caa a22 4500 467892717 CHVBK 20180406152753.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s10955-005-9004-8 doi (NATIONALLICENCE)springer-10.1007/s10955-005-9004-8 Front Propagation Dynamics with Exponentially-Distributed Hopping [Elektronische Daten] [Elisheva Cohen, David Kessler] We study reaction-diffusion systems where diffusion is by jumps whose sizes are distributed exponentially. We first study the Fisher-like problem of propagation of a front into an unstable state, as typified by the A+B → 2A reaction. We find that the effect of fluctuations is especially pronounced at small hopping rates. Fluctuations are treated heuristically via a density cutoff in the reaction rate. We then consider the case of propagating up a reaction rate gradient. The effect of fluctuations here is pronounced, with the front velocity increasing without limit with increasing bulk particle density. The rate of increase is faster than in the case of a reaction-gradient with nearest-neighbor hopping. We derive analytic expressions for the front velocity dependence on bulk particle density. Computer simulations are performed to confirm the analytical results. Springer Science + Business Media, Inc., 2006 Front Propagation nationallicence Reaction-Diffusion nationallicence Cohen Elisheva Department of Physics, Bar-Ilan University, IL52900, Ramat-Gan, Israel aut Kessler David Department of Physics, Bar-Ilan University, IL52900, Ramat-Gan, Israel aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 122/5(2006-03-01), 925-948 0022-4715 122:5<925 2006 122 10955 https://doi.org/10.1007/s10955-005-9004-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-9004-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cohen Elisheva Department of Physics, Bar-Ilan University, IL52900, Ramat-Gan, Israel aut NATIONALLICENCE 700 1- Kessler David Department of Physics, Bar-Ilan University, IL52900, Ramat-Gan, Israel aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 122/5(2006-03-01), 925-948 0022-4715 122:5<925 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer