Abstract
The fractal properties of a candle flame and fractal discharges are considered. The fractal concept is applied to ball lightning.
Similar content being viewed by others
References
Alexandrov, V. Ya., Golubjev, E. M., and Podmoshenskij, I. V. (1982a).Soviet Physics Technical Physics,2, 1221.
Alexandrov, V. Ya., Borodin, I. P., Kichenko, E. V., and Podmoshenskij, I. V. (1982b).Soviet Physics Technical Physics,2, 527.
Andrianov, A. M., and Sinitzyn, V. I. (1977).Soviet Physics Technical Physics,22, 1342.
Avramenko, R. F.,et al. (1990).Zhurnal Tekhnicheskoi Fiziki,60(12), 73.
Barry, J. D. (1968).Journal of Atmospheric and Terrestrial Physics,3, 313.
Bychkov, V. L. (1992). InProceedings 9th International Conference on Atmospheric Electricity, St. Petersburg, Russia, p. 842.
Corum, K. L., and Corum, J. F. (1989).Tesla Coil Builders Association News,8, 13.
Corum, K. L., and Corum, J. F. (1990).Uspekhi Fizicheskikh Nauk,160(4), 47.
De Gennes, P. G. (1977).Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, New York.
Dijkhuis, G. C. (1985).Nederlands Tijdschrift voor Natuurkunde,51B, 125.
Dijkhuis, G. C. (1988). InProceedings 9th International Wroclaw Symposium on Electromagnetic Compatibility, Wroclaw, Poland, p. 166.
Ershov, A. P., Kuperstokh, A. L., and Kolomijchuk, V. N. (1990).Pisma Zhurnal Tekhnicheskoi Fiziki,16(3), 43.
Family, F., and Landau, D. P. (1984).Kinetics of Aggregation and Gelation, North-Holland, Amsterdam.
Family, F., and Vicsek, T. (1991).Dynamics of Fractal Surfaces, World Scientific, Singapore.
Faraday, M. (1957).The Chemical History of a Candle, Crowell, New York.
Feder, J. (1988).Fractals, Plenum Press, New York.
Flory, P. (1971).Principles of Polymer Chemistry, Cornell University Press, Ithaca, New York.
Golka, R. K. (1988). InProceedings 9th International Wroclaw Symposium on Electromagnetic Compatibility, Wroclaw. Poland, p. 59.
Golka, R. K. (1991).NASA Conference Proceedings,II, 3106.
Golka, R. K. (1992). InProceedings 9th International Conference on Atmospheric Electricity, St. Petersburg, Russia, p. 854.
Golubnichij, P. I., Gromenko, V. M., and Krutov, Ju. M. (1991). InBall Lightning, B. M. Smirnov, ed., IVTAN, Moscow [in Russian].
Grigorjev, A. I., Grigorjeva, I. D., and Shirjaeva, S. O. (1989). InScience of Ball Lightning, Y. H. Ohtsuki, ed., World Scientific, Singapore, p. 176.
Herrmann, H. J. (1986).Physics Reports,136, 155.
Igolkin, S. I., and Savelyev, S. K. (1992). InProceedings 9th International Conference on Atmospheric Electricity, St. Petersburg, Russia, p. 830.
Jullien, R., and Botet, R. (1987).Aggregation and Fractal Aggregates, World Scientific, Singapore.
Jullien, R., Peliti, L., Rammal, R., and Bocara, N., eds. (1988).Universalities in Condensed Matter, Springer-Verlag, Berlin.
Kolb, M., Botet, R., and Jullien, R. (1983).Physical Review Letters,51, 1123.
Luisova, L. A., Smirnov, B. M., and Khahaev, A. D. (1989).Soviet Physics Doklady.,34, 1086.
Luisova, L. A., Smirnov, B. M., Khahaev, A. D., and Chugin, V. P. (1990).High Temperature (Russia),28, 674.
Landau, L. D., and Lifshitz, E. M. (1960).Electrodynamics of Continuous Media, Addison-Wesley, Reading, Massachusetts.
Lushnikov, A. A., Negin, A. E., and Pakhomov, A. V. (1990).Chemical Physics Letters,161, 138.
Mandelbrot, B. B. (1977).Fractals: Form, Chance and Dimension, Freeman, San Francisco.
Mandelbrot, B. B. (1982).The Fractal Geometry of Nature, Freeman, San Francisco.
Manjikin, E. A., and Shachparonov, I. M. (1991). InBall Lightning, B. M. Smirnov, ed., IVTAN, Moscow, p. 68 [in Russian].
Meakin, M. (1983).Physical Review Letters,51, 1119.
Meakin, P. (1986).Critical Reviews in Solid State and Materials Sciences,322, 789.
Ohtsuki, Y. H., and Ofuruton, H. (1989). InScience of Ball Lightning, Y. H. Ohtsuki, ed., World Scientific, Singapore, p. 31.
Nelson, J. (1989).Nature,339, 611.
Pietronero, L., ed. (1988).Fractals. Physical Origin and Properties, Plenum Press, New York.
Pietronero, L., and Tosatti, E. (1986).Fractals in Physics, North-Holland, Amsterdam.
Powell, J. R., and Finkelstein, D. (1970).Scientist,58, 262.
Silberg, P. A. (1965). InProblems of Atmospheric and Space Electricity, S. C. Corotini, ed., Elsevier, Amsterdam, p. 435.
Silberg, P. A. (1978).Journal of Applied Physics,49, 1110.
Smirnov, B. M. (1986).Soviet Physics Uspekhi,29, 133.
Smirnov, B. M. (1987a).Physics Reports,152, 177.
Smirnov, B. M. (1987b).Soviet Physics Uspekhi,30, 133.
Smirnov, B. M. (1988).The Problem of Ball Lightning, Nauka, Moscow [in Russian].
Smirnov, B. M. (1990a).Physics Reports,188, 3.
Smirnov, B. M. (1990b).Soviet Physics Uspekhi,33, 261.
Smirnov, B. M. (1991a).Physics of Fractal Clusters, Nauka, Moscow [in Russian].
Smirnov, B. M. (1991b).Soviet Physics Uspekhi,34, 711.
Smirnov, B. M. (1991c).Soviet Physics Uspekhi,34, 526.
Smirnov, B. M. (1992).Soviet Physics Uspekhi,35.
Smirnov, B. M. (1993).Physics Reports,35.
Smith, J. M. (1991).Fundamentals of Fractals for Engineers and Scientists, Wiley, New York.
Stakhanov, I. P. (1985).On the Physical Nature of Ball Lightning, Energoatomizdat, Moscow [in Russian].
Stanley, H. E., and Ostrowsky, N., eds. (1985).On Growth and Form, Martinus Nijhoff, The Hague.
Staufer, D., and Stanley, H. E. (1990).From Newton to Mandelbrot, Springer, Berlin.
Vicsek, T. (1989/1991).Fractal Growth Phenomena, World Scientific, Singapore.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Smirnov, B.M. Radiation of some fractal structures. Int J Theor Phys 32, 1453–1464 (1993). https://doi.org/10.1007/BF00675207
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00675207