Module 6 : Sampling and Metropolis Monte Carlo

Lecture 27 : Markov process and its applications - 1

Equation (9) become,

(10)

Solution of equation (10) will give the value of , provided , , & are known.

# Find the Probability of each possible routes.

(11)

Similarly

(12)


(13)


(14)

Check that, &

Now to apply Markov's rule we can construct the transition matrix as follows

The elements of this matrix are constant as long as , & remains constant.

Apply MC method to generate a copolymer chain with total N number of units, fraction of (1) & (2) types units is & respectively.