Front propagation up a reaction rate gradient

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

Volumn 72, Issue 6, 2005, Pages

  Cohen, Elisheva ^a,b   Kessler, David A ^a,b   Levine, Herbert ^b  

^a BAR ILAN UNIVERSITY   (Israel)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CRITICAL CURRENT DENSITY (SUPERCONDUCTIVITY); DIFFERENTIAL EQUATIONS; LATTICE CONSTANTS; REACTION KINETICS;

BULK PARTICLE DENSITY; FRONT PROPAGATION; NEAREST-NEIGHBOR HOPPING; REACTION-DIFFUSION SYSTEMS;

DIFFUSION;

EID: 33244463026     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.066126     Document Type: Article

References (24)

1. W. van Saarloos, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2003.08. 001 386, 29 (2003).
2. D. A. Kessler, J. Koplik, and H. Levine, Adv. Phys. ADPHAH 0001-8732 10.1080/00018738800101379 37, 255 (1988).
3. A. I. Kolmogorov, I. Petrovsky, and N. Piscounov, Moscow Univ. Bull. Math. A 1, 1 (1937).
4. J. Mai, I. M. Sokolov, and A. Blumen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4462 77, 4462 (1996).
5. E. Ben-Jacob, Physica D PDNPDT 0167-2789 10.1016/0167-2789(85)90094-6 14, 348 (1985).
6. E. Brunet and B. Derrida, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.2597 56, 2597 (1997).
7. U. Ebert and W. van Saarloos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1650 80, 1650 (1998).
8. D. A. Kessler, Z. Ner, and L. M. Sander, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.107 58, 107 (1998).
9. L. Pechenik and H. Levine, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.3893 59, 3893 (1999).
10. D. A. Kessler and H. Levine, Nature (London) NATUAS 0028-0836 10.1038/29020 394, 556 (1998).
11. E. Cohen, D. A. Kessler, and H. Levine, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.158302 94, 158302 (2005).
12. Experimental propagation against a gradient appears in D. Giller, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.220502 63, 220502 (R) (2001).
13. R. A. Fisher, Annals of Eugenics 7, 355 (1937).
14. L. S. Tsimring, H. Levine, and D. A. Kessler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.4440 76, 4440 (1996);
15. D. Ridgway, H. Levine, and L. Tsimring, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02181235 87, 519 (1997).
16. I. M. Rouzine, J. Wakeley, and J. M. Coffin, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.242719299 100, 587 (2003).
17. This naive mean-field theory was studied in M. Freidlin, Lecture Notes in Mathematics, edited by, P. L. Hennequin, (Springer-Verlag, Berlin, 1992), Vol. 1527.
18. E. Brener, H. Levine, and Y. Tu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.1978 66, 1978 (1991).
19. T. B. Kepler and A. S. Perelson, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 92, 8219 (1995).
20. L. I. Slepyan, Dokl. Akad. Nauk SSSR DANKAS 0002-3264 258-259, 561 (1981)
21. L. I. Slepyan, [Sov. Phys. Dokl. SPHDA9 0038-5689 26, 538 (1981)].
22. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers I (Springer, New York, 1999), Sec. 5.3.
23. E. Brunet and B. Derrida, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004875804376 103, 269 (2001).
24. D. Panja, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.065202 68, 065202 (R) (2003).