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On the stochastic theory of polymerization reactions

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  • Moreau, M.
  • Vicente, L.

Abstract

We present a stochastic study of a polymerization reaction model. Using the WKB approximation and the method of factorial cumulants it is shown that the relaxation time of the second factorial cumulant is half the macroscopic relaxation time. Furthermore the system exhibits a globally non-Poissonian and locally Poissonian behavior in agreement with other results. The application of the model is illustrated for the particular case of dimer and trimer formation.

Suggested Citation

  • Moreau, M. & Vicente, L., 1982. "On the stochastic theory of polymerization reactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(1), pages 139-160.
    • Handle: RePEc:eee:phsmap:v:111:y:1982:i:1:p:139-160
    DOI: 10.1016/0378-4371(82)90086-3
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    References listed on IDEAS

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    1. Rodríguez, R.F. & Van Kampen, N.G., 1976. "Systematic treatment of fluctuations in a nonlinear oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 347-362.
    2. Van den Broeck, C. & Houard, J. & Malek Mansour, M., 1980. "Chapman-Enskog development of the multivariate master equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(1), pages 167-184.
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    1. Moreau, M. & Vicente, L., 1982. "Influence of an external field on the stochastic theory of polymerization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 543-559.

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