HEDP notes: Difference between revisions
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=high energy density plasma is a plasma with pressure above 1 MBar= | =high energy density plasma is 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> | <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> | ||
=High Energy Density Physics Diagram | |||
*google it | |||
=magnetic field produced by single wire (Biot-Savart Law)= | =magnetic field produced by single wire (Biot-Savart Law)= | ||
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=Bennett condition= | =Bennett condition= | ||
*magnetic pressure = plasmakinetic pressure | *magnetic pressure = plasmakinetic pressure | ||
*100 kA at 40 um radius is 1 MBar of plasma pressure | *100 kA at 40 um radius is 1 MBar of plasma pressure | ||
*100 kA at 1 um radius is 1.6 GBar of plasma pressure | *100 kA at 1 um radius is 1.6 GBar of plasma pressure | ||
Revision as of 18:50, 6 October 2015
high energy density plasma is a plasma with pressure above 1 MBar
[math]\displaystyle{ 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]
=High Energy Density Physics Diagram
- google it
magnetic field produced by single wire (Biot-Savart Law)
[math]\displaystyle{ B[G] = 0.2 \times I(A) / r(cm) }[/math] [math]\displaystyle{ B[T] = 0.2 \times I(kA) / r(mm) }[/math]
- 10 MA at 4 mm radius is 500 T
- 100 kA at 40 um radius is 500 T
- 160 kA at 5 um radius is 6,400 T
magnetic pressure
[math]\displaystyle{ P_m(bar) = 4 \times B(T)^2 }[/math] [math]\displaystyle{ P_m(bar) = 0.16 \times I(kA)^2 \times R(mm)^{-2} }[/math]
- 10 MA at 4 mm radius is 1 MBar
- 100 kA at 40 um radius is 1 MBar
- 160 kA at 5 um radius is 164 MBar
Bennett condition
- magnetic pressure = plasmakinetic pressure
- 100 kA at 40 um radius is 1 MBar of plasma pressure
- 100 kA at 1 um radius is 1.6 GBar of plasma pressure