The relevance of Pólya's random-walk problem for the single-species reaction-diffusion system

Europhysics Letters

Volumn 38, Issue 5, 1997, Pages 323-328

  Alemany, P A ^a,b  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b Theoretische Polymerphysik   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031562843     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1997-00246-4     Document Type: Article

References (14)

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2. WEISS G. H., Aspects and Applications of the Random Walk, in Random Materials and Processes. Series, edited by H. E. STANLEY and E. GUYON (North-Holland) 1994.
3. HUGHES B., Random-Walks and Random Environments, Vol. 1 (Clarendon Press) 1995.
4. DOERING C. R. and BEN-AVRAHAM D., Phys. Rev. A, 38 (1988) 3035.
5. SPOUGE J. L., Phys. Rev. Lett., 60 (1988) 871.
6. ALEMANY P. A. and WIO H., The diffusion-limited reactions A + A → A and A + A → 0 as CTRW on lattices: Closed expressions for the particle concentration and its fluctuations in integer dimension, ICTP preprint No. IC/96/186.
7. GLASSER M. L. and MONTALDI E., Phys. Rev. E, 48 (1993) R2339.
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9. 3 Γ(1/24), but an unfortunate printing mistake in this original paper has been reproduced in many other works. (GLASSER M. L., private communication).
10. We remark that this is the first time that the prefactors are obtained exactly, see ref. [6] for more details.
11. ALEMANY P. A. and ZANETTE D. H., Chaos, Solitons and Fractals, 6 (1995) 7.
12. ALEMANY P. A., Novel decay laws for the one-dimensional reaction-diffusion model A + A → (2 - ∈)A as consequence of initial distributions, to be published in J. Phys. A (1997).
13. ALEMANY P. A., ZANETTE D. H. and WIO H. S., Phys. Rev. E, 50 (1994) 3646.
14. PELITI L., J. Phys. A, 19 (1986) L365.