Exact calculation of the spatiotemporal correlations in the Takayasu model and in the q model of force fluctuations in bead packs

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

Volumn 62, Issue 3 A, 2000, Pages 3186-3196

  Rajesh, R ^a   Majumdar, Satya N ^a,b  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^b European Theoretical Spectroscopy Facility   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; DIFFUSION; INTERFACES (MATERIALS); MATHEMATICAL MODELS;

BEAD PACKS; TAKAYASU MODEL;

GEOPHYSICS;

EID: 0034270124     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.3186     Document Type: Article

References (26)

1. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987).
2. H. Takayasu, Phys. Rev. Lett. 63, 2563 (1989); H. Takayasu, I. Nishikawa, and H. Tasaki, Phys. Rev. A 37, 3110 (1988).
3. H. Takayasu, Phys. Rev. Lett. 63, 2563 (1989); H. Takayasu, I. Nishikawa, and H. Tasaki, Phys. Rev. A 37, 3110 (1988).
4. D. Dhar, e-print cond-mat/9909009.
5. A. E. Scheidegger, Bull. I.A.S.H. 12, 15 (1967).
6. D. Dhar and R. Ramaswamy, Phys. Rev. Lett. 63, 1659 (1989).
7. T. M. Liggett, Interacting Particle Systems (Springer-Verlag, New York, 1985); R. Durrett, Lecture Notes on Particle Systems and Percolation (Wadsworth, Belmont, 1988).
8. T. M. Liggett, Interacting Particle Systems (Springer-Verlag, New York, 1985); R. Durrett, Lecture Notes on Particle Systems and Percolation (Wadsworth, Belmont, 1988).
9. P. S. Dodds and D. H. Rothman, Phys. Rev. E 59, 4865 (1999).
10. S. N. Coppersmith, C.-h. Liu, S. N. Majumdar, O. Narayan, and T. A. Witten, Phys. Rev. E 53, 4673 (1996).
11. A. Maritan, A. Rinaldo, R. Rigon, A. Giacometti, and I. R. Iturbe, Phys. Rev. E 53, 1510 (1996); M. Cieplak, A. Giacometti, A. Maritan, A. Rinalodo, I. R. Iturbe, and J. R. Banavar, J. Stat. Phys. 91, 1 (1998).
12. A. Maritan, A. Rinaldo, R. Rigon, A. Giacometti, and I. R. Iturbe, Phys. Rev. E 53, 1510 (1996); M. Cieplak, A. Giacometti, A. Maritan, A. Rinalodo, I. R. Iturbe, and J. R. Banavar, J. Stat. Phys. 91, 1 (1998).
13. J. Krug and J. Garcia, J. Stat. Phys. 99, 31 (2000).
14. R. Rajesh and S. N. Majumdar, J. Stat. Phys. 99, 943 (2000).
15. S. N. Majumdar, S. Krishnamurthy, and M. Barma, Phys. Rev. Lett. 81, 3691 (1998).
16. S. N. Majumdar, S. Krishnamurthy, and M. Barma, J. Stat. Phys. 99, 1 (2000).
17. M. Takayasu and H. Takayasu in Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, England, 1997).
18. C.-h. Liu, S. R. Nagel, D. A. Schecter, S. N. Coppersmith, S. Majumdar, O. Narayan, and T. A. Witten, Science 269, 513 (1995).
19. H. Takayasu, M. Takayasu, A. Provata, and G. Huber, J. Stat. Phys. 65, 725 (1991).
20. S. N. Majumdar and C. Sire, Phys. Rev. Lett. 71, 3729 (1993).
21. M. R. Swift, F. Colaiori, A. Flammini, A. Maritan, A. Giacometti, and J. R. Banavar, Phys. Rev. Lett. 79, 3278 (1997).
22. P. Claudin, J.-P. Bouchaud, M. E. Cates, and J. P. Wittmer, Phys. Rev. E 57, 4441 (1998).
23. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Academic Press, London, 1980).
24. M. L. Nguyen and S. N. Coppersmith, Phys. Rev. E 59, 5870 (1999).
25. J. E. S. Socolar, Phys. Rev. E 57, 3204 (1998); M. G. Sexton, J. E. S. Socolar, and D. G. Schaeffer, ibid. 60, 1999 (1999).
26. J. E. S. Socolar, Phys. Rev. E 57, 3204 (1998); M. G. Sexton, J. E. S. Socolar, and D. G. Schaeffer, ibid. 60, 1999 (1999).