Diffusion-limited reactions and mortal random walkers in confined geometries

Journal of Statistical Physics

Volumn 134, Issue 2, 2009, Pages 307-336

  Lohmar, Ingo ^a   Krug, Joachim ^a  

^a UNIVERSITY OF COLOGNE   (Germany)

Author keywords

Astrochemistry; First passage problem; Geometry; Mortal random walk; Reaction diffusion model

Indexed keywords

EID: 60449099420     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-009-9680-x     Document Type: Article

References (24)

1. R.J. Gould E.E. Salpeter 1963 The interstellar abundance of the hydrogen molecule. I. Basic processes Astrophys. J. 138 393 407
2. D. Hollenbach E.E. Salpeter 1971 Surface adsorption of light gas atoms J. Chem. Phys. 53 79 86
3. D. Hollenbach E.E. Salpeter 1971 Surface recombination of hydrogen molecules Astrophys. J. 163 155 164
4. 1 regions Astrophys. J. 163 165 180
5. N.J.B. Green T. Toniazzo M.J. Pilling D.P. Ruffle N. Bell T.W. Hartquist 2001 A stochastic approach to grain surface chemical kinetics Astron. Astrophys. 375 1111 1119
6. O. Biham A. Lipshtat 2002 Exact results for hydrogen recombination on dust grain surfaces Phys. Rev. E 66 056,103
7. I. Lohmar J. Krug 2006 The sweeping rate in diffusion-mediated reactions on dust grain surfaces Mon. Nat. R. Astron. Soc. 370 1025 1033 arXiv:astro-ph/0604021
8. J. Krug 2003 Lonely adatoms in space Phys. Rev. E 67 065,102(R)
9. 2 formation on interstellar grains Astron. Astrophys. 434 599 611
10. A.A. Lushnikov J.S. Bhatt I.J. Ford 2003 Stochastic approach to chemical kinetics in ultrafine aerosols J. Aerosol Sci. 34 1117 1133
11. E.W. Montroll 1969 Random walks on lattices. III. Calculation of first-passage times with application to exciton trapping on photosynthetic units J. Math. Phys. 10 753
12. M. Slutsky M. Kardar L.A. Mirny 2004 Diffusion in correlated random potentials, with applications to DNA Phys. Rev. E 69 061,903 10.1103/PhysRevE.69.061903 arXiv:q-bio/0310008
13. M. Slutsky L.A. Mirny 2004 Kinetics of protein-DNA interaction: Facilitated target location in sequence-dependent potential Biophys. J. 87 4021 4035 10.1529/biophysj.104.050765
14. W.T.F. den Hollander P.W. Kasteleyn 1982 Random walks with 'spontaneous emission' on lattices with periodically distributed imperfect traps Physica A 112 523 543
15. I. Langmuir 1918 The adsorption of gases on plane surfaces of glass, mica and platinum J. Am. Chem. Soc. 40 1361 1403
16. E.W. Montroll G.H. Weiss 1965 Random walks on lattices. II J. Math. Phys. 6 167
17. Hughes, B.D.: Random Walks and Random Environments, vol. 1. Oxford University Press, London (1995)
18. M.D. Hatlee J.J. Kozak 1980 Random walks on finite lattices with traps Phys. Rev. B 21 1400 1407
19. D. Bedeaux K. Lakatos-Lindenberg K.E. Shuler 1971 On the relation between master equations and random walks and their solutions J. Math. Phys. 12 2116 2123
20. S. Condamin O. Bénichou M. Moreau 2005 First-passage times for random walks in bounded domains Phys. Rev. Lett. 95 260601
21. S. Condamin O. Bénichou 2006 Exact expressions of mean first-passage times and splitting probabilities for random walks in bounded rectangular domains J. Chem. Phys. 124 206103
22. S. Condamin O. Bénichou M. Moreau 2007 Random walks and Brownian motion: A method of computation for first-passage times and related quantities in confined geometries Phys. Rev. E 75 021111
23. E.W. Montroll H. Scher 1973 Random walks on lattices iv. Continuous-time walks and influence of absorbing boundaries J. Stat. Phys. 9 101 135
24. F. van Wijland S. Caser H.J. Hilhorst 1997 Statistical properties of the set of sites visited by the two-dimensional random walk J. Phys. A 30 507 531