Information entropy of complex structures

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 5, 1997, Pages 5211-5215

  Van Siclen, Clinton DeW ^a  

^a IDAHO NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243685137     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.5211     Document Type: Article

References (15)

1. R. Hilfer, Adv. Chem. Phys. XCII, 299 (1996).ADCPAA
2. S. Torquato and G. Stell, J. Chem. Phys. 77, 2071 (1982); JCPSA6
3. S. Torquato, J. Stat. Phys. 45, 843 (1986); JSTPBS
4. Appl. Mech. Rev. 44, 37 (1991); AMREAD
5. Physica A 207, 79 (1994).PHYADX
6. A. Beghdadi, C. Andraud, J. Lafait, J. Peiro, and M. Perreau, Fractals 1, 671 (1993).FRACEG
7. C. Andraud, A. Beghdadi, and J. Lafait, Physica A 207, 208 (1994).PHYADX
8. C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois, Urbana, 1959).
9. F. Boger, J. Feder, T. Jøssang, and R. Hilfer, Physica A 187, 55 (1992).PHYADX
10. C. Andraud, A. Beghdadi, E. Haslund, R. Hilfer, J. Lafait, and B. Virgin, Physica A 235, 307 (1997).PHYADX
11. B. Lu and S. Torquato, J. Chem. Phys. 93, 3452 (1990).JCPSA6
12. L. Brillouin, Science and Information Theory (Academic, New York, 1956).
13. For example, the character string “zzzzz” has a configurational-local porosity entropy of zero since all elements of the string are identical, while it has information entropy (average information content per character) equal to (Formula presented) reflecting the infrequency of occurrence of the letter (Formula presented) in the English language.
14. The base 10 logarithm is used throughout this section to produce the figures; there is no technical reason to prefer one base over another.
15. A mathematical identity useful for calculating (Formula presented) and (Formula presented) for large systems is (Formula presented)