Acceleration of Macroscopic Particle to Hypervelocity by High Intensity Beams
Yian Lei, Jian Liu
School of Physics, Beijing Univ., China Beams 08, Xian
Contents
Hypervelocity, definition and applications Impact Fusion Macroscopic particle (macron) acceleration High intensity beam macron acceleration concept Dynamic compensation ”blowing-pipe” design of a macron accelerator Physics and challenges
Hypervelocity
Common definition: macro objects, 3000 km/s and above Research fields: space exploration, micrometeorites collisions, weapons Definition here: macroscopic objects, less than 1 gram, 200-1000 km/s Application: high energy density physics (HEDP) studies, impact fusion
Hypervelocity impact in HEDP
vs. other methods, laser, electron or ion beams, anvil Higher energy density (pressure), ~Gbar Better energy deposition, no high energy electrons, less radiation. A workbench for HEDP J. Liu, Y. Lei, HIF 2008, Aug., Tokyo
Impact Fusion Concept
Macron @ 200~1000 km/s, shots into liquid or solid DT. Winterberg, 1964 Historical events, Impact workshop @ LANL, 1979, LANL evaluation 1980 Rejected because people believe the macron size should be around 1 gram and kinetic energy 10~50 MJ for impact ignition, and there is no way to accelerate such a macron to the speed For electrostatic accelerators (linear rf synchrotrons), the length is over 10000 kilometers
New Idea of Impact Fusion
New Idea of Impact Fusion
Bullet: millimeter (milligram) size diamond, (vs gram size metallic ones, shorten accelerator length by 10 times) Target: crystal DT methane (CD2T2), (vs liquid or solid DT), higher DT concentration, higher fusion α particle stopping Mechanism: particle mixing and thermolization, (vs shock wave or global compression) Ignition energy is 1~2 MJ (another 10 times) Linear RF accelerator length: ~100 km
Advantages
“Stand-off”, no close contact components (to fusion spot) No precompression, no precise positioning High Q, unlimited and easy tailored output energy, propagating fusion burn. Accelerator: no emittance, no magnets, slow bullet, low vacuum, high efficiency High inject energy efficiency, 70% bullet energy goes to DT ions, vs 10+% in laser, HIF, Z-pinch Close energy and neutron harvesting (tritium & 3He breeding, high intensity neutron source)
Lei, et al, IAEA FEC2008, Oct. Geneva
Low cross section, microbarn ~ barn best candidate: D + T = 4He + n, 5 barn at ~ 100keV Low luminosity: ~ 1030 cm-2s-1 D shooting liquid T, ~ 1037 cm-2s-1 Low energy density ion current ~mA, 1016 s-1, if reaction area 1mm2x1m, ring 100m, fusion energy: 1016x1016x5x10-28/10-6 /100x18MeV ~ 1.5x10-4W Low accelerator efficiency
Some facts
D(T,n)a cross section > 1b, if E > 50 KeV Other 1 ~ 50 mb, E > 100 KeV 50 keV ~ 5x109 K Tokamaks 1~10 keV Modern particle accelerators:
• Large Hadron Collider (LHC), 7TeV • International Linear Collider (ILC) 500~1000GeV, • SLAC 50GeV
1TeV/100keV = 107
How about macroscopic collision?
1ug LiD(T) ~ 6x1016 LiD(T) pairs ~ 6x1017nucleons ~ 2.4 x 1017 electrons Knock out (or put upon) 6x1010 electrons, that’s 10-8 Coulomb. If charge is evenly distributed, static electric energy ~ 5 x10-3 J, which is less than it’s total chemical bond energy (10-2J) A 1TeV accelerator can put 100keV energy to each nucleon, means D 200keV, T, 300keV, Li-6, 600keV, Li-7, 700 keV. Total enery: 6x1010 x 1TeV ~ 10kJ, speed ~ 4500km/s
Lithium hydride
LiH is a colourless crystalline solid, although commercial samples appear gray. Characteristic of a salt-like hydride, it has a high melting point (689 ° C or 1272 °F). Its density is 780 kilograms per cubic metre. It has a standard heat capacity of 29.73 J/mol*k with thermal conductivity that varies with composition and pressure (from at least 10 to 5 W/m*K at 400 ºK) and decreases with temperature. -----Cited from wikipedia.org
Shooting it to a stationary target…
Also a LiD(T) rod, 10mmx10mmx100mm Facts: D(T) pass through each other about 107 times, fusion almost surely happen, that’s ~ 2mm luminosity ~ 1050 cm-2s-1 Temperature: 500keV at beginning, then goes down Time of reaction: ~0.2us. Laser ICF: 0.07(8)us Other fusion process can occur: D-6Li, D-7Li, mostly DT.
Inertial confinement?
Scattering cross section is larger than DT reaction cross section (10~50 barns). Quasiequlibrization process. Mean free path: ~0.2 mm Preliminary simulations show 5~30% of the bullet D(T) quantity fuse. Considering the target, the fusion rate is very low. But energy produced is much larger than the incoming bullet.
Chain-action like effects
The fusion products (high energy alpha particle, neutron) can pass a decent part of its energy to other nuclei. Cross section: alpha particle: 10~50 barn, neutron, ~1 barn Those nuclei can join fusion process
Energy gain
If we manage (by bullet design, a bunch of bullets, two way impact, etc), and make 1mg DT fuse in each shot, the fusion energy gain is equivalent to that of burning 10Kg coal. If this can happen every second, it can power a 140MW plant.
Accelerator issues
Power consumption:
• Linear Accelerators (500GeV~1000GeV) 100~300MW • LHC, 7 TeV, 120MW
We may have to use linear ones, for the mass/charge ratio of the bullet is too high. The speed of the bullet is much less than c. Good or bad? May need special design of accelerator.
What’s new here?
Slightly charged (?), chemically bound, macroscopic bullets provide much higher luminosity, plasma density, and energy density, which are vital for fusion processes.
What misses here? (Loopholes)
Can’t charge macroscopic particle to that much of electricity (10-7 of it’s molecule number), this charge is actually quite high, imperfection of the material will cause break-ups. Charged bullet disintegrates during acceleration. Resonance, heating, uneven charge distribution. Simulation is wrong, not that much fusion happen, energy gain is too small. Most probably the bullet (main reaction area) cools off sooner.
Comfortable facts
Laser driven Inertial confined fusion put 1~2 MJ energy into a D-T target, 15-30% of the total energy goes to heating and compressing the ablated core, confined time < 0.1us Some other efforts to increase the shooting energy, bullet size, confine time are possible. Electricity-microwave conversion efficiency is very high. Meter-wave.
Advantages
Fusion products go forward. Reaction/energy collection chamber can be very large, reducing wall damage. (vs. Tokamaks) Can easily work continuously (vs. Laser ICF) If the size of the target increases, chain-action like effects could happen, free energy gain. Easy to control Easy to model Easy to prove or falsify (SLAC can try a smaller shot than quoted here)
Some concerns
Charging bullet, bullet design, ballooning, metal coating, not necessarily to be LiD(T) Radio frequency of the accelerator, low heating rate Bullet speed is good, much shorter linear accelerator than particle ones, 1TeV ~ 10km First goal, build a primary accelerator, nanogram particle to 1~10km/s. Should be easy, no vacuum, no cooling, no magnets, basic electrical & mechanic work.