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On Lushnikov's model of gelation

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Abstract

We characterize gelation for models of polymers built up as infinite-volume limits of finite systems. We establish rigorously the occurrence of gelation in Lushnikov's model with reaction rateR jk=jk. We obtain bounds on the size of the largest polymer in the system at timet.

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Authors and Affiliations

  1. School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland

    E. Buffet

  2. School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin 4, Ireland

    E. Buffet & J. V. Pulé

  3. Department of Mathematical Physics, University College, Belfield, Dublin 4, Ireland

    J. V. Pulé

Authors
  1. E. Buffet
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  2. J. V. Pulé
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Buffet, E., Pulé, J.V. On Lushnikov's model of gelation. J Stat Phys 58, 1041–1058 (1990). https://doi.org/10.1007/BF01026562

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  • DOI: https://doi.org/10.1007/BF01026562

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