Group Theory for the Domino Effect

  • W. J. Stronge
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)


The domino effect is a solitary wave of reaction in a periodic, dissipative, two state system. A wave of toppling dominoes has a natural speed of propagation where the rates of reaction and dissipation are equal. Due to nonlinear dissipation within the toppling group, the speed of propagation for the reaction asymptotically approaches the natural speed.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    W J STRONGE, “The domino effect: a wave of destabilizing collisions in a periodic array’, Proc. Roy. Soc, London. A409, 199–208, 1987Google Scholar
  2. 2.
    W J STRONGE and D SHU, ‘The domino effect: successive destabilization by cooperative neighbours’, Proc. Roy. Soc. London, A418, 155–163, 1988MathSciNetGoogle Scholar
  3. 3.
    A C SCOTT, ‘The electrophysics of a nerve fiber’, Rev. Mod. Phys., 47. 487–533, 1975ADSCrossRefGoogle Scholar
  4. 4.
    H G OTHMER, ‘Nonlinear wave propagation in reacting systems’, J. Math. Biol. 2, 133–163, 1975MathSciNetMATHCrossRefGoogle Scholar
  5. 5.
    G NIOOLIS and I PRIGOGINE, Self-organization in Nonequilibrium Systems. New York: Wiley, 1977Google Scholar
  6. 6.
    E K BIMPONG-BOTA, A NITZAN, P ORTOLEVA and J ROSS, ‘Cooperative instability phenomena in arrays of catalytic sites’, J. Chem. Phys., 66, 3650–3658, 1977ADSCrossRefGoogle Scholar
  7. 7.
    J McCONNELL, Nuclear Magnetic Relaxation in Liquids. CUP, 1987Google Scholar
  8. 8.
    K I SHCHEKIN and Y K TROSHIN, Gasdvnamics of Combustion. Baltimore: Mono Book Co., 1965Google Scholar
  9. 9.
    R M MAY, ‘When two and two do not make four: nonlinear phenomena in ecology’, Proc. Roy. Soc, Lond., B228. 241–266, 1986Google Scholar
  10. 10.
    J L GROSS and W McGUIRE, ‘Progressive collapse resistant design’, ASCE J. Struct. Eng., 109, 1–15, 1983CrossRefGoogle Scholar
  11. 11.
    K M BAJORA, ‘Three dimensional progressive collapse of warehouse racking’, PhD Dissertation, Cambridge, 1986Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • W. J. Stronge
    • 1
  1. 1.University Engineering DepartmentCambridgeUK

Personalised recommendations