influence of the magnetic fields altered their respective behaviors.

KW - BBM uncertainty relation

KW - Graphene

KW - Magnetic field

KW - Shannon entropy

KW - Thermodynamic properties

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JO - Chinese Journal of Physics

JF - Chinese Journal of Physics

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The influence of a magnetic field on Shannon entropy and thermal properties in graphene

Abstract

Keywords

ASJC Scopus subject areas

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