B | magnetic field |
c | speed of light |
cs | sound speed |
E | electric field |
f(x,v,t) | electron distribution function |
G | total momentum density |
J | current density |
J* | "free-streaming" current density |
k | wavenumber |
kB | Boltzmann constant |
m | particle mass |
MA | Alfvén Mach number in the shock frame |
n | particle number density |
[^(n)] | shock normal direction |
p | thermal pressure |
P | pressure tensor |
q | electric charge |
Rc | radius of curvature |
S | total energy flux |
t | time |
T | temperature |
U | fluid velocity |
v | particle velocity |
vA | Alfvén speed |
vf | fast mode wave speed |
V0 | velocity of plasma flow into the shock |
VHT | de Hoffman-Teller velocity |
Vin | velocity of plasma flow into the simulation box |
W | total energy density |
x,y,z | x,y,z position co-ordinates |
a | particle pitch angle |
b | plasma beta |
g | Lorentz factor |
g | polytropic exponent |
G | current per unit mass |
Dt | time step |
Du | change in flow speed |
Dx, Dy | grid cell sizes |
e0 | dielectric constant |
qBn | angle between the upstream magnetic field and the shock normal |
l | wavelength |
L | charge per unit mass |
m | particle magnetic moment |
m0 | permeability of free space |
P | momentum flux tensor |
r | mass density |
rc | charge density |
s | power law exponent |
f | macroparticle weighting function |
f0 | cross-shock potential |
w | wave frequency |
W | gyrofrequency |
0 | upstream quantity |
1 | downstream quantity |
e | electron |
i | ion |
p | proton |
r | reflected component |
s | species |
x,y,z | x,y,z vector components |
HTF | quantity in the de Hoffman-Teller frame |
IPF | quantity in the initial plasma frame |
NIF | quantity in the normal incidence frame |
|| | component parallel to the magnetic field |
^ | component perpendicular to the magnetic field |
* | characteristic speed calculated locally |