A conductivity-dependent phase transition from closed-loop to open-loop dendritic networks

Complexity

Volumn 9, Issue 1, 2003, Pages 56-60

  Smyth, David ^a   Hübler, Alfred ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

Conductivity ratio; Dissipative systems; Hierarchical networks

Indexed keywords

CASTOR;

EID: 2142754139     PISSN: 10762787     EISSN: None     Source Type: Journal    
DOI: 10.1002/cplx.10117     Document Type: Article

References (27)

1. Rodriguez-Iturbe, I.; Rinaldo, A. Fractal River Basins: Chance and Self-Organization; Cambridge University Press: Cambridge, 1997.
2. Dodds, P.S.; Rothman, D.H. Phys Rev E 2001, 63, 016115-016117.
3. Rodriguez-Iturbe, I., et al. Water Resour Res. 1992, 28, 1095.
4. Rinaldo, A., et al. Water Resour Res 1992, 28, 2183.
5. Zamir, M.; Wrigley, S.M.; Langille, B.L. J Gen Physiol 1983, 81, 325.
6. Turcotte, D.L.; Pelletier, J.D.; Newman, W.I. J Theor Biol 1998, 193, 577.
7. Zamir, M. J Theor Biol 1999, 197, 517.
8. Merté, B., et al. Helvetica Phys Acta 1989, 62, 294.
9. Hadwich, G., et al. Helvet Phys Acta 1990, 63, 487.
10. Dueweke, M. Ph.D. thesis, University of Illinois at Urbana-Champaign, 1997 (unpublished).
11. Witten, T.A.; Sander, L.M. Phys Rev Lett 1981, 47, 1400.
12. Meakin, P. Phys Rev Lett 1983, 51, 1119.
13. Cates, M.E. J Phys A 1984, 17, L487.
14. Plischke, M.; Racz, Z. Phys Rev Lett 1984, 53, 415.
15. Vannimenus, J.; Nickel, B.; Hakim, V. Phys Rev B 1984, 30, 391.
16. Scheiddeger, A.E. Bull Int Assoc Sci Hydrol 1967, 12, 15.
17. Dhar, D.; Ramaswamy, R. Phys Rev Lett 1985, 54, 1346.
18. Niemann, J.D., et al. Geomorphology 2001, 40, 37.
19. Maritan, A., et al. Phys Rev E 1996, 53, 1510.
20. Sun, T.; Meakin, P.; Jøssang, T. Phys Rev E 1994, 49, 4865.
21. Sun, T.; Meakin, P.; Jøssang, T. Phys Rev E 1995, 51, 5353.
22. Marani, M., et al. J Phys A 1998, 31, L337.
23. Somfai, E.; Sander, L.M. Phys Rev E 1997, 56, R5.
24. Banavar, J.R., et al. Phys Rev Lett 1997, 78, 4522.
25. Pastor-Satorras, R.; Rothman, D.H. Phys Rev Lett 1998, 80, 4349.
26. Giacometti, A. Phys Rev E 2000, 62, 6042.
27. Origin Help. OriginLab Corporation, Northampton, MA, 2000; ch. 16, pp 515-522.