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Nonlinear Resistor Fractal Networks

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Book cover Scaling Phenomena in Disordered Systems

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Abstract

Consider a fractal network of nonlinear resistors, each of which having the characteristic voltage-current relation1

EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOvaiabg2 % da9iaadkhadaabdaqaaiaadMeaaiaawEa7caGLiWoadaahaaWcbeqa % aiabeg7aHbaaieGakiaa-bcacaWFZbGaa8xAaiaa-DgacaWFUbGaa8 % hiaiaa-LeacaWFUaaaaa!450D!]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$V = r{\left| I \right|^\alpha } sign I.$$
(1)

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References

  1. S.W. Kenkel and J.P. Straley, Phys. Rev. Lett. 49: 767 (1982);

    Article  MathSciNet  Google Scholar 

  2. J.P. Straley and S.W. Menkel, Phys. Rev. B29: 6299 (1984).

    Article  Google Scholar 

  3. I. Langmuir, Phys. Rev. 2: 450 (1913).

    Article  Google Scholar 

  4. Z. Alexandrowitz, Phys. Lett. 80A: 284 (1980);

    Article  MathSciNet  Google Scholar 

  5. S. Havlin and R. Nossal, J. Phys. A17: L427 (1984).

    MathSciNet  Google Scholar 

  6. R. Pike and H.E. Stanley, J. Phys. A14: L169 (1981).

    Google Scholar 

  7. A. Coniglio, Phys. Rev. Lett. 46: 250 (1981);

    Article  Google Scholar 

  8. A. Coniglio, J. Phys. A15: 3829 (1982).

    MathSciNet  Google Scholar 

  9. B.B. Mandelbrot and J. Given, Phys. Rev. Lett. 52: 1853 (1984).

    Article  Google Scholar 

  10. Y. Gefen, A. Aharony, B.B. Mandelbrot and S. Kirkpatrick, Phys. Rev. Lett. 47: 1771 (1981).

    Article  MathSciNet  Google Scholar 

  11. R. Blumenfeld and A. Aharony, J. Phys. A (in press).

    Google Scholar 

  12. R. Rammal, C. Tannous and A.M.S. Tremplay, preprint (1984).

    Google Scholar 

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Author information

Authors and Affiliations

  1. School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv, 69978, Israel

    Rafael Blumenfeld & Amnon Aharony

Authors
  1. Rafael Blumenfeld
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  2. Amnon Aharony
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Editor information

Editors and Affiliations

  1. Laue-Langevin Institute, 38042, Grenoble, France

    Roger Pynn

  2. Institute for Energy Technology, 2007, Kjeller, Norway

    Arne Skjeltorp

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© 1991 Springer Science+Business Media New York

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Blumenfeld, R., Aharony, A. (1991). Nonlinear Resistor Fractal Networks. In: Pynn, R., Skjeltorp, A. (eds) Scaling Phenomena in Disordered Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1402-9_33

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  • DOI: https://doi.org/10.1007/978-1-4757-1402-9_33

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1404-3

  • Online ISBN: 978-1-4757-1402-9

  • eBook Packages: Springer Book Archive

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