Finally, substituting in the chemical potential, the expression of phase evolution can be derived (Eq. 4). = DV2 (6*6* – abo) - 7726] This is known as the Cahn-Hillard evolution equation. Note: The symbol vo stands for the Laplacian of o. In 2D it can be rewritten as 29+ . Trial Parameters You are tasked to simulate the evolution of a Spinodal Decomposition over time using both 5-point stencil and 9-point stencil applied to the Cahn-Hillard equation derived (Eq. 4) with periodic boundary conditions using the following sets of parameters. bID 0.11 1 3 Each simulation should be 10 seconds total, with a field of uniformly random initial dis- tribution at unit material phases (6 = 1 for material A, o = -1 for material B). The grid should be 150 x 100 with a grid spacing h = 1. For each trial, print a plot of the field distribution using imagesc at every 5 second inter- vals (e. g. t = 0, 5, 10, 15, 20), and show them in your report. Make sure to include a colorbar.