Resistance calculation of uniform tiling with electrical resistors using lattice green's function
Other Title(s)
حساب المقاومة للتبليط الدوري مع المقاومات الكهربائيه باستخدام دالة غرين
Dissertant
al-Masarwah, Rammah Yasin Muhammad
Thesis advisor
Hajjawi, Raid Shakir
al-Nawafilah, Khalid Isa
Comitee Members
Jaradat, Imad Khalid Yusuf
Sabaylah, Muayyad Abd al-Rahim
Abd al-Rahman, Ahmad Abd al-Hayy
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2013
English Abstract
This study aimed to calculate the electric resistance between two arbitrary grid points of any lattice structure that is a periodic tilling of d-dimensional space by using the lattice Green's function for the Laplacian matrix for the network.
In this work the resistor network treated systematically by Laplacianoperator of the difference equations governed by Ohm's and Kirchhoff's laws.
Then the Green's function corresponding to the discrete Laplacian operator can be related to the resistance between two arbitrary nodes on a resistor network.
Here we present some applications to show how efficient this method.
Green's function method enables us to derive the resistance formulas for the Kagome and dice lattices in terms of the resistances on the triangular lattice, and for the decorated lattice in terms of the resistances on the square lattice.
Main Subjects
Topics
No. of Pages
40
Table of Contents
Table of contents.
Abstract.
Chapter One : Introduction.
Chapter Two : Formalism.
Chapter Three : Applications of the general formalism.
Chapter Four : Results and conclusion.
References.
American Psychological Association (APA)
al-Masarwah, Rammah Yasin Muhammad. (2013). Resistance calculation of uniform tiling with electrical resistors using lattice green's function. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-347086
Modern Language Association (MLA)
al-Masarwah, Rammah Yasin Muhammad. Resistance calculation of uniform tiling with electrical resistors using lattice green's function. (Master's theses Theses and Dissertations Master). Mutah University. (2013).
https://search.emarefa.net/detail/BIM-347086
American Medical Association (AMA)
al-Masarwah, Rammah Yasin Muhammad. (2013). Resistance calculation of uniform tiling with electrical resistors using lattice green's function. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-347086
Language
English
Data Type
Arab Theses
Record ID
BIM-347086
