Density fluctuations and the pair distribution function

Physical Review B - Condensed Matter and Materials Physics

Volumn 72, Issue 2, 2005, Pages

  Levashov, V A ^a   Billinge, S J L ^b   Thorpe, M F ^c  

^a UNIVERSITY OF TENNESSEE   (United States)

^b MICHIGAN STATE UNIVERSITY   (United States)

^c ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749159504     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.024111     Document Type: Article

References (19)

1. F. Zernicke and J. A. Prins, Phys. Z. PHZTAO 0369-982X 41, 184 (1927).
2. P. J. W. Debye and H. Menke, Phys. Z. PHZTAO 0369-982X 31, 797 (1930).
3. B. E. Warren, X-Ray Diffraction (Dover Publication, Inc., New York, 1969).
4. T. Egami and S. J. L. Billinge, Underneath the Bragg Peaks: Structural Analysis of Complex Materials (Kluwer/Plenum, Oxford, 2003).
5. Th. Proffen, S. J. L. Billinge, T. Egami, and D. Louca, Z. Kristallogr. ZEKRDZ 0044-2968 218, 132 (2003).
6. For a summary of what is known about the Gauss Circle Problem, see http://mathworld.wolfram.com/GausssCircleProblem.html
7. Pavel M. Bleher, Freeman J. Dyson, and Joel L. Lebowitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.3047 71, 3047 (1993).
8. Salvatore Torquato and Frank H. Stillinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.041113 68, 041113 (2003).
9. M. N. Huxley, Proc. London Math. Soc. PLMTAL 60, 471 (1990).
10. J. S. Chung and M. F. Thorpe, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.1545 55, 1545 (1997).
11. M. F. Thorpe, V. A. Levashov, M. Lei, and S. J. L. Billinge, in From Semiconductors to Proteins: Beyond the Average Structure, edited by, S. J. L. Billinge, and, M. F. Thorpe, (Kluwer Academic/Plenum Publishers, New York, 2002), p. 105.
12. D. A. Dimitrov, H. Röder, and A. R. Bishop, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.14303 64, 14303 (2001).
13. M. F. Thorpe, J. S. Chung, S. J. L. Billinge, and F. Mohiuddin-Jacobs, in Local Structure from Diffraction, edited by, S. J. L. Billinge, and, M. F. Thorpe, (Plenum Press, New York, 1998), p. 157.
14. I. K. Jeong, R. H. Heffner, M. J. Graf, and S. J. L. Billinge, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.104301 67, 104301 (2003).
15. L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, New York, 1980); p. 1
16. G. T. Barkema and N. Mousseau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.4985 62, 4985 (2000).
17. R. L. C. Vink, G. T. Barkema, M. A. Stijnman, and R. H. Bisseling, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.245214 64, 245214 (2001).
18. S. R. Elliot, Physics of Amorphous Materials (Longman, London, 1984).
19. L. von Heimendahl and M. F. Thorpe, J. Phys. F: Met. Phys. JPFMAT 0305-4608 10.1088/0305-4608/5/6/002 5, L87-91 (1975).