Random distance distribution for spherical objects: General theory and applications to physics

Journal of Physics A: Mathematical and General

Volumn 35, Issue 31, 2002, Pages 6557-6570

  Tu, Shu Ju ^a   Fischbach, Ephraim ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037047601     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/31/303     Document Type: Article

References (45)

1. Schleef D et al 1999 J. Math. Phys. 40 1103
2. Parry M and Fischbach E 2000 J. Math. Phys. 41 2417
3. Fischbach E 1996 Am. Phys., NY 247 213
4. Fischbach E et al 1995 Phys. Rev. D 52 5417
5. Tu S J 2001 PhD Thesis Purdue University West Lafayette, IN p 1
6. Deltheil R 1919 Am. Fac. Sci. Toulouse 11 1
7. Hammersley J 1950 Ann. Math. Stat. 21 447
8. Lord R 1954 Ann. Math. Stat. 25 794
9. Kendall M O and Moran P A P 1963 Geometrical Probability (New York: Hafner)
10. Santaló L A 1976 Integral Geometry and Geometric Probability (Reading, MA: Addison-Wesley)
11. Overhauser A W 1995 unpublished
12. Fedotov N 1998 Pattern Recognit. Image Anal. 8 264
13. Jansons K 1991 Proc. R. Soc. A 432 495
14. Mecke K 1998 Int. J. Mod. Phys. B 12 861
15. Miles R 1980 Comput. Graph. Image Process. 12 1
16. Gardiner C W 1985 Handbook of Stochastic Methods 2nd edn (New York: Springer)
17. van Kampen N G 1992 Stochastic Processes in Physics and Chemistry (Amsterdam: North-Holland)
18. Jackson J D 1999 Classical Electrodynamics 3rd edn (New York: Wiley)
19. Arfken G and Weber H 1995 Mathematical Methods for Physicists 4th edn (New York: Academic)
20. Feller W 1967 An Introduction to Probability Theory and Its Application 3rd edn (New York: Wiley)
21. Fleming W 1977 Functions of Several Variables (New York: Springer)
22. Tu S J 2002 Random distance distribution for a sphere in preparation
23. Munera H A 1986 Nature 320 597
24. Webb S 1986 Nature 323 20
25. Wille L T 1986 Nature 324 46
26. Edmunson J R 1992 Acta Crystallogr. A 48 60
27. Glasser L and Every A G 1992 J. Phys. A: Math. Gen. 25 2473
28. Edmunson J R 1993 Acta Crystallogr. A 49 648
29. Altschuler E L et al 1994 Phys. Rev. Lett. 72 2671
30. Erber T and Hockney G M 1995 Phys. Rev. Lett. 74 1482
31. Morris J R 1996 Phys. Rev. B 53 1740
32. Bohr A and Mottelson B R 1969 Nuclear Structure vol 1 (New York: Benjamin) p 141
33. Woodahl B and Fischbach E 2000 Phys. Rev. D 61 125010
34. Woodahl B and Fischbach E 2000 Phys. Rev. D 62 045025
35. Woodahl B and Fischbach E 2001 Phys. Rev. D 63 065006
36. Pines D 1980 J. Physique 41 111
37. Shapiro S and Teukolsky S 1983 Black Holes, White Dwarfs and Neutron Stars (New York: Wiley)
38. Knuth D E 1981 The Art of Computer Programming vol 2 (Reading, MA: Addison-Wesley)
39. Press W H et al 1992 Numerical Recipes (New York: Cambridge University Press)
40. Vattulainen I et al 1994 Phys. Rev. Lett. 73 2513
41. Holian B L et al 1994 Phys. Rev. E 50 1607
42. Tretiakov K V and Wojciechowski K W 1999 Phys. Rev. E 60 7626
43. Bailey D and Ferguson H 2001 webpage http:www.nersc.govnewspi_random072401.html
44. Tu S J 2002 A new computational randomness test in preparation
45. Arkani-Hamed N et al 1999 Phys. Rev. D 59 86004