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Random walk model of impact phenomena

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  • West, Bruce J.
  • Shlesinger, Michael

Abstract

A model of the permanent distortion of an elastic material due to high velocity projectile impact is described using a random walk model, with unusual temporal statistics, of the transport of dislocations. The biased motion of dislocations in a stress field and also in a random environment is considered. A temperature dependence for certain scaling exponents is derived. The experimentally observed scaling of the total integrated momentum as well as the scaling of the penetration and strength of the shock wave with time are obtained with this model.

Suggested Citation

  • West, Bruce J. & Shlesinger, Michael, 1984. "Random walk model of impact phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(3), pages 490-508.
    • Handle: RePEc:eee:phsmap:v:127:y:1984:i:3:p:490-508
    DOI: 10.1016/0378-4371(84)90038-4
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    References listed on IDEAS

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    1. Robert Summers, 1959. "A Capital-Intensive Approach to the Small Sample Properties of Various Simultaneous Equation Estimators," Cowles Foundation Discussion Papers 64, Cowles Foundation for Research in Economics, Yale University.
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    Cited by:

    1. Kanno, Ryutaro, 1998. "Representation of random walk in fractal space-time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 165-175.
    2. Helbing, Dirk, 1992. "Interrelations between stochastic equations for systems with pair interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 181(1), pages 29-52.
    3. Hughes, Barry D., 1986. "On returns to the starting site in lattice random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(2), pages 443-457.

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