Artículo
Von Haeften, B.; Izús, G.; Deza, R.; Borzi, C. "Boundary effects on the dynamics of monostable reaction-diffusion systems" (1997) Physics Letters, Section A: General, Atomic and Solid State Physics. 236(5-6):403-408
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Abstract:
We study a monostable reaction-diffusion model in a bounded domain, subjected to partially reflecting boundary conditions. We analyze the stability of the arising patterns and detect a bifurcation of the uniform solution induced by changes in the reflectivity of the boundaries. We examine the critical slowing down of the system's dynamics in the neighborhood of the bifurcation point by analyzing its non-equilibrium potential. © 1997 Elsevier Science B.V.
Registro:
| Documento: | Artículo |
| Título: | Boundary effects on the dynamics of monostable reaction-diffusion systems |
| Autor: | Von Haeften, B.; Izús, G.; Deza, R.; Borzi, C. |
| Filiación: | Departamento de Física, Fac. de Ciencias Exactas y Naturales, Univ. Nacional de Mar del Plata, Dean Funes 3350 (7600) Mar del Plata, Argentina MONDITEC S.A., Olazabal 1927, 2do. G, (1428) Buenos Aires, Argentina |
| Palabras clave: | Albedo BCs; Monostable reaction-diffusion; Non-equilibrium potential |
| Año: | 1997 |
| Volumen: | 236 |
| Número: | 5-6 |
| Página de inicio: | 403 |
| Página de fin: | 408 |
| DOI: | http://dx.doi.org/10.1016/S0375-9601(97)00761-5 |
| Título revista: | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Título revista abreviado: | Phys Lett Sect A Gen At Solid State Phys |
| ISSN: | 03759601 |
| CODEN: | PYLAA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v236_n5-6_p403_VonHaeften |
Referencias:
- Nicolis, G., Prigogine, I., (1976) Self-organization in Nonequilibrium Systems, , Wiley, New York
- Haken, H., (1978) Synergetics: An Introduction, 2nd. Ed., , Springer, Berlin
- Vidal, C., Pacault, A., (1984) Non-equilibrium Dynamics in Chemical Systems, , Springer, Berlin
- Cross, M.C., Hohenberg, P.C., (1993) Rev. Mod. Phys., 65, p. 851
- Mikhailov, A.S., (1990) Foundations of Synergetics I, , Springer, Berlin
- Nicolis, G., Erneux, T., Herschkowitz-Kaufman, M., (1978) Advances in Chemical Physics, 38. , eds. I. Prigogine, S. Rice, Wiley, New York
- Fife, P.C., (1979) Mathematical Aspects of Reacting and Diffusing Systems, , Springer, Berlin
- Fife, P.C., (1984) Nonequilibrium Cooperative Phenomena in Physics and Related Fields, , ed. M.G. Velarde Plenum, New York
- (1985) Mathematical Biology, , Springer, Berlin
- Prigogine, I., Lefever, R., (1968) J. Chem. Phys., 48, p. 1695
- Schlögl, F., (1972) Z. Phys., 253, p. 147
- Albano, A., (1984) Am. J. Phys., 52
- Field, R.J., Burger, M., (1985) Oscillations and Travelling Waves in Chemical Systems, , Wiley, New York
- Ouyang, Q., Swinney, H., (1991) Nature (London), 352
- Nicolis, G., (1995) Introduction to Nonlinear Science, , Cambridge University Press, Cambridge
- Castets, V., Dulos, E., Boissonade, J., De Kepper, P., (1990) Phys. Rev. Lett., 64, p. 2953
- Bedeaux, D., Mazur, P., Pasmanter, R.A., (1977) Physica A, 86, p. 355
- Bedeaux, D., Mazur, P., (1981) Physica A, 105, p. 1
- Borckmans, P., De Witt, A., Dewel, G., (1992) Physica A, 188
- De Witt, A., Borckmans, P., Dewel, G., (1993) Instabilities and Nonequilibrium Structures IV, , eds. E. Tirapegui, W. Zeller Kluwer, Dordrecht
- Schat, C.L., Wio, H.S., (1992) Physica A, 180, p. 295
- Hassan, S.A., Kuperman, M.N., Wio, H.S., Zanette, D.H., (1994) Physica A, 206, p. 380
- Hassan, S.A., Zanette, D.H., Wio, H.S., (1994) J. Phys. A, 27, p. 5129
- Wio, H., Izús, G., Ramírez, O., Deza, R., Borzi, C., (1993) J. Phys. A, 26, p. 4281
- Izús, G., Deza, R., Ramírez, O., Wio, H., Zanette, D., Borzi, C., (1995) Phys. Rev. E, 52, p. 129
- Zanette, D., Wio, H., Deza, R., (1996) Phys. Rev. E, 53, p. 353
- Izús, G., Wio, H., Reyes De Rueda, J., Ramírez, O., Deza, R., (1996) Int. J. Mod. Phys. B, 10, p. 1273
- Izús, G., Ramírez, O., Deza, R., Wio, H., (1996) J. Chem. Phys, 105, p. 10424
- Izús, G., Deza, R., Wio, H., Borzi, C., (1997) Phys. Rev. E, 55, p. 4005
- Izús, G., Deza, R., Borzi, C., Wio, H., (1997) Physica A, 237, p. 135
- Keizer, J., (1987) Statistical Thermodynamics of Nonequilibrium Processes, , Springer, Berlin
- Doering, C.R., Ben-Avraham, D., (1989) Phys. Rev. Lett., 62, p. 2563
- Fisher, R.A., (1936) Ann. Eugen., 7, p. 355
- Graham, R., Tel, R., (1984) Phys. Rev. Lett., 52, p. 9
- Graham, R., Tel, R., (1984) J. Stat. Phys., 35, p. 729
- Graham, R., Tel, R., (1986) Phys. Rev. A, 33, p. 1322
- Langer, J.S., (1969) Ann. Phys., 54, p. 258
Citas:
---------- APA ----------
Von Haeften, B., Izús, G., Deza, R. & Borzi, C. (1997) . Boundary effects on the dynamics of monostable reaction-diffusion systems. Physics Letters, Section A: General, Atomic and Solid State Physics, 236(5-6), 403-408.http://dx.doi.org/10.1016/S0375-9601(97)00761-5
---------- CHICAGO ----------
Von Haeften, B., Izús, G., Deza, R., Borzi, C. "Boundary effects on the dynamics of monostable reaction-diffusion systems" . Physics Letters, Section A: General, Atomic and Solid State Physics 236, no. 5-6 (1997) : 403-408.http://dx.doi.org/10.1016/S0375-9601(97)00761-5
---------- MLA ----------
Von Haeften, B., Izús, G., Deza, R., Borzi, C. "Boundary effects on the dynamics of monostable reaction-diffusion systems" . Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 236, no. 5-6, 1997, pp. 403-408.http://dx.doi.org/10.1016/S0375-9601(97)00761-5
---------- VANCOUVER ----------
Von Haeften, B., Izús, G., Deza, R., Borzi, C. Boundary effects on the dynamics of monostable reaction-diffusion systems. Phys Lett Sect A Gen At Solid State Phys. 1997;236(5-6):403-408.http://dx.doi.org/10.1016/S0375-9601(97)00761-5
