1. It is late night and a drunkard is walking along a very long street. The drunkard is not sure which is the way home, so he randomly takes steps of length 1.0 m forward or backward. He takes one step every second continuously for 1 hr.
a. Simulate this process by using a random number generator . Note that the C Library provides one; use man srand to learn more about this.
b. Generate 100 different realizations of the random sequence of steps by using a different seed each time.
c. Graphically show the randomwalks.
d. Calculate the displacement of the drunkard for each realization, and show graphically how these are distributed using a histogram.
e. Calculate the mean and the root mean square (rms.) displacement of the drunkard after 1hr.
f. Increase the time (number of steps) and show that the mean displacement tends to 0 and the rms. displacement scales as the square -root of the time. Also try to derive the same result analyticaly.
Problem1. 1.?
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