Changes between Version 7 and Version 8 of u/johannjc/galactic_colonization
- Timestamp:
- 10/18/17 00:32:06 (7 years ago)
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u/johannjc/galactic_colonization
v7 v8 1 == Back of the envelope == 2 1 3 Consider the diffusion equation for settled systems in the free-streaming limit (which I think should be appropriate) 2 4 … … 29 31 which 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). 30 32 33 == Simulation result == 31 34 32 35 Ran 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)