Changes between Version 7 and Version 8 of u/johannjc/galactic_colonization


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Timestamp:
10/18/17 00:32:06 (7 years ago)
Author:
Jonathan
Comment:

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  • u/johannjc/galactic_colonization

    v7 v8  
     1== Back of the envelope ==
     2
    13Consider the diffusion equation for settled systems in the free-streaming limit (which I think should be appropriate)
    24
     
    2931which is just a logistic curve with length scale $L=T_p \left (\mathcal{V}-v \right)$ where $v$ is the thermal speed and $\mathcal{V}$ is the speed of the front (maximum speed from maxwellian).
    3032
     33== Simulation result ==
    3134
    3235Ran a simulation with periodic BC's, but particles enter from the right unsettled.  Also shifted the random velocities by the expected front velocity 3 v_rms.  (Click on the picture below for a movie)