Critical behavior of a one-dimensional diffusive epidemic process

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

Volumn 63, Issue 6, 2001, Pages

  Fulco, U L ^a   Messias, D N ^a   Lyra, M L ^a  

^a FEDERAL UNIVERSITY OF ALAGOAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHEMICAL REACTIONS; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; MONTE CARLO METHODS; NONLINEAR EQUATIONS; ONE DIMENSIONAL; PHASE TRANSITIONS; SURFACE PHENOMENA;

FINITE SCALING ANALYSIS; ONE DIMENSIONAL DIFFUSIVE EPIDEMIC PROCESS; REACTION-DIFFUSION DECAY PROCESS; SECOND ORDER PHASE TRANSITION; WILSON RENORMALIZATION GROUP METHOD;

DIFFUSION;

EID: 0035363414     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.066118     Document Type: Article

References (19)

1. N.G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).
2. H. Park and S. Kwon, Braz. J. Phys. 30, 133 (2000).
3. S. Kwon, J. Lee, and H. Park, Phys. Rev. Lett. 85, 1682 (2000).
4. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, England, 1999), and references therein.
5. B. Chopard and M. Droz, Cellular Automata Modelling of Physical Systems (Cambridge University Press, Cambridge, 1998).
6. G.M. Schütz, Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic Press, New York, 2000), Vol. 19.
7. J. Hooyberghs and C. Vanderzande, J. Phys. A 30, 7721 (2000).
8. J. Cardy and U.C. Täuber, Phys. Rev. Lett. 77, 4780 (1996).
9. D.C. Mattis and M.L. Glasser, Rev. Mod. Phys. 70, 979 (1998).
10. F. van Wijland, K. Oerding, and H.J. Hilhorst, Physica A 251, 179 (1998).
11. R. Dickman, Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, England, 1996).
12. I. Jensen, Phys. Rev. Lett. 70, 1465 (1993).
13. R. Dickman and J.K.L. da Silva, Phys. Rev. E 58, 4266 (1998).
14. H.K. Jansen, Z. Phys. B: Condens. Matter 42, 151 (1981).
15. R. Kree, B. Schaub, and B. Schmittmann, Phys. Rev. A 39, 2214 (1989).
16. K. Oerding, F. van Wijland, J.P. Leroy, and H.J. Hilhorst, J. Stat. Phys. 99, 1365 (2000).
17. J.E. de Freitas, L.S. Lucena, L.R. da Silva, and H.J. Hilhorst, Phys. Rev. E 61, 6330 (2000).
18. H.K. Jansen, e-print cond-mat/0007366.
19. J.E. de Freitas, L.S. Lucena, L.R. da Silva, and H.J. Hilhorst, e-print cond-mat/0008126.