%0 Journal Article %1 hallatschek2009strongnoise %A Hallatschek, Oskar %A Korolev, K. S. %D 2009 %I American Physical Society %J Phys. Rev. Lett. %K Fisher-KPP SPDE travelling_wave coalescent_theory spatial_coalescent %N 10 %P 108103 %R 10.1103/PhysRevLett.103.108103 %T Fisher Waves in the Strong Noise Limit %U http://prl.aps.org/abstract/PRL/v103/i10/e108103 %V 103 %X We investigate the effects of a strong number fluctuations on traveling waves in the Fisher-Kolmogorov reaction-diffusion system. Our findings are in stark contrast to the commonly used deterministic and weak-noise approximations. We compute the wave velocity in one and two spatial dimensions, for which we find a linear and a square-root dependence of the speed on the particle density. Instead of smooth sigmoidal wave profiles, we observe fronts composed of a few rugged kinks that diffuse, annihilate, and rarely branch; this dynamics leads to power-law tails in the distribution of the front sizes.

@article{hallatschek2009strongnoise, abstract = {We investigate the effects of a strong number fluctuations on traveling waves in the Fisher-Kolmogorov reaction-diffusion system. Our findings are in stark contrast to the commonly used deterministic and weak-noise approximations. We compute the wave velocity in one and two spatial dimensions, for which we find a linear and a square-root dependence of the speed on the particle density. Instead of smooth sigmoidal wave profiles, we observe fronts composed of a few rugged kinks that diffuse, annihilate, and rarely branch; this dynamics leads to power-law tails in the distribution of the front sizes.}, added-at = {2010-07-23T02:39:46.000+0200}, author = {Hallatschek, Oskar and Korolev, K. S.}, biburl = {https://www.bibsonomy.org/bibtex/2c9c99f1420ca0de30cb53ee0b977f7d5/peter.ralph}, description = {Phys. Rev. Lett. 103, 108103 (2009): Fisher Waves in the Strong Noise Limit}, doi = {10.1103/PhysRevLett.103.108103}, interhash = {7b9d7ad75c9ba3887a3dc1e5785c8e69}, intrahash = {c9c99f1420ca0de30cb53ee0b977f7d5}, journal = {Phys. Rev. Lett.}, keywords = {Fisher-KPP SPDE travelling_wave coalescent_theory spatial_coalescent}, month = sep, number = 10, numpages = {4}, pages = 108103, publisher = {American Physical Society}, timestamp = {2014-09-14T17:43:51.000+0200}, title = {Fisher Waves in the Strong Noise Limit}, url = {http://prl.aps.org/abstract/PRL/v103/i10/e108103}, volume = 103, year = 2009 }