Physics Simulations and Analysis

This repository contains a series of Python Jupyter Notebooks that simulate and analyze various physical phenomena, including the Density of States, Electron Drift, and Frequency Response in electrical circuits. The scripts are written in Python using scientific libraries and are designed for use in academic and research settings.

Table of Contents

1. Introduction
2. Installation
3. Usage
   • Steps to Run the Notebooks
4. Notebooks Overview
5. Contributing
6. License

Introduction

This repository contains the following key Jupyter Notebooks:

1. Density of States: This notebook explores the density of states in solid materials, crucial for understanding the behavior of electrons in materials like metals and semiconductors.
2. Electron Drift: This notebook models electron drift in conductive materials under the influence of electric fields, a key concept in semiconductor physics.
3. Frequency Response: This notebook simulates the frequency response of electrical circuits, which is important for analyzing the behavior of circuits in AC analysis.

Each notebook includes explanations of the underlying physics, the necessary equations, and visualizations to help in understanding the results.

Installation

To set up this repository on your local machine, follow these steps:

1. Clone the repository:

   git clone https://github.com/smahala02/Functional-properties.git
   cd Functional-properties

2. Install Python and Anaconda:

   • Download and install Anaconda to easily manage your Python environment.

3. Install dependencies: Install the necessary Python packages using requirements.txt:

   pip install -r requirements.txt

Usage

Steps to Run the Notebooks

1. Open Jupyter Notebook: Launch Jupyter Notebook:

   jupyter notebook

2. Navigate to the notebook: Open the notebook you wish to run from the list:

   • DensityOfStatesV1.0.ipynb
   • ElectronDriftV1.0.ipynb
   • FrequencyResponseV1.0.ipynb

3. Run the cells:

   • Execute the code cells in sequence.
   • Visualizations, plots, and calculations will be displayed as you progress through the notebook.

Notebooks Overview

1. Density of States

• Objective: Calculate the density of states for a given material, providing insights into the number of electronic states available at each energy level.
• Key Concepts:
  • Quantum mechanics in solids
  • Band structure and electron occupancy in metals and semiconductors
• Equations Used: The density of states equation is given by:

D(E) = dN(E) / dE

Where:

• D(E) is the density of states at energy E,
• N(E) is the number of states below energy E,
• E is the energy level.

2. Electron Drift

• Objective: Simulate the motion of electrons in a conductive material under an applied electric field.
• Key Concepts:
  • Ohm’s law
  • Electron mobility and conductivity
• Equations Used: Ohm's Law, which relates current density to the electric field, is given by:

J = σE

Where:

• J is the current density,
• σ is the electrical conductivity,
• E is the applied electric field.

3. Frequency Response

• Objective: Analyze the frequency response of electrical circuits, focusing on how circuits behave when subjected to different frequencies of input signals.
• Key Concepts:
  • AC circuit analysis
  • Resonance, bandwidth, and phase shift
• Equations Used: The frequency response equation, used to analyze how circuits react to different frequencies, is given by:

H(f) = V_out(f) / V_in(f)

Where:

• H(f) is the frequency response,
• V_out(f) is the output voltage at frequency f,
• V_in(f) is the input voltage at frequency f.

Contributing

Contributions are welcome! If you have suggestions or improvements, feel free to open an issue or submit a pull request.

1. Fork the repository: Click the "Fork" button on the top right.

2. Clone your fork:

   git clone https://github.com/smahala02/Functional-properties.git
   cd Functional-properties
   

3. Create a new branch:

   git checkout -b feature/your-feature

4. Make your changes and commit:

   git commit -m "Add your feature"

5. Push your branch:

   git push origin feature/your-feature

6. Open a pull request: Go to your fork on GitHub and click "New pull request".

License

This project is licensed under the MIT License.

Author

• smahala02