The simplest model of a polymer involves a sequence of bonds of fixed length Î», where...

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The simplest model of a polymer involves a sequence of bonds offixed length Î», where each bond can make any angle with theprevious bond. This is called the freely-jointed chain model. Herewill will study it in 3D. We start at the origin. Then we choose anangle Î¸ randomly between 0 and 2Ï€. We make a step of length Î» at anangle of Î¸ top the +x direction. We then repeat, making N steps intotal. We can measure the size of the polymer by finding the endto-end-vector R and squaring it. We then take the square root ofthis to get the root-mean-square size. We will set Î» = 1 Note thatthis model is â€œoff-lattice\" or continuum, we are not using anylattice.
You should: (1) Plot an example walk of say 100 steps.
(2) Generate walks between say 10 and 10^6 steps and make alog-log plot of the root mean square size versus total number ofsteps. You may need to average over several walks for each lengthto get good data.

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i have coded the above problem in MATLABthe code is as followsclcclear allx0y0Xzeros1101Yzeros1101for i1100trand1 a random number is generated in order to See Answer

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