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On the stationary distribution of a stochastic chemical process without detailed balance

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An exact expression of the stationary distribution is found for a particular chemical model without detailed balance. An analytical approximation of this solution is obtained for small values of the concentration. It is shown that the WKB continuous approximation of the distribution is valid for all values of the concentration.

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Dambrine, S., Moreau, M. On the stationary distribution of a stochastic chemical process without detailed balance. J Stat Phys 26, 137–148 (1981). https://doi.org/10.1007/BF01106790

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Key words

  • Stochastic chemical processes
  • master equation
  • exact stationary solution
  • WKB approximation