메뉴 건너뛰기




Volumn 453, Issue 1966, 1997, Pages 2325-2351

Travelling waves in an ionic autocatalytic chemical system with an imposed electric field

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000353593     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1997.0124     Document Type: Article
Times cited : (18)

References (27)
  • 1
    • 0001454338 scopus 로고
    • The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. II. An initial-value problem with an immobilized or nearly immobilized autocatalyst
    • Billingham, J. & Needham, D. J. 1991 The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. II. An initial-value problem with an immobilized or nearly immobilized autocatalyst. Phil. Trans. R. Soc. Lond. A 336, 497-539.
    • (1991) Phil. Trans. R. Soc. Lond. A , vol.336 , pp. 497-539
    • Billingham, J.1    Needham, D.J.2
  • 2
    • 0000587997 scopus 로고
    • The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. III. Large time development in quadratic autocatalysis
    • Billingham, J. & Needham, D. J. 1992 The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. III. Large time development in quadratic autocatalysis. Quart. Appl. Math. L, 343-372.
    • (1992) Quart. Appl. Math. , vol.50 , pp. 343-372
    • Billingham, J.1    Needham, D.J.2
  • 3
    • 84980189802 scopus 로고
    • Maximal displacement of branching Brownian motion
    • Bramson, M. D. 1978 Maximal displacement of branching Brownian motion. Comm. Pure Appl. Math. 31, 531-581.
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 531-581
    • Bramson, M.D.1
  • 4
    • 0000821703 scopus 로고
    • Frontal progress of the oxidation reaction of arenite with iodate
    • Epik, P. A. & Shub, N. S. 1955 Frontal progress of the oxidation reaction of arenite with iodate. Dokl. Akad Nauk. SSSR 100, 503.
    • (1955) Dokl. Akad Nauk. SSSR , vol.100 , pp. 503
    • Epik, P.A.1    Shub, N.S.2
  • 6
    • 0039271893 scopus 로고
    • The development of travelling waves in a simple isothermal chemical system. III. Cubic and mixed autocatalysis
    • Gray, P., Merkin, J. H., Needham, D. J. & Scott, S. K. 1990 The development of travelling waves in a simple isothermal chemical system. III. Cubic and mixed autocatalysis. Proc. R. Soc. Lond. A 430, 509-524.
    • (1990) Proc. R. Soc. Lond. A , vol.430 , pp. 509-524
    • Gray, P.1    Merkin, J.H.2    Needham, D.J.3    Scott, S.K.4
  • 7
    • 0020152923 scopus 로고
    • Detailed studies of propagating fronts with cubic autocatalysis: The effects of reversibility
    • Hanna, A. Saul, A. & Showalter, K. 1982 Detailed studies of propagating fronts with cubic autocatalysis: the effects of reversibility. J. Am. Chem. Soc. 104, 3838-3844.
    • (1982) J. Am. Chem. Soc. , vol.104 , pp. 3838-3844
    • Hanna, A.1    Saul, A.2    Showalter, K.3
  • 8
    • 0003783422 scopus 로고
    • Holden, A. V., Markus, M. & Othmer, M. G. (eds) New York: Plenum
    • Holden, A. V., Markus, M. & Othmer, M. G. (eds) 1990 Nonlinear wave processes in excitable media. New York: Plenum.
    • (1990) Nonlinear Wave Processes in Excitable Media
  • 9
    • 0004095143 scopus 로고
    • Kapral, R. & Showalter, K. (eds) Dordrecht: Kluwer
    • Kapral, R. & Showalter, K. (eds) 1995 Chemical waves and patterns. Dordrecht: Kluwer.
    • (1995) Chemical Waves and Patterns
  • 10
    • 0242323020 scopus 로고
    • Reduction waves in the BZ reaction: Circles, spirals and effects of electric field
    • Kastanek, P., Kosek, J., Snita, D. Schreiber, I. & Marek, M. 1995 Reduction waves in the BZ reaction: circles, spirals and effects of electric field. Physica D 84, 79-94.
    • (1995) Physica D , vol.84 , pp. 79-94
    • Kastanek, P.1    Kosek, J.2    Snita, D.3    Schreiber, I.4    Marek, M.5
  • 11
    • 84979111546 scopus 로고
    • Ueber concentrations-Verschiebungen durch electroyse im inneren von losungen losengensgemischen
    • Kohlrausch, F. 1897 Ueber concentrations-Verschiebungen durch electroyse im inneren von losungen losengensgemischen. Ann. Phys. 62, 209.
    • (1897) Ann. Phys. , vol.62 , pp. 209
    • Kohlrausch, F.1
  • 12
    • 0001437980 scopus 로고
    • Splitting of excitable pulse waves
    • Kosek, J., Sevcikova, H. & Marek, M. 1995 Splitting of excitable pulse waves. J. Phys. Chem. 99, 6889-6896.
    • (1995) J. Phys. Chem. , vol.99 , pp. 6889-6896
    • Kosek, J.1    Sevcikova, H.2    Marek, M.3
  • 13
    • 84980187449 scopus 로고
    • Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piskunov
    • McKean, H. P. 1975 Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piskunov. Comm. Pure Appl. Math. 28, 323-331.
    • (1975) Comm. Pure Appl. Math. , vol.28 , pp. 323-331
    • McKean, H.P.1
  • 14
    • 0000821846 scopus 로고
    • Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system
    • Merkin, J. H. & Needham, D. J. 1989 Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system. J. Engng Math. 23, 343-356.
    • (1989) J. Engng Math. , vol.23 , pp. 343-356
    • Merkin, J.H.1    Needham, D.J.2
  • 17
    • 0028212163 scopus 로고
    • Direct signalling from astrocytes to neurones in cultures of mammalian brain cells
    • Nedergaard, M. 1994 Direct signalling from astrocytes to neurones in cultures of mammalian brain cells. Science 263, 1768-1771.
    • (1994) Science , vol.263 , pp. 1768-1771
    • Nedergaard, M.1
  • 18
    • 0000927953 scopus 로고
    • The effects of geometrical spreading in two and three dimensions on the formation of of travelling wavefronts in a simple, isothermal, chemical system
    • Needham, D. J. & Merkin, J. H. 1992 The effects of geometrical spreading in two and three dimensions on the formation of of travelling wavefronts in a simple, isothermal, chemical system. Nonlinearity 5, 413-452.
    • (1992) Nonlinearity , vol.5 , pp. 413-452
    • Needham, D.J.1    Merkin, J.H.2
  • 19
    • 0022663552 scopus 로고
    • Theory of electrophoretic separation
    • Saville, D. A. & Palusinski, O. A. 1986 Theory of electrophoretic separation. AIChE Jl 32, 207-214.
    • (1986) AIChE Jl , vol.32 , pp. 207-214
    • Saville, D.A.1    Palusinski, O.A.2
  • 20
    • 4244132432 scopus 로고
    • Chemical wave fronts in an electric field
    • Sevcikova, H. & Marek, M. 1984a Chemical wave fronts in an electric field. Physica D 13, 379-386.
    • (1984) Physica D , vol.13 , pp. 379-386
    • Sevcikova, H.1    Marek, M.2
  • 21
    • 33845469153 scopus 로고
    • Concentration pulses and fronts in electric fields
    • Sevcikova, H. & Marek, M. 1984b Concentration pulses and fronts in electric fields. J. Phys. Chem. 88, 2181-2183.
    • (1984) J. Phys. Chem. , vol.88 , pp. 2181-2183
    • Sevcikova, H.1    Marek, M.2
  • 22
    • 0001652435 scopus 로고
    • The reversal and splitting of waves in an excitable medium caused by an electrical field
    • Sevcikova, H., Marek, M. & Muller, S. C. 1992 The reversal and splitting of waves in an excitable medium caused by an electrical field. Science 257, 951-954.
    • (1992) Science , vol.257 , pp. 951-954
    • Sevcikova, H.1    Marek, M.2    Muller, S.C.3
  • 23
    • 0000829490 scopus 로고    scopus 로고
    • Splitting of 2D waves of excitation in a direct current electric field
    • Sevcikova, H., Kosek, J. & Marek, M. 1996 Splitting of 2D waves of excitation in a direct current electric field. J. Phys. Chem. 100, 1666-1675.
    • (1996) J. Phys. Chem. , vol.100 , pp. 1666-1675
    • Sevcikova, H.1    Kosek, J.2    Marek, M.3
  • 25
    • 0000401257 scopus 로고
    • Transport and reaction in ionic chemical systems
    • Snita, D. & Marek, M. 1994 Transport and reaction in ionic chemical systems. Physica D 75, 521-540.
    • (1994) Physica D , vol.75 , pp. 521-540
    • Snita, D.1    Marek, M.2
  • 26
    • 5544227492 scopus 로고
    • Electric-field-induced drift and deformation of spiral waves in an excitable medium
    • Steinbock, O., Schutze, J. & Muller, S. C. 1992 Electric-field-induced drift and deformation of spiral waves in an excitable medium. Phys. Rev. Lett. 68, 248-251.
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 248-251
    • Steinbock, O.1    Schutze, J.2    Muller, S.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.