Velocity fluctuations of noisy reaction fronts propagating into a metastable state: testing theory in stochastic simulations

Evgeniy Khain; Baruch Meerson

doi:10.1088/1751-8113/46/12/125002

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arXiv · 1204.6442

Velocity fluctuations of noisy reaction fronts propagating into a metastable state: testing theory in stochastic simulations

Evgeniy Khain·Baruch Meerson

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Abstract

The position of a reaction front, propagating into a metastable state, fluctuates because of the shot noise of reactions and diffusion. A recent theory [B. Meerson, P.V. Sasorov, and Y. Kaplan, Phys. Rev. E 84, 011147 (2011)] gave a closed analytic expression for the front diffusion coefficient in the weak noise limit. Here we test this theory in stochastic simulations involving reacting and diffusing particles on a one-dimensional lattice. We also investigate a small noise-induced systematic shift of the front velocity compared to the prediction from the spatially continuous deterministic reaction-diffusion equation.

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BibTeX RIS

Evgeniy Khain, Baruch Meerson. 2012-04-28. Velocity fluctuations of noisy reaction fronts propagating into a metastable state: testing theory in stochastic simulations. https://doi.org/10.1088/1751-8113/46/12/125002

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