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List of Symbols

inner product
double inner product (contraction over 2 indices)
quadruple inner product (contraction over 4 indices)
n-fold inner product (contraction over n indices)

derivative with respect to position
phase average
greatest integer less than or equal to x.
1

unit tensor, second rank tensor with the Kronecker delta for components ()
first Townsend ionization coefficient
strain rate in Planar Couette systems
6N-dimensional phase space vector
Dirac delta function
=
shear viscosity
bulk viscosity
Heaviside step function
phase space compression factor
mobility
reaction rate
collision frequency
velocity dependent collision frequency
cylindrically symmetric components of
viscous pressure tensor
mass density
,
see page gif
width parameter of a Gaussian source
non-hydrodynamic relaxation time
potential energy
eigenfunctions of
eigenfunctions of
lth order transport coefficient
(swarms)
reaction rate
drift velocity
diffusion coefficient
inverse of considered as a matrix, .
jth eigenvalue of
components of satisfying cylindrical symmetry
acceleration of swarm particle due to field
boundary, or field inhomogeneity operator
velocity (as in mesoscopic picture)
det
determinant of considered as a matrix =
longitudinal diffusion
transverse diffusion
complementary error function
E
electric field
external thermodynamic force
G
Greens function
H
internal energy of the system =
adiabatic rate of change of internal energy
jth order Hermite polynomial
J
thermodynamic flux
= <J>
collision operator
coordinate of Fourier transform
Boltzmann's constant
K
kinetic energy
L
p-Liouvillean
f-Liouvillean
N
average number density (swarms), number of particles (statistical mechanics)
number density
momentum of the ith particle
P

pressure tensor
co-ordinate of the ith particle
the rth root of
saddle point of
position
Res
residue of f at
S
source function
t
time
time at which the swarm peak arrives at the collector
T
temperature
streaming velocity
drift velocity
non-hydrodynamic part of the density



next up previous contents index
Next: Up: Mathematical Notation Previous: Other Conventions



Russell Standish
Thu May 18 11:43:52 EST 1995