Observing symmetry-broken optimal paths of the stationary Kardar-Parisi-Zhang interface via a large-deviation sampling of directed polymers in random media

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F21%3A00552083" target="_blank" >RIV/68378271:_____/21:00552083 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1103/PhysRevE.104.054125" target="_blank" >https://doi.org/10.1103/PhysRevE.104.054125</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevE.104.054125" target="_blank" >10.1103/PhysRevE.104.054125</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Observing symmetry-broken optimal paths of the stationary Kardar-Parisi-Zhang interface via a large-deviation sampling of directed polymers in random media

Popis výsledku v původním jazyce

Consider the short-time probability distribution P(H, t) of the one-point interface height difference h(x = 0, r = t) - h(x = 0, r = 0) = H of the stationary interface h(x, r ) described by the Kardar-Parisi-Zhang (KPZ) equation. It was previously shown that the optimal path, the most probable history of the interface h(x, r ) which dominates the upper tail of P(H, t), is described by any of two ramplike structures of h(x, r ) traveling either to the left, or to the right. These two solutions emerge, at a critical value of H, via a spontaneous breaking of the mirror symmetry x <-> -x of the optimal path, and this symmetry breaking is responsible for a second-order dynamical phase transition in the system.

Název v anglickém jazyce

Observing symmetry-broken optimal paths of the stationary Kardar-Parisi-Zhang interface via a large-deviation sampling of directed polymers in random media

Popis výsledku anglicky

Consider the short-time probability distribution P(H, t) of the one-point interface height difference h(x = 0, r = t) - h(x = 0, r = 0) = H of the stationary interface h(x, r ) described by the Kardar-Parisi-Zhang (KPZ) equation. It was previously shown that the optimal path, the most probable history of the interface h(x, r ) which dominates the upper tail of P(H, t), is described by any of two ramplike structures of h(x, r ) traveling either to the left, or to the right. These two solutions emerge, at a critical value of H, via a spontaneous breaking of the mirror symmetry x <-> -x of the optimal path, and this symmetry breaking is responsible for a second-order dynamical phase transition in the system.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10305 - Fluids and plasma physics (including surface physics)

Projekt

<a href="/cs/project/EF15_003%2F0000449" target="_blank" >EF15_003/0000449: High Field Initiative (Výzkum velmi intenzivních polí)</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

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

104

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

10

Strana od-do

054125

Kód UT WoS článku

000730177600012

EID výsledku v databázi Scopus

2-s2.0-85120377657