MATLAB Code for Plotting a 1D & 3D Surface of Gibbs Free Energy Landscape

This repository contains a MATLAB script that generates a 3D surface plot of a Gibbs free energy landscape. The script utilizes various coefficients and variables to compute the Gibbs free energy, which is then plotted using a 3D surface plot.

Table of Contents

• Installation
• Usage
• Code Description
• License

Installation

To run the script, you need to have MATLAB installed on your system. You can download MATLAB here.

Usage

1. Clone this repository to your local machine:

   git clone https://github.com/your-username/repository-name.git

2. Open the MATLAB script (filename.m) in MATLAB.

3. Run the script using the Run button in the MATLAB interface or by typing the script name in the Command Window.

Code Description

• The script begins by clearing the MATLAB workspace (clear; clc; close all;).
• It creates a meshgrid of points ([Px, Py]) within a defined scale.
• Various coefficients (alpha0, alpha1, alpha11, alpha12, alpha111, alpha112, beta1, beta11) are defined for computations.
• The code scales the coefficients by a factor of 1e7.
• The script calculates the Gibbs free energy (G_GL) based on the defined coefficients and meshgrid points.
• A 3D surface plot is generated using the surf function to visualize the Gibbs free energy landscape.
• The plot is customized using various MATLAB functions (colormap, gca, xlabel, ylabel, zlabel) to set properties such as colormap, axis labels, and font size.

License

This project is licensed under the MIT License. See the LICENSE file for details.