Coordinate System Invariant Formulation of Fractional‐Dimensional Child‐Langmuir Law for a Rough Cathode

Coordinate System Invariant Formulation of Fractional‐Dimensional Child‐Langmuir Law for a Rough Cathode

Abstract This work presents an exact closed‐form analytical model of the space charge limited (SCL) current density for planar, cylindrical, and spherical geometries in fractional dimensional spaces (Fα) where α represents the fractional dimensions having a range 0 < α ⩽ 1. Decreasing value of α...

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Bibliographic Details
Main Authors:	Muhammad Zubair, Adeela Fatima, Noreen Raheem, Yee Sin Ang, Muhammad Qasim Mehmood, Yehia Massoud
Format:	Article
Language:	English
Published:	Wiley-VCH 2023-07-01
Series:	Advanced Physics Research
Subjects:	fractional dimensional spaces Langmuir–Blodgett equations space charge limited current variational calculus
Online Access:	https://doi.org/10.1002/apxr.202200120

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