Optimal reaction time for surface-mediated diffusion

Physical Review Letters

Volumn 105, Issue 15, 2010, Pages

  Benichou O ^a   Grebenkov, D ^b   Levitz, P ^b   Loverdo, C ^a   Voituriez, R ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b LABORATOIRE DE PHYSIQUE DE LA MATIÈRE CONDENSÉE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BULK DIFFUSIONS; DESORPTION RATE; EXACT CALCULATIONS; INTERFACIAL REACTIONS; INTERFACIAL SYSTEMS; MEAN FIRST-PASSAGE TIME; MINIMAL MODEL; REACTION TIME; SMALL TARGETS; SPHERICAL DOMAIN; SWITCHING DYNAMICS;

DESORPTION; DIFFUSION; TWO DIMENSIONAL;

SURFACE REACTIONS;

EID: 77957772065     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.150606     Document Type: Article

References (35)

1. R.D. Astumian and P.B. Chock, J. Phys. Chem. 89, 3477 (1985). JPCHAX 0022-3654 10.1021/j100262a012
2. G.C. Bond, Heterogeneous Catalysis: Principles and Applications (Clarendon, Oxford, 1987).
3. O.G. Berg, R.B. Winter, and P.H. von Hippel, Biochemistry MIRBD9 0144-0578 20, 6929 (1981). 10.1021/bi00527a028
4. G. Adam and M. Delbrück, Reduction of Dimensionality in Biological Diffusion Processes (W.H. Freeman Co., Publishers, San Francisco, 1968).
5. H. Sano and M. Tachiya, J. Chem. Phys. 75, 2870 (1981). JCPSA6 0021-9606 10.1063/1.442360
6. Z. Schuss, A. Singer, and D. Holcman, Proc. Natl. Acad. Sci. U.S.A. 104, 16098 (2007). PNASA6 0027-8424 10.1073/pnas.0706599104 (Pubitemid 350103425)
7. M.J. Ward and J.B. Keller, SIAM J. Appl. Math. 53, 770 (1993). SMJMAP 0036-1399 10.1137/0153038
8. I.V. Grigoriev, Y.A. Makhnovskii, A.M. Berezhkovskii, and V.Y. Zitserman, J. Chem. Phys. 116, 9574 (2002). JCPSA6 0021-9606 10.1063/1.1475756 (Pubitemid 34690606)
9. A. Singer, Z. Schuss, and D. Holcman, J. Stat. Phys. 122, 465 (2006). JSTPSB 0022-4715 10.1007/s10955-005-8027-5 (Pubitemid 43305571)
10. D.S. Grebenkov, Phys. Rev. E PLEEE8 1539-3755 76, 041139 (2007). 10.1103/PhysRevE.76.041139 (Pubitemid 350037155)
11. S. Condamin, O. Bénichou, and M. Moreau, Phys. Rev. Lett. 95, 260601 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.260601 (Pubitemid 43061522)
12. S. Condamin O. Bénichou M. Moreau Phys. Rev. E PLEEE8 1539-3755 75, 021111 (2007). 10.1103/PhysRevE.75.021111
13. S. Condamin, Nature (London) NATUAS 0028-0836 450, 77 (2007); 10.1038/nature06201 (Pubitemid 350070561)
14. O. Bénichou, B. Meyer, V. Tejedor, and R. Voituriez, Phys. Rev. Lett. 101, 130601 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.130601
15. O. Bénichou, Phys. Rev. Lett. 94, 198101 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.198101 (Pubitemid 41493011)
16. O. Bénichou J. Phys. Condens. Matter JCOMEL 0953-8984 17, S4275 (2005). 10.1088/0953-8984/17/49/020 (Pubitemid 41744545)
17. O. Bénichou, C. Loverdo, M. Moreau, and R. Voituriez, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10, 7059 (2008). 10.1039/b811447c
18. J. Reingruber and D. Holcman, Phys. Rev. Lett. 103, 148102 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.148102
19. M.A. Lomholt, K. Tal, R. Metzler, and K. Joseph, Proc. Natl. Acad. Sci. U.S.A. 105, 11055 (2008). PNASA6 0027-8424 10.1073/pnas.0803117105
20. O. Bénichou, C. Loverdo, M. Moreau, and R. Voituriez, J. Phys. Condens. Matter JCOMEL 0953-8984 19, 065141 (2007). 10.1088/0953-8984/19/6/ 065141 (Pubitemid 46478518)
21. G. Oshanin, H.S. Wio, K. Lindenberg, and S.F. Burlatsky, J. Phys. Condens. Matter JCOMEL 0953-8984 19, 065142 (2007). 10.1088/0953-8984/19/6/ 065142 (Pubitemid 46478519)
22. S.N. Majumdar, Curr. Sci. CUSCAM 0011-3891 77, 370 (1999).
23. O. Bénichou, Europhys. Lett. 70, 42 (2005). EULEEJ 0295-5075 10.1209/epl/i2005-10001-y
24. P. Levitz, Phys. Rev. Lett. 96, 180601 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.180601
25. P. Levitz Phys. Rev. E PLEEE8 1539-3755 78, 030102 (2008). 10.1103/PhysRevE.78.030102
26. A.V. Chechkin, Phys. Rev. E PLEEE8 1539-3755 79, 040105(R) (2009). 10.1103/PhysRevE.79.040105
27. G. Oshanin, M. Tamm, and O. Vasilyev, J. Chem. Phys. 132, 235101 (2010). JCPSA6 0021-9606 10.1063/1.3442906
28. S. Pillay, M.J. Ward, A. Peirce, and T. Kolokolnikov, Multiscale Model. Simul. MMSUBT 1540-3459 8, 803 (2010). 10.1137/090752511
29. A.F. Cheviakov, M.J. Ward, and R. Straube, Multiscale Model. Simul. MMSUBT 1540-3459 8, 836 (2010). 10.1137/100782620
30. O. Bénichou and R. Voituriez, Phys. Rev. Lett. 100, 168105 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.168105 (Pubitemid 351585520)
31. S. Redner, A Guide To First- Passage Processes (Cambridge University Press, Cambridge, U.K., 2001).
32. G. Barton, Elements of Green's Functions and Propagation (Oxford Science Publications, New York, 1989).
33. See supplementary material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.105.150606 for calculation details.
34. O. Bénichou, Nature Chem. 1755-4330 2, 472 (2010). 10.1038/nchem.622
35. O. Bénichou, arXiv:1006.4758v1.