Negative large deviations of the front velocity of N-particle branching Brownian motion

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2FCZ______%3A_____%2F24%3AN0000088" target="_blank" >RIV/CZ______:_____/24:N0000088 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevE.110.064111" target="_blank" >https://doi.org/10.1103/PhysRevE.110.064111</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.110.064111" target="_blank" >10.1103/PhysRevE.110.064111</a>

Result language
angličtina
Original language name
Negative large deviations of the front velocity of N-particle branching Brownian motion
Original language description
We study negative large deviations of the long-time empirical front velocity of the center of mass of the one-sided N-BBM (N-particle branching Brownian motion) system in one dimension. Employing the macroscopic fluctuation theory, we study the probability that c is smaller than the limiting front velocity c_0, predicted by the deterministic theory, or even becomes negative. To this end we determine the optimal path of the system, conditioned on the specified c. We show that for c_0-c << c_0 the properly defined rate function s(c), coincides, up to a non-universal numerical factor, with the universal rate functions for front models belonging to the Fisher-Kolmogorov-Petrovsky-Piscounov universality class. For sufficiently large negative values of c, s(c) approaches a simple bound, obtained under the assumption that the branching is completely suppressed during the whole time. Remarkably, for all c < or = c_*, where c_*<0 is a critical value that we find numerically, the rate function s(c) is equal to the simple bound. At the critical point c=c_* the character of the optimal path changes, and the rate function exhibits a dynamical phase transition of second order.
Czech name
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Czech description
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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
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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