Complex noise in diffusion-limited reactions of replicating and competing species

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 73, Issue 6, 2006, Pages

  Hochberg, David ^a   Zorzano, M P ^a   Morán, Federico ^a,b  

^a CENTRO DE ASTROBIOLOGÍA CSIC INTA   (Spain)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; PARTIAL DIFFERENTIAL EQUATIONS; RANDOM PROCESSES; REACTION KINETICS;

AMPLIFICATION TIME SCALE; CHOLESKY DECOMPOSITION; DENSITY FLUCTUATIONS; DIFFUSION-LIMITED REACTIONS;

HEAVY IONS;

EID: 33744954210     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.066109     Document Type: Article

References (20)

1. K. Kang and S. Redner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.955 52, 955 (1984).
2. M. P. Zorzano, D. Hochberg, and F. Morán, Physica A PHYADX 0378-4371 10.1016/j.physa.2003.10.064 334, 67 (2004).
3. M. Doi, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/9/9/008 9, 1465 (1976);
4. M. Doi, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/9/9/009 9, 1479 (1976).
5. L. Peliti, J. Phys. (France) JOPQAG 0302-0738 10.1088/0305-4470/9/9/008 46, 1469 (1985).
6. For a recent review, see U. C. Täuber, M. Howard, and B. P. Volmayr-Lee, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/17/R01 38, R79 (2005).
7. M. J. Howard and U. C. Täuber, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/22/011 30, 7721 (1997).
8. A single imaginary noise Langevin equation without diffusion has been treated in O. Deloubrière, L. Frachebourg, H. J. Hilhorst, and K. Kitahara, Physica A PHYADX 0378-4371 308, 135 (2002).
9. E. Domingo, C. K. Biebricher, M. Eigen, and J. J. Holland, Quasispecies and RNA Viruses: Principles and Consequences (Eureka.com, Austin, 2001).
10. M. Eigen and P. Schuster, The Hypercycle-A Principle of Natural Self-Organization (Springer, Berlin, 1979).
11. C. Biebricher and M. Eigen, Virus Res. VIREDF 0168-1702 107, 117 (2005).
12. C. K. Biebricher and M. Eigen, Curr. Top. Microbiol. Immunol. CTMIA3 0070-217X 299, 1 (2006).
13. M. A. Andrade, J. C. Nuño, F. Morán, F. Montero, and G. J. Mpitsos, Physica D PDNPDT 0167-2789 10.1016/0167-2789(93)90144-P 63, 21 (1993).
14. P. Chacón and J. C. Nuño, Physica D PDNPDT 0167-2789 10.1016/0167-2789(94)00214-B 81, 398 (1995).
15. M. B. Cronhjort and C. Blomberg, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(97)87469-6 101, 289 (1997).
16. D. Hochberg, M.-P. Zorzano, and F. Morán, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1900092 122, 214701 (2005).
17. I. R. Epstein, Nature (London) NATUAS 0028-0836 10.1038/374321a0 374, 321 (1995).
18. J. L. Cardy, in The Mathematical Beauty of Physics, edited by, J.-M. Drouffe, and, J.-B. Zuber, (World-Scientific, Singapore, 1996).
19. P. D. Drummond, C. W. Gardiner, and D. F. Walls, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.24.914 24, 914 (1981).
20. R. Pastor-Satorras and R. V. Solé, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.051909 64, 051909 (2001).