# Selected Papers, Volume 3

## Stochastic, Statistical, and Hydromagnetic Problems in Physics and Astronomy

Chandrasekhar has selected papers that trace the development of his ideas and that present aspects of his work not fully covered in the books he has periodically published to summarize his research in each area.

This volume is divided into four sections. The first, on dynamical friction and Brownian motion, includes papers written after Chandrasekhar published his 1942 monograph

*Principles of Stellar Dynamics*. Also in this section is "Stochastic Problems in Physics and Astronomy," one of the most cited papers in the physics literature, as well as papers written jointly with John von Neumann that have been given impetus to recent research. As Chandrasekhar notes, the papers in the second section, on statistical problems in astronomy, were influenced by Ambartsumian's analysis of brightness in the Milky Way. A third section on the statistical theory of turbulence addresses issues still unresolved in fluid dynamics, and the last section is devoted to hydromagnetic problems in astrophysics that are not discussed in Chandrasekhar's monographs.

Author's Note

*Part One - Dynamical Friction and Brownian Motion*

1. A Statistical Theory of Stellar Encounters

*The Astrophysical Journal*94, no. 3 (1941): 511-25

2. The Statistics of the Gravitational Field Arising From a Random Distribution of Stars. I, The Speed of Fluctuations, with J. von Neumann

*The Astrophysical Journal*95, no. 3 (1942): 489-531

3. The Statistics of the Gravitational Field Arising From a Random Distribution of Stars. II, The Speed of Fluctuations; Dynamical Friction; Spatial Correlations, with J. von Neumann

*The Astrophysical Journal*97, no. 1 (1943): 1-27

4. The Statistics of the Gravitational Field Arising From a Random Distribution of Stars. III, The Correlations in the Forces Acting at Two Points Separated by a Finite Distance

*The Astrophysical Journal*99, no. 1 (1944): 25-46

5. The Statistics of the Gravitational Field Arising From a Random Distribution of Stars. IV, The Stochastic Variation of the Force Acting on a Star

*The Astrophysical Journal*99, no. 1 (1944): 47-53

6. On the Stability of Binary Systems

*The Astrophysical Journal*99, no. 1 (1944): 54-58

7. Dynamical Friction. I, General Considerations: The Coefficient of Dynamical Friction

*The Astrophysical Journal*97, no. 2 (1943): 255-62

8. Dynamical Friction. II, The Rate of Escape of Stars From Clusters and the Evidence for the Operation of Dynamical Friction

*The Astrophysical Journal*97, no. 2 (1943): 263-73

9. Dynamical Friction. III, A More Exact Theory of the Rate of Escape of Stars From Clusters

*The Astrophysical Journal*98, no. 1 (1943): 54-60

10. New Methods in Stellar Dynamics

*Annals of The New York Academy of Sciences*45, art. 3 (1943): 131-62

11. Galactic Evidences for the Time-Scale of the Universe

*Science*99, no. 2564 (1944): 133-36

12. Stochastic Problems in Physics and Astronomy

*Reviews of Modern Physics*15, no. 1 (1943): 1-89

13. Brownian Motion, Dynamical Friction and Stellar Dynamics

*Reviews of Modern Physics*21, no. 3 (1949): 383-88

14. Marian Smoluchowski as the Founder of the Physics of Stochastic Phenomena

R. S. Ingarden, ed.,

*Polish Men of Science: Marian Smoluchowski; His Life and Scientific Work*, 21-28. Polish Scientific Publishers, 1986

15. On a Class of Probability Distributions

Proceedings of the Cambridge Philosophical Society 45, Pt. 2, (1948): 219-24

*Part Two - Statistical Problems in Astronomy*

16. The Theory of the Fluctuations in Brightness of the Milky Way, I.

With G. Münch

*The Astrophysical Journal*112, no. 3 (1950): 380-92

17. The Theory of the Fluctuations in Brightness of the Milky Way, II. With G. Münch

*The Astrophysical Journal*112, no. 3 (1950): 393-98

18. The Theory of the Fluctuations in Brightness of the Milky Way, III. With G. Münch

*The Astrophysical Journal*114, no. 1 (1951): 110-22

19. The Theory of the Fluctuations in Brightness of the Milky Way, IV. With G. Münch

*The Astrophysical Journal*115, no. 1 (1952): 94-102

20. The Theory of the Fluctuations in Brightness of the Milky Way, V. With G. Münch

*The Astrophysical Journal*115, no. 1 (1952): 103-23

21. On Stellar Statistics. With G. Münch

*The Astrophysical Journal*113, no. 1 (1951): 150-65

22. A Statistical Basis for the Theory of Stellar Scintillation

*Monthly Notices of the Royal Astronomical Society*112, no. 5 (1952): 475-83

23. On the Integral Equation Governing the Distribution of the True and the Apparent Rotational Velocities of Stars. With G. Münch

*The Astrophysical Journal*111, no. 1 (1950): 142-56

*Part Three - Statistical Theory of Hydromagnetic Turbulence*

24. On Heisenberg's Elementary Theory of Turbulence

*Proceedings of the Royal Society*, A, 200 (1949): 20-33

25. The Invariant Theory of Isotropic Turbulence in Magneto-Hydrodynamics

*Proceedings of the Royal Society*, A, 204 (1951): 435-49

26. The Invariant Theory of Isotropic Turbulence in Magneto-Hydrodynamics, II

*Proceedings of the Royal Society*, A, 207 (1951): 301-6

27. The Fluctuations of Density in Isotropic Turbulence

*Proceedings of the Royal Society*, A, 210 (1951): 18-25

28. The Gravitational Instability of an Infinite Homogeneous Turbulent Medium

*Proceedings of the Royal Society*, A, 210 (1951): 26-29

29. The Theory of Axisymmetric Turbulence

*Philosophical Transactions of the Royal Society of London*, A, 242, no. 855 (1950): 557-77

30. The Decay of Axisymmetric Turbulence

*Proceedings of the Royal Society*, A, 203 (1950): 358-64

31. On Turbulence Caused by Thermal Instability

*Philosophical Transactions of the Royal Society of London*, A, 244, no. 884 (1952): 357-84

32. Some Aspects of the Statistical Theory of Turbulence

*Proceedings of the 4th Symposium of the American Mathematical Society*: Fluid Dynamics, 1-17. University of Maryland, 1951

33. Turbulence--A Physical Theory of Astrophysical Interest (Henry Norris Russell Lecture)

*The Astrophysical Journal*110, no. 3 (1949): 329-39

*Part Four - Hydromagnetic Problems in Astrophysics*

34. Magnetic Fields in Spiral Arms. With E. Fermi

*The Astrophysical Journal*118, no. 1 (1953): 113-15

35. Problems of Gravitational Stability in the Presence of a Magnetic Field. With E. Fermi

*The Astrophysical Journal*118, no. 1 (1953): 116-41

36. On the Pulsation of a Star in Which There is a Prevalent Magnetic Field. With D. Nelson Limber

*The Astrophysical Journal*119, no. 1 (1954): 10-13

37. The Equilibrium of Magnetic Stars. With Kevin H. Prendergast

*Proceedings of the National Academy of Sciences*42, no. 1 (1956): 5-9

38. On Cowling's Theorem on the Impossibility of Self-Maintained Axisymmetric Homogeneous Dynamos. With G. E. Backus

*Proceedings of the National Academy of Sciences*42, no. 3 (1956): 105-9

39. Axisymmetric Magnetic Fields and Fluid Motions

*The Astrophysical Journal*124, no. 1 (1956): 232-43

40. Effect of Internal Motions on the Decay of a Magnetic Field in a Fluid Conductor

*The Astrophysical Journal*124, no. 1 (1956): 244-65

41. Hydromagnetic Oscillations of a Fluid Sphere with Internal Motions

*The Astrophysical Journal*124, no. 3 (1956): 571-79

42. On Force-Free Magnetic Fields

*Proceedings of the National Academy of Sciences*42, no. 1 (1956): 1-5

43. On Force-Free Magnetic Fields, With P. C. Kendall

*The Astrophysical Journal*126, no. 2 (1957): 457-60

44. On Force-Free Magnetic Fields, With L. Woltjer

*Proceedings of the National Academy of Sciences*44, no. 4 (1958): 285-89

45. On the Equilibrium Configurations of an Incompressible Fluid with Axisymmetric Motions and Magnetic Fields

*Proceedings of the National Academy of Sciences*44, no. 9 (1958): 842-47

46. On Cosmic Magnetic Fields

*Proceedings of the National Academy of Sciences*43, no. 1 (1957): 24-27

**Physical Sciences: **
Astronomy and Astrophysics |
Physics and Astronomy |
Theoretical Physics

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