APPENDIX 10

STATUS OF AGREEMENTS FOR COOPERATION IN THE CIVIL USES OF ATOMIC ENERGY AS OF DECEMBER 31, 1958

SIGNED AND IN RATIFICATION PROCESS AS OF DECEMBER 31, 1958

1 Superseded Research Agreement effective from Apr. 23, 1956 to Aug. 7, 1957.
2 Superseded Research Agreement effective from Dec. 30, 1955 to Aug. 8, 1957.
* Superseded Research Agreement effective from July 19, 1955 to Feb. 12, 1958.
4 Will be separate from Research Agreement already in effect.
Will supersede Research Agreement now in effect.

Superseded Research Agreement effective from July 28, 1955 to Apr. 15, 1958.
Superseded Research Agreement effective from Dec. 27, 1955 to Dec. 4, 1958.

SUMMARY.-In effect: 29 research and 13 power agreements with 40 countries and the city of West Berlin. Signed: 3 research and 4 power agreements with 3 additional countries.

1 For earlier shipment data, see pp. 44-45, Twenty-fourth Semiannual Report (January-June 1958) and pp. 200-203, Twenty-third Semiannual Report (July-December 1957).

2 Amount less than 10 grams contained uranium 235.

282

NOTE: Above listing does not include the following agreements with other Government agencies: 11/30/57-8 contracts-$4,218,800. 11/30/58-7 contracts-$4,186,490.

2 One contract terminated December 31, 1957; two contracts terminated June 30, 1958.

APPENDIX 13

ABSTRACTS OF PAPERS PRESENTED BY UNITED STATES DELEGATES AT TECHNICAL SESSIONS

Papers presented orally by United States delegates to the United Nations Second International Conference on the Peaceful Uses of Atomic Energy are summarized here, chiefly as prepared in abstract for the Commission's Nuclear Science Abstracts. Number assigned by United Nations is given. Papers are grouped in accordance with the Conference session at which they were presented. Copies may be ordered, as desired, from the Office of Technical Services, Department of Commerce, Washington 25, D. C.

A-5. THEORETICAL ASPECTS OF PLASMA PHYSICS

Theory of Pinch Effect-Stability and Heating.-M. N. Rosenbluth. 11p. $0.50 (OTS). Some surface instabilities which may arise in the stabilized pinch are discussed. The disassembly and heating of the plasma which results from collision are covered. (A/CONF.15/P/347-General Atomic Div., General Dynamics Corp., San Diego, Calif.)

Theoretical Structure of Plasma Equations. M. N. Rosenbluth and N. Rostoker. 17 p. $0.50 (OTS). A new method is developed for the solution of the linearized transport equation which gives the perturbed distribution function in terms of the perturbed field variables. By facilitating direct use of the properties of particle orbits, a considerable simplification is achieved. In particular, a variational expression is derived for determining stability which is rigorous in the limit of small Larmor radius. (A/CONF.15/P/349-General Atomic Div., General Dynamics Corp., San Diego, Calif. and Texas Atomic Energy Research Foundation, Dallas.)

Stability of a Linear Pinch. Bergen R. Suydam. 8 p. $0.50 (OTS). A variation principle, developed by I. B. Bernstein, E. A. Frieman, M. D. Kruskal, and R. M. Kulsrud for hydromagnetic stability problems, was applied to the study of a linear, axi-symmetric pinch. It is shown by physical reasoning that a certain class of modes is particularly likely to be unstable, and the class of modes thus singled out is then studied with the aid of the Euler-Lagrange equation of the variation principle. Thus, subject to certain explicitly stated restrictions, conditions necessary and sufficient for stability are deduced. (A/CONF.15/P/354 Los Alamos Scientific Lab., N. Mex.)

On the Stability of Plasma in Static Equilibrium. M. D. Kruskal, and C. R. Oberman. 14 p. $0.50 (OTS). Criteria useful in the discussion of stability of plasmas in static equilibrium are derived from the Boltzmann equation in the small m/e limit. Collisions are ignored at first, but later it is shown how their effects are taken into account. This approach yields a generalization of the usual energy principles for investigating the stability of hydromagnetic systems to situations where the effect of heat flow along magnetic lines is not negligible, and hence to situations where the strictly hydrodynamic approach is inapplicable. The general method of approach is characterized. The properties of the small m/e limit used in the problem, the constants of the motion, and the conditions for static equilibrium are delineated. The first and second variations of the energy are calculated and a statement of the