Artículo
Strier, D.E.; Chernomoretz, A.; Ponce Dawson, S. "Slow time evolution of two-time-scale reaction-diffusion systems: The physical origin of nondiffusive transport" (2002) Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 65(4):14
Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
We study, from a mesoscopic point of view, the slow time-scale dynamics of a mixture of chemicals in which there is a chemical reaction that occurs much faster than all other processes, including diffusion. For a simple paradigmatic model reaction, it is possible to find a reduced set of dynamical equations analytically. This procedure, which yields the same mean field equations as the macroscopic approach described by Strier and Dawson [J. Chem. Phys, 112, 825 (2000)], clarifies the physical origin of some of the terms that appear in the reduced reaction-diffusion equations, such as “negative density dependent cross diffusion terms,” whose actual meaning is hard to assess within the macroscopic framework. We also present a two-time-scale reactive lattice gas automaton with which it is possible to check the validity of the analytical results and the conditions under which the reduced description holds. Using this lattice gas we also show how the differential interaction with immobile species can give rise to the formation of stable Turing patterns in a system where all the other chemicals diffuse approximately at the same rate. © 2002 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Slow time evolution of two-time-scale reaction-diffusion systems: The physical origin of nondiffusive transport |
| Autor: | Strier, D.E.; Chernomoretz, A.; Ponce Dawson, S. |
| Filiación: | Departamento de Física Facultad de Ciencias Exactas y Naturales, UBA Ciudad Universitaria, Pabellón I (1428), Buenos Aires, Argentina |
| Año: | 2002 |
| Volumen: | 65 |
| Número: | 4 |
| Página de inicio: | 14 |
| DOI: | http://dx.doi.org/10.1103/PhysRevE.65.046233 |
| Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Título revista abreviado: | Phys Rev E. |
| ISSN: | 1063651X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v65_n4_p14_Strier |
Referencias:
- G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium Systems (Wiley, New York, 1977); A.S. Mikhailov, Foundations of Synergetics I (Springer-Verlag, Berlín, 1991); Turing, A.M., (1952) Philos. Trans. R. Soc. London, Ser. B, 237, p. 37
- J.D. Murray, Mathematical Biology (Springer, New York, 1989), Chap. 12; F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw-Hill, New York, 1965); Cross, M.C., Hohenberg, P.C., (1993) Rev. Mod. Phys., 65, p. 851
- Dawson, S.P., D’Angelo, M.V., Pearson, J.E., (2000) Phys. Lett. B, B265, p. 346
- Kondo, S., Asai, R., (1995) Nature (London), 376, p. 765
- Sawai, S., Maeda, Y., Sawada, Y., (2000) Phys. Rev. Lett., 85, p. 2212
- Castets, V., Dulos, E., Boissonade, J., De Kepper, P., (1990) Phys. Rev. Lett., 64, p. 2953
- Ouyang, Q., Swinney, H., (1991) Nature (London), 352, p. 610
- Lengyel, I., Epstein, I., (1991) Science, 251, p. 650
- Wagner, J., Keizer, J., (1994) Biophys. J., 67, p. 447
- Allbritton, N.L., Meyer, T., Stryer, L., (1992) Science, 258, p. 1812
- Roberts, W.M., (1994) J. Neurosci., 14, p. 3246
- Smith, G.D., (1996) Biophys. J., 71, p. 3064
- Smith, G.D., Wagner, J., Keizer, J., (1996), 70, p. 2527; Naraghi, M., Neher, E., (1997) J. Neurosci., 17, p. 6961
- Berridge, M.J., Bootman, M.D., Lipp, P., (1998) Nature (London), 395, p. 645
- Strier, D.E., Dawson, S.P., (2000) J. Chem. Phys., 112, p. 825
- E.J. Hinch, Perturbation Methods (Cambridge University Press, Mexico City, 1992), p. 116; Sahimi, M., (1993) Rev. Mod. Phys., 65, p. 1393
- Pearson, J.E., Bruno, W., (1992) Chaos, 2, p. 513
- Dawson, S.P., Lawniczak, A., Kapral, R., (1994) J. Chem. Phys., 100, p. 5211
- Schnackenberg, J., (1979) J. Theor. Biol., 81, p. 389
- Boon, J.P., Dab, D., Kapral, R., Lawniczak, A., (1996) Phys. Rep., 273, p. 2
- Chen, S., Dawson, S.P., Doolen, G.D., Janecky, D.R., Lawniczak, A., (1995) Comput. Chem. Eng., 19, p. 10
- B. Chopard, M. Droz, S. Cornell, and L. Frachebourg, in Cellular Automata: Prospects in Astrophysical Applications, edited by J.M. Perdang and A. Lejeune (World Scientific, Singapore, 1993); Karapiperis, T., Blankleider, B., (1994) Physica D, 78, p. 30
- Zanette, D.H., (1992) Phys. Rev. A, 46, p. 7573
- Macnamara, G., Zanetti, G., (1988) Phys. Rev. Lett., 61, p. 2332
- Dawson, S.P., Chen, S., Doolen, G.D., (1993) J. Chem. Phys., 98, p. 1514
- N.G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981); B.C. Goodwin, J.D. Murray, and D. Baldwin, in Proceedings of the 6th International Symposium on Acetabularia, Pisa, 1984, edited by S. Bonotto, F. Cinelli, and R. Billiau (Belgian Nuclear Center, C.E.N.-S.C.K., Mol, Belgium, 1985); Falke, J.J., (1994) Q. Rev. Biophys., 27, p. 219
- D. E. Strier and S. P. Dawson (to be published); Selkov, E.E., (1968) Eur. J. Biochem., 4, p. 79
- Hasslacher, B., Kapral, R., Lawniczak, A., (1993) Chaos, 3, p. 7
- Kapral, R., Lawniczak, A., Masiar, P., (1992) J. Chem. Phys., 96, p. 2762
Citas:
---------- APA ----------
Strier, D.E., Chernomoretz, A. & Ponce Dawson, S. (2002) . Slow time evolution of two-time-scale reaction-diffusion systems: The physical origin of nondiffusive transport. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 65(4), 14.http://dx.doi.org/10.1103/PhysRevE.65.046233
---------- CHICAGO ----------
Strier, D.E., Chernomoretz, A., Ponce Dawson, S. "Slow time evolution of two-time-scale reaction-diffusion systems: The physical origin of nondiffusive transport" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 65, no. 4 (2002) : 14.http://dx.doi.org/10.1103/PhysRevE.65.046233
---------- MLA ----------
Strier, D.E., Chernomoretz, A., Ponce Dawson, S. "Slow time evolution of two-time-scale reaction-diffusion systems: The physical origin of nondiffusive transport" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 65, no. 4, 2002, pp. 14.http://dx.doi.org/10.1103/PhysRevE.65.046233
---------- VANCOUVER ----------
Strier, D.E., Chernomoretz, A., Ponce Dawson, S. Slow time evolution of two-time-scale reaction-diffusion systems: The physical origin of nondiffusive transport. Phys Rev E. 2002;65(4):14.http://dx.doi.org/10.1103/PhysRevE.65.046233
