Dr Rafael Bailo
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The collisional particle-in-cell method for the Vlasov-Maxwell-Landau equations
Two-stream instability (§3.2.1), distribution in $(x_1,v_1)$ space:
Animations
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Static frames
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Comparison
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
Animations
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Static frames
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Comparison
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
Animations
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Static frames
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Comparison
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
Animations
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Static frames
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Comparison
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
Animations
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Static frames
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Comparison
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
Animations
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Static frames
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
$C=0.0$
$C=0.01$
$C=0.02$
$C=0.04$
$C=0.08$
Comparison
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
$t=0.0$
$t=10.0$
$t=20.0$
$t=30.0$
$t=40.0$
$t=50.0$
Weibel instability (§3.2.2), distribution in $(v_1,v_2)$ space:
Animations
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Static frames
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Comparison
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
Animations
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Static frames
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Comparison
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
Animations
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Static frames
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Comparison
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
Animations
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Static frames
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Comparison
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
Animations
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Static frames
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Comparison
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
Animations
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Static frames
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
$C=0.0$
$C=0.0001$
$C=0.0002$
$C=0.0004$
$C=0.0008$
Comparison
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
$t=0.0$
$t=25.0$
$t=50.0$
$t=75.0$
$t=100.0$
$t=125.0$
The collisional particle-in-cell method for the Vlasov-Maxwell-Landau equations
Rafael Bailo ·
José Antonio Carrillo
·
Jingwei Hu
arXiv: 2401.01689
, 2024.
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