Exact phase diagram of a model with aggregation and chipping

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

Volumn 63, Issue 3, 2001, Pages

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

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^b European Theoretical Spectroscopy Facility   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AGGLOMERATION; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CONDENSATION; LAPLACE TRANSFORMS; MASS TRANSFER; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; MOLECULAR STRUCTURE; PHASE DIAGRAMS; RANDOM PROCESSES; THERMODYNAMIC STABILITY;

BOSE-EINSTEIN CONDENSATION; GLAUBER MODELS; MASS DISTRIBUTION FUNCTIONS; TAKAYASU MODELS;

QUANTUM THEORY;

EID: 0035275714     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.036114     Document Type: Article

References (31)

1. For a recent review, see H. Hinrichsen, e-print cond-mat/0001070.
2. R.M. Ziff, E. Gulari, and Y. Barshad, Phys. Rev. Lett. 56, 2553 (1986).
3. F. Schögl, Z. Phys. 253, 147 (1972).
4. J. Kertész and D.E. Wolf, Phys. Rev. Lett. 62, 2571 (1989).
5. M.H. Kim and H. Park, Phys. Rev. Lett. 73, 2579 (1994).
6. J. López and H. Jensen, Phys. Rev. Lett. 81, 1734 (1998).
7. N. Menyhárd and G. Ódor, J. Phys. A 29, 7739 (1996).
8. J. Cardy and U.C. Täuber, J. Stat. Phys. 90, 1 (1998).
9. B. Derrida and M.R. Evans, in Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1997).
10. H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, Phys. Rev. Lett. 79, 2710 (1997);
11. H. HinrichsenR. LiviD. MukamelA. PolitiPhys. Rev. E 61, R1032 (2000).
12. T. Hwa and M. Munoz, Europhys. Lett. 41, 147 (1998).
13. S.N. Majumdar, S. Krishnamurthy, and M. Barma, Phys. Rev. E 61, 6337 (2000).
14. L. Giada and M. Marsili, e-print cond-mat/0005442.
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. P.L. Krapivsky and S. Redner, Phys. Rev. E 54, 3553 (1996).
18. I. Ispolatov and P.L. Krapivsky, e-print cond-mat/0002047.
19. H. Takayasu and Y-H. Taguchi, Phys. Rev. Lett. 70, 782 (1993).
20. J. Krug and J. Garcia, J. Stat. Phys. 99, 31 (2000).
21. R. Rajesh and S.N. Majumdar, J. Stat. Phys. 99, 943 (2000).
22. R.J. Glauber, J. Math. Phys. 4, 294 (1963).
23. R. Rajesh and S.N. Majumdar, Phys. Rev. E 62, 3186 (2000).
24. M. Lewandowska, H. Mathur, and Y.-K. Yu, e-print cond-mat/0007109.
25. H. Takayasu, Phys. Rev. Lett. 63, 2563 (1989);
26. H. Takayasu, I. Nishikawa, and H. Tasaki, Phys. Rev. A 37, 3110 (1988).
27. S.N. Majumdar and D. Huse, Phys. Rev. E 52, 270 (1995).
28. J. Krug and H. Spohn, in Solids Far from Equilibrium, edited by C. Godreche (Cambridge University Press, Cambridge, 1991);
29. T.J. Halpin-Healy and Y.C. Zhang, Phys. Rep. 254, 215 (1995).
30. S.N. Coppersmith, C.-H. Liu, S.N. Majumdar, O. Narayan, and T.A. Witten, Phys. Rev. E 53, 4673 (1996).
31. R. Rajesh and S. N. Majumdar (unpublished).