Discreteness-induced stochastic steady state in reaction diffusion systems: self-consistent analysis and stochastic simulations

@inproceedings{Togashi2005DiscretenessinducedSS,
  title={Discreteness-induced stochastic steady state in reaction diffusion systems: self-consistent analysis and stochastic simulations},
  author={Yuichi Togashi and Kunihiko Kaneko},
  year={2005}
}
  • Yuichi Togashi, Kunihiko Kaneko
  • Published 2005
  • Mathematics, Physics, Biology
  • Abstract A self-consistent equation to derive a discreteness-induced stochastic steady state is presented for reaction–diffusion systems. For this formalism, we use the so-called Kuramoto length, a typical distance over which a molecule diffuses in its lifetime, as was originally introduced to determine if local fluctuations influence globally the whole system. We show that this Kuramoto length is also relevant to determine whether the discreteness of molecules is significant or not. If the… CONTINUE READING

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