Difference between revisions of "HEDP notes"

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Line 9: Line 9:
 
  <math>B[G] = 0.2 \times I(A) / r(cm) </math>
 
  <math>B[G] = 0.2 \times I(A) / r(cm) </math>
 
  <math>B[T] = 0.2 \times I(kA) / r(mm) </math>
 
  <math>B[T] = 0.2 \times I(kA) / r(mm) </math>
 
  
 
*100 kA at 1 mm radius is 20 T
 
*100 kA at 1 mm radius is 20 T
Line 21: Line 20:
 
  <math> P_m(bar) = (2 \times B(T))^2 </math>
 
  <math> P_m(bar) = (2 \times B(T))^2 </math>
 
  <math> P_m(bar) = 0.16 \times I(kA)^2 \times R(mm)^{-2} </math>  
 
  <math> P_m(bar) = 0.16 \times I(kA)^2 \times R(mm)^{-2} </math>  
 
  
 
*100 kA at 1 mm radius is 1.6 kBar
 
*100 kA at 1 mm radius is 1.6 kBar

Revision as of 20:59, 25 September 2015

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high energy density plasma defined as a plasma with pressure above 1 MBar

[math]1 MBar = 1 \times 10^6 \times 10^5 Pa = 10^{11} Pa = 10^{11} (N m)/(m^2) = 10^{11} J/m = 10^{11} (10^7 erg)/(10^6 cm^3) = 10^{12} erg/cm^3[/math]


magnetic field produced by single wire (Ampere law / Biot-Savart Law)

[math]B[G] = 0.2 \times I(A) / r(cm) [/math]
[math]B[T] = 0.2 \times I(kA) / r(mm) [/math]
  • 100 kA at 1 mm radius is 20 T
  • 10 MA at 4 mm radius is 500 T
  • 100 kA at 1 um radius is 20 kT


magnetic pressure

[math] P_m(bar) = (2 \times B(T))^2 [/math]
[math] P_m(bar) = 0.16 \times I(kA)^2 \times R(mm)^{-2} [/math] 
  • 100 kA at 1 mm radius is 1.6 kBar
  • 10 MA at 4 mm radius is 1 MBar
  • 100 kA at 1 um radius is 1.6 GBar


Bennett condition

  • magnetic pressure = plasmakinetic pressure
  • so our plasma pressure (at 100 kA at 1 um radius) is about 1,600 MBar (wau!! really??!!)