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

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Physics

The simplest model of a polymer involves a sequence of bonds offixed length λ, 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 θ randomly between 0 and 2π. We make a step of length λ at anangle of θ 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 λ = 1 Note thatthis model is “off-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.

Answer & Explanation Solved by verified expert
3.8 Ratings (528 Votes)
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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