A faulty memory chip stores an N x N grid of bits. Each grid can hold...

  

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A faulty memory chip stores an N x N grid of bits. Each grid can hold any number of bits as shown in the figure (for N = 3). The problem with the faulty chip is that bits jump at random from one grid box to another - leaving the source grid with a bit less and the destination grid with an additional bit (the total number of bits is conserved). The energy of a grid box is = bA, where b is the number of bits in the grid and A is a constant bit energy. 1 2 1 0 0 0 1 3 1 A) Assume that the memory chip is initialized with a single bit in each of the N X N grid boxes at time t = 0. What is the distribution of the average occupancy number of the energy state & at equilibrium (in other words find g(b) or g(e), where g is the number of memory locations with the same energy (or total number of bits))? B) Fill in the memory grid below for N = 16 at equilibrium. What is the value of kT? b 9(E) 0 1 2 3 4 5 6 7 8 00 A faulty memory chip stores an N x N grid of bits. Each grid can hold any number of bits as shown in the figure (for N = 3). The problem with the faulty chip is that bits jump at random from one grid box to another - leaving the source grid with a bit less and the destination grid with an additional bit (the total number of bits is conserved). The energy of a grid box is = bA, where b is the number of bits in the grid and A is a constant bit energy. 1 2 1 0 0 0 1 3 1 A) Assume that the memory chip is initialized with a single bit in each of the N X N grid boxes at time t = 0. What is the distribution of the average occupancy number of the energy state & at equilibrium (in other words find g(b) or g(e), where g is the number of memory locations with the same energy (or total number of bits))? B) Fill in the memory grid below for N = 16 at equilibrium. What is the value of kT? b 9(E) 0 1 2 3 4 5 6 7 8 00