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Annihilation Kinetics of Particle-Antiparticle Systems with Long-Range Interaction

  • H. Toyoki
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 52)

Abstract

The annihilation process of particles and antiparticles moving irreversibly is studied as a model for the kinetics of point-type topological defects. It describes the growth process of quenched systems with O(N) symmetry in D=N dimensions. For D=2, the interaction energy is widely known to depend logarithmically on the separations of the pair. Although high dimensional cases are less clear, the interaction energies associated with a single defect and with a pair of defects with equal but opposite charges have been calculated, which suggests that the energy increases linearly with the separation of the pair in any dimensions of D ≥ 3 [1,2]. In the present report we consider a particle-antiparticle (PAP) system generally with power-type pairwise interaction, as a model of such systems.

References

  1. 1.
    S. Ostlund, Phys. Rev. B24, 485 (1981).MathSciNetADSGoogle Scholar
  2. 2.
    H. Toyoki, submitted (1989).Google Scholar
  3. 3.
    H. Toyoki, in Dynamics of Ordering Processes in Condensed Matter edited by S. Komura and H. Furukawa (Plenum, 1988).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • H. Toyoki
    • 1
  1. 1.Department of Physics, Faculty of Education and Liberal ArtsYamanashi UniversityKofu 400Japan

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