Difference between revisions of "HEDP notes"
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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> | ||
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=magnetic field produced by single wire (Biot-Savart Law)= | =magnetic field produced by single wire (Biot-Savart Law)= | ||
| − | <math>B[ | + | <math>B[T] = \mu I / ( 2\pi r ) </math> |
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*10 MA at 4 mm radius is 500 T | *10 MA at 4 mm radius is 500 T | ||
| − | *100 kA at | + | *100 kA at 40 um radius is 500 T |
| + | *160 kA at 5 um radius is 6,400 T | ||
=magnetic pressure= | =magnetic pressure= | ||
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<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> | ||
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*10 MA at 4 mm radius is 1 MBar | *10 MA at 4 mm radius is 1 MBar | ||
| − | *100 kA at 1 um radius is | + | *100 kA at 40 um radius is 1 MBar |
| + | *160 kA at 5 um radius is 164 MBar | ||
=Bennett condition= | =Bennett condition= | ||
| − | + | *magnetic pressure = plasmakinetic pressure | |
| − | + | ||
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| + | *14 MBar at 140 kA at 15-um radius (shot 634 with 2x30-um W wires) | ||
| + | *25 MBar at 150 kA at 12-um radius (shot 657 with 2x30-um Mo wires) | ||
| + | *100 MBar at 154 kA at 6-um radius (shot 657 with 2x30-um Mo wires) | ||
| + | |||
| + | =Links= | ||
| + | *[http://www.nap.edu/read/10544/chapter/1 Frontiers in High Energy Density Physics THE X-GAMES OF CONTEMPORARY SCIENCE] | ||
Latest revision as of 18:13, 31 May 2017
high energy density plasma is a plasma with pressure above 1 MBar
magnetic field produced by single wire (Biot-Savart Law)
- 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
- 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
- 14 MBar at 140 kA at 15-um radius (shot 634 with 2x30-um W wires)
- 25 MBar at 150 kA at 12-um radius (shot 657 with 2x30-um Mo wires)
- 100 MBar at 154 kA at 6-um radius (shot 657 with 2x30-um Mo wires)