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STOCHASTICITY
Detailed examination of computed particle trajectories has revealed a complexity and disorder that is of increasing interest to accelerator specialists. To introduce this topic, the author would like you to consider for a moment the analysis of synchrotron oscillations for a particle in a coasting beam, regarded as a problem in one degree of freedom. A simple analysis replaces the electric field of the RF-v cavity system by a traveling wave, having the speed of a synchronous reference particle, and leads to a pair of differential equations of the form dy/dn = -K sin {pi}x, (1A) where y measures the fractional departure of energy from the reference value {pi}x measures the electrical phase angle at which the particle traverses the cavity, and K is proportional to the cavity voltage; and dx/dn = {lambda}{prime}y, (1b) in which {lambda}{prime} is proportional to the change of revolution period with respect to particle energy. It will be recognized that these equations can be derived from a Hamiltonian function H = (1/2){lambda}{prime}y{sup 2}-(K/{pi})cos {pi}x. (2) Because this Hamiltonian function does not contain the independent variable explicitly, it will constitute a constant of the motion and possible trajectories in the x,y phase space will be just …
Date:
May 1, 1974
Creator:
Laslett, L. Jackson.
System:
The UNT Digital Library
Direct Conversion of Neutron Energy and Other Advantages of a Large Yield Per Pulse, Inertial-Confinement Fusion Reactor
Aspects of an inertial-confinement, fusion reactor that uses an energy release {approx gt}10{sup 11} joules are discussed. The large energy release makes possible direct conversion of the fusion neutrons' energy after nuclear heating of an evaporated blanket to the plasma state. Surface damage by charged particles is avoided and structural damage by neutrons is alleviated. Complex fuel assemblies and other expandable parts may be used as a result of the high monetary value of the energy release.
Date:
May 6, 1974
Creator:
Burke, R. J. & Cutting, J. C.
System:
The UNT Digital Library
Two-dimensional resonance effects due to a localized bi-Gaussian charge distribution
None
Date:
May 1, 1974
Creator:
Ruggiero, Alessandro G.
System:
The UNT Digital Library
Amplitude analysis of (3$pi$)$sup +$ production at 7 GeV/c
None
Date:
May 1, 1974
Creator:
Tabak, M.; Ronat, E.E.; Rosenfeld, A.H.; Lasinski, T.A. & Cashmore, R.J.
System:
The UNT Digital Library
Search for experimental evidence on exclusive double-Pomeron exchange
None
Date:
May 1, 1974
Creator:
Chew, D. M.
System:
The UNT Digital Library
Proton--electron--positron Project: PEP
None
Date:
May 17, 1974
Creator:
Smith, L.
System:
The UNT Digital Library
Prospects for laser fusion
None
Date:
May 13, 1974
Creator:
Nuckolls, J.H.
System:
The UNT Digital Library
Compressor design for intense electron rings
None
Date:
May 1, 1974
Creator:
Hauptman, J.; Laslett, L.J.; Chupp, W.W. & Keefe, D.
System:
The UNT Digital Library
Tritium in the fusion engineering research facility
None
Date:
May 17, 1974
Creator:
Hickman, R. G.
System:
The UNT Digital Library
Transverse collective instability in the NAL 500-GeV accelerator
None
Date:
May 1, 1974
Creator:
Stiening, R. & Wilson, E. J. N.
System:
The UNT Digital Library
Electron excitation of high pressure Ar, Kr, and Xe
None
Date:
May 21, 1974
Creator:
Ebert, P.J.; Koehler, H.A.; Ferderber, L.J. & Redhead, D.L.
System:
The UNT Digital Library
Observations on collective longitudinal instabilities in electron rings
None
Date:
May 1, 1974
Creator:
Faltens, A.; Lambertson, G. R.; Peterson, J. M. & Rechen, J. B.
System:
The UNT Digital Library
Impact of radiation on man and his environment
None
Date:
May 1, 1974
Creator:
Waite, D A
System:
The UNT Digital Library
Nuclear collisions with friction
None
Date:
May 1, 1974
Creator:
Tsang, C. F.
System:
The UNT Digital Library
Heavy ion source development at Berkeley
None
Date:
May 1, 1974
Creator:
Chintalpudi, S.; Clark, D. J.; Gavin, B.; Grunder, H.; Holley, W. R.; Richter, R. M. et al.
System:
The UNT Digital Library
Rapporteur talk on electron ring accelerator
None
Date:
May 1, 1974
Creator:
Lambertson, G.R.
System:
The UNT Digital Library
Atlas of photoneutron cross sections obtained with monoenergetic photons. Second edition
None
Date:
May 1, 1974
Creator:
Berman, B. L.
System:
The UNT Digital Library
Extraction for the main ring at NAL
None
Date:
May 1, 1974
Creator:
Andrews, R. A.; Edwards, H. T.; Fisk, H. E.; Hornstra, F.; McCarthy, J. D.; Pfeffer, H. et al.
System:
The UNT Digital Library
Liquid metal fast breeder reactor safety
None
Date:
May 1, 1974
Creator:
Graham, J.
System:
The UNT Digital Library
Transverse single particle instability in the NAL 500-GeV accelerator
None
Date:
May 1, 1974
Creator:
Stiening, R. & Wilson, E. J. N.
System:
The UNT Digital Library
NAL accelerator and future plans
None
Date:
May 1, 1974
Creator:
unknown
System:
The UNT Digital Library
Insertions for colliding-beam storage rings
None
Date:
May 1, 1974
Creator:
Lee, W. W. & Teng, L. C.
System:
The UNT Digital Library
Effect of Doping on the Resonance Raman Scattering in InSb Near the E$sub 1$ Transition
Measures the Resonant Raman Scattering of highly doped InSb at the E sub $ 1 transition.
Date:
May 1, 1974
Creator:
Yu, P.Y. & Shen, Y.R.
System:
The UNT Digital Library