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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

—

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review E

ISSN

2470-0045

e-ISSN

2470-0053

Svazek periodika

110

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

10

Strana od-do

64111

Kód UT WoS článku

001380244100002

EID výsledku v databázi Scopus

2-s2.0-85211442941