Need help in C++. Please check the image for reference 1. Write a program that will calculate the percolation transition in a square latticea. Start the program by generating a 2D lattice with dimensions 32x32b. Fill in pores (conducting sites) at random as specified by a parameter p. ( 0

Here's the algorithm for the percolation transition calculation: For each of the lattice sizes (8x8,…

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Write a program that will calculate the percolation transition in a square lattice

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Need help in C++. Please check the image for reference

1. Write a program that will calculate the percolation transition in a square lattice
a. Start the program by generating a 2D lattice with dimensions 32x32
b. Fill in pores (conducting sites) at random as specified by a parameter p. ( 0 <p< 1)
c.
Calculate the number of clusters as a function of p, and determine the point at which
the system undergoes the percolation transition
d. Repeat for different system sizes (8x8, 16x16, 40 x 40, 64 x 64, 96 x 96 and 128 x 128)
e. Plot the number of clusters as a function of p for each of the lattices on the same graph.
Comment on the graph
f. Plot the percolation transition as a function of the lattice size. Do you see any
dependence on the size of the lattice?

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