https://nemenmanlab.org/~ilya/index.php?action=history&feed=atom&title=Physics_212%2C_2018%3A_Lab_12 2026-05-17T09:40:34Z Revision history for this page on the wiki MediaWiki 1.31.0 https://nemenmanlab.org/~ilya/index.php?title=Physics_212,_2018:_Lab_12&diff=761&oldid=prev 2018-07-04T16:28:45Z

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Ilya https://nemenmanlab.org/~ilya/index.php?title=Physics_212,_2018:_Lab_12&diff=760&oldid=prev 2018-04-14T19:15:50Z

<p>Created page with &quot;{{PHYS212-2018}} After you are done with Module 4, do the following. Download the script for solving the diffusion equation from the main course web site. Focus on the seque...&quot;</p> <p><b>New page</b></p><div>{{PHYS212-2018}}<br /> <br /> After you are done with Module 4, do the following.<br /> <br /> Download the script for solving the diffusion equation from the main course web site. Focus on the sequential solution there only. Understand the script. Try to modify the script to have<br /> #Absorbing (rather than reflecting) boundary conditions.<br /> #A heat source somewhere in the lattice, which produces a certain amount of heat per unit time always.<br /> #Generate a movie of thee 2d temperature profile.<br /> #If you have time, repeat the steps above with thee following modifications. First, interpret the diffusion equation as a particle (not heat) diffusion. Modify it to account for the possibility that if to particles collide, they annihilate each other (in other words, introduce a sink term proportional to the square of the particle density).</div>

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