Nonlocal fractal neutrons transport equation and its implications in nuclear engineering

El-Nabulsi, Rami Ahmad; Anukool, Waranont

doi:10.1007/s00707-022-03317-0

Acta Mech

2022

DOI: 10.1007/s00707-022-03317-0

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Nonlocal fractal neutrons transport equation and its implications in nuclear engineering

Rami Ahmad El-Nabulsi

Waranont Anukool

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Cited by 16 publications

(1 citation statement)

References 76 publications

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“…To start, we introduce the following nonlocal Schrödinger integro-differential equation: [22,26,41,42]…”

mentioning

confidence: 99%

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

El-Nabulsi

Anukool

2023

Chinese Phys. B

Self Cite

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We prove the existence of an analogy between spatial long range interactions which are of convolution-type introduced in non-relativistic quantum mechanics and the generalized uncertainty principle predicted from quantum gravity theories. As an illustration, black holes temperatures effects are discussed. It was observed that for specific choices of the moment's kernels, cold black holes may emerge in the theory.

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“…To start, we introduce the following nonlocal Schrödinger integro-differential equation: [22,26,41,42]…”

mentioning

confidence: 99%

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

El-Nabulsi

Anukool

2023

Chinese Phys. B

Self Cite

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Improvement of nonlocal Pennes heat transfer equation in fractal dimensions in the analysis of tumor growth

El-Nabulsi

Anukool

2023

Acta Mech

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Negative heat capacity in low-dimensional systems using non-local kernel approach

Anukool,

El-Nabulsi

2024

Pramana - J Phys

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Nonlocal fractal neutrons transport equation and its implications in nuclear engineering

Cited by 16 publications

References 76 publications

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature

Improvement of nonlocal Pennes heat transfer equation in fractal dimensions in the analysis of tumor growth

Negative heat capacity in low-dimensional systems using non-local kernel approach

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