Two-species reaction-diffusion system with equal diffusion constants: Anomalous density decay at large times

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

Volumn 62, Issue 3 A, 2000, Pages 3276-3280

  Konkoli, Zoran ^a,b   Johannesson, Henrik ^b  

^a NORDITA   (Denmark)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; KINETIC THEORY; MATHEMATICAL MODELS; MONTE CARLO METHODS; RATE CONSTANTS;

RENORMALIZATION GROUP ANALYSIS;

STATISTICAL MECHANICS;

EID: 0034269883     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.3276     Document Type: Article

References (14)

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3. K. Šolc and W. H. Stockmayer, J. Chem. Phys. 54, 2981 (1971).
4. Z. Konkoli, H. Johannesson, and B. P. Lee, Phys. Rev. E 59, R3787 (1999).
5. M. Howard, J. Phys. A 29, 3437 (1996).
6. P. L. Sachdev, Nonlinear Ordinary Differential Equations and Their Applications (Dekker, New-York, 1991).
7. M. Doi, J. Phys. A 9, 1465, 1479 (1976); L. Peliti, J. Phys. (Paris) 46, 1469 (1985).
8. M. Doi, J. Phys. A 9, 1465, 1479 (1976); L. Peliti, J. Phys. (Paris) 46, 1469 (1985).
9. D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena (World Scientific, Singapore, 1984).
10. We should here warn the reader that the time-dependent rates in Eqs. (7) carry a different meaning from those in the more conventional Smoluchowski approach [2].
11. B. P. Lee, J. Phys. A 27, 2633 (1994).
12. Z. Konkoli and H. Johannesson (unpublished).
13. See, e.g., D. ben-Avraham, J. Chem. Phys. 88, 941 (1988).
14. The decoupling can also be achieved by sending the reaction rates to infinity, keeping D fixed. The two procedures are equivalent, up to a rescaling of the time variable.