
 
 

collisional transport coefficients

 
 

calculate coeffs with nonadiabatic density and temperature as basis
density_coeff [-1.96930113  0.55872797  0.01661212  0.0156434   0.02675465]
temp_coeff [-3.36612105  2.22638596 -0.63488032  0.0953582   0.00339165]

 
 

 useful output 
 
density coefficients {a_p}
a0 =  -1.96930112986 / cfreqei
a1 =  0.558727967969 / cfreqei
a2 =  0.0166121156563 / cfreqei
a3 =  0.0156434041798 / cfreqei
a4 =  0.0267546471237 / cfreqei


temperature coefficients {c_p}
c0 =  -3.36612104978 / cfreqei
c1 =  2.22638596249 / cfreqei
c2 =  -0.634880324362 / cfreqei
c3 =  0.095358203866 / cfreqei
c4 =  0.00339165187047 / cfreqei


Spitzer-Harm flows 

upar coeffs -- density a0  -1.96930112986
upar coeffs -- temp c0 -3.36612104978
heat flux coeffs -- density a1 0.558727967969
heat flux coeffs -- temp c1 2.22638596249


pfirsh-schluter perpendicular fluxes 

density equation 
  ( a1 - c1 ) / (a0 c1 - c0 a1)  0.66608314509
( a1 + a0 - c1 - c0) / (a0 c1 - c0 a1)  0.108176063155


temperature equation 
( 5*a1/2. ) / (a0 c1 - c0 a1) -0.557907081935
( (5/2.)*(a1 + a0)) / (a0 c1 - c0 a1) 1.40850074047


Helander-Sigmar p175 test pfirsh-schluter particle flux  pressure term 0.66608314509
Helander-Sigmar p175 test pfirsh-schluter particle flux  temp term -0.557907081935
Helander-Sigmar p175 test pfirsh-schluter heat flux  pressure term -0.557907081935
Helander-Sigmar p175 test pfirsh-schluter heat flux  temp term 1.9664078224


banana regime results 

ftrap -- the trapped fraction   1.46243824485  epsilon^{1/2}


parallel fluxes 

parallel particle flux 

sum a_p D_pq a_q =  2.55265669205  / cfreqei^2 
sum c_p D_pq a_q =  3.50547754567  / cfreqei^2 
sum a_p D_0p =  -1.66117832658  / cfreqei
sum a_p ( D_0p - D_1p) =  -0.471615296593  / cfreqei


parallel particle flux normalised 

ftrap * sum a_p D_pq a_q / a0 =  -1.89564852009  / cfreqei^2 
ftrap * sum c_p D_pq a_q / c0 =  -1.52298279041  / cfreqei^2 
ftrap * sum a_p D_0p =  -2.42937071631  / cfreqei
ftrap * sum a_p ( D_0p - D_1p) =  -0.689708246593  / cfreqei


parallel heat flux 

sum a_p Q_pq a_q =  -0.0526484157538  / cfreqei^2 
sum c_p Q_pq a_q =  2.98999156016  / cfreqei^2 
sum a_p Q_0p =  1.18956302999  / cfreqei
sum a_p ( Q_0p - Q_1p) =  -2.63951230075  / cfreqei


parallel heat flux normalised 

 - ftrap *(2./5.)* sum a_p Q_pq a_q / a1 =  0.0551216771976  / cfreqei^2 
 - ftrap *(2./5.)* sum c_p Q_pq a_q / c1 =  -0.785610057381  / cfreqei^2 
ftrap *(2./5.)* sum a_p Q_0p =  0.695864987886  / cfreqei
ftrap *(2./5.)* sum a_p ( Q_0p - Q_1p) =  -1.54404949455  / cfreqei


perpendicular fluxes 

particle flux 

sum a_p D_0p =  -1.66117832658  / cfreqei 
sum c_p D_0p =  -1.75065828911  / cfreqei 
D_00 =  1.53283998
D_00 - D_01 =  -0.59215318


particle flux + heat flux 

sum a_p (D_0p + Q_0p) =  -0.471615296593  / cfreqei 
sum c_p (D_0p + Q_0p) =  -1.86033991056  / cfreqei 
D_00 + Q_00 =  -0.59215318
D_00+ Q_00 - D_01 - Q_01 =  1.91855986


heat flux 

sum a_p Q_0p =  1.18956302999  / cfreqei 
sum c_p  Q_0p =  -0.109681621455  / cfreqei 
Q_00 =  -2.12499316
Q_00 - Q_01 =  2.51071304
