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Front formation in a ballistic annihilation model

Author

Listed:
  • Piasecki, Jarosław
  • Rey, Pierre-Antoine
  • Droz, Michel

Abstract

We study a simple one-dimensional model of ballistically-controlled annihilation in which the two annihilating species are initially spatially separated. The time dependent properties of the annihilation front are exactly derived. It is shown that the front wanders in a brownian fashion around its average value.

Suggested Citation

  • Piasecki, Jarosław & Rey, Pierre-Antoine & Droz, Michel, 1996. "Front formation in a ballistic annihilation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(3), pages 515-529.
    • Handle: RePEc:eee:phsmap:v:229:y:1996:i:3:p:515-529
    DOI: 10.1016/0378-4371(96)00036-2
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    References listed on IDEAS

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    1. Frisch, Michael H., 1985. "The Unheralded Triumph: City Government in America, 1870–1900. By Jon C. Teaford. (Baltimore: Johns Hopkins University Press, 1984. xi + 365 pp. Cloth, $28.50; paper, $14.95.)," Business History Review, Cambridge University Press, vol. 59(3), pages 499-501, October.
    2. Piasecki, Jaroslaw & Bocquet, Lydéric & Hansen, Jean-Pierre, 1995. "Multiple time scale derivation of the Fokker-Planck equation for two Brownian spheres suspended in a hard sphere fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 218(1), pages 125-144.
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