Velocity fluctuations of stochastic reaction fronts propagating into an unstable state: strongly pushed fronts
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F20%3A00536407" target="_blank" >RIV/68378271:_____/20:00536407 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevE.102.022137" target="_blank" >https://doi.org/10.1103/PhysRevE.102.022137</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.102.022137" target="_blank" >10.1103/PhysRevE.102.022137</a>
Alternative languages
Result language
angličtina
Original language name
Velocity fluctuations of stochastic reaction fronts propagating into an unstable state: strongly pushed fronts
Original language description
The empirical velocity of a reaction-diffusion front, propagating into an unstable state, fluctuates because of the shot noises of the reactions and diffusion. Under certain conditions these fluctuations can be described as a diffusion process in the reference frame moving with the average velocity of the front. Here we address pushed fronts, where the front velocity in the deterministic limit is affected by higher-order reactions and is therefore larger than the linear spread velocity. For a subclass of these fronts-strongly pushed fronts-the effective diffusion constant D-f similar to 1/N of the front can be calculated, in the leading order, via a perturbation theory in 1/N << 1, where N >> 1 is the typical number of particles in the transition region. This perturbation theory, however, overestimates the contribution of a few fast particles in the leading edge of the front.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
<a href="/en/project/EF15_003%2F0000449" target="_blank" >EF15_003/0000449: High Field Initiative</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review E
ISSN
2470-0045
e-ISSN
—
Volume of the periodical
102
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
1-9
UT code for WoS article
000564799800001
EID of the result in the Scopus database
2-s2.0-85091193075