The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F10%3A00175792" target="_blank" >RIV/68407700:21340/10:00175792 - isvavai.cz</a>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles

Popis výsledku v původním jazyce

A two-dimensional model based on the totally asymmetric exclusion process is introduced. It's dynamics is inspired by pedestrian movement. We come out of the one-dimensional TASEP with open boundaries defined on a finite lattice of N sites. This model is solvable by means of the MPA method, which gives exact formulas for the density profiles and the phase diagram containing three phases, maximal current, low- and high-density phase; for both time continuous dynamics and discrete parallel updates, We define similar dynamics on a rectangle lattice of M x N sites with open boundaries. The permutation-parallel update is introduced. Via computer simulations the average density in steady state has been studied, and similar behavior to the one dimensional model observed. We have identified the same three phases and the same shape of the transition line between the low- and the high-density phase.

Název v anglickém jazyce

The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles

Popis výsledku anglicky

A two-dimensional model based on the totally asymmetric exclusion process is introduced. It's dynamics is inspired by pedestrian movement. We come out of the one-dimensional TASEP with open boundaries defined on a finite lattice of N sites. This model is solvable by means of the MPA method, which gives exact formulas for the density profiles and the phase diagram containing three phases, maximal current, low- and high-density phase; for both time continuous dynamics and discrete parallel updates, We define similar dynamics on a rectangle lattice of M x N sites with open boundaries. The permutation-parallel update is introduced. Via computer simulations the average density in steady state has been studied, and similar behavior to the one dimensional model observed. We have identified the same three phases and the same shape of the transition line between the low- and the high-density phase.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2010

Kód důvěrnosti údajů

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

Název statě ve sborníku

SPMS 2010 Stochastic and Physical Monitoring Systems

ISBN

978-80-01-04641-8

ISSN

—

e-ISSN

—

Počet stran výsledku

10

Strana od-do

91-100

Název nakladatele

České vysoké učení technické v Praze

Místo vydání

Praha

Místo konání akce

Děčín

Datum konání akce

27. 6. 2010

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000396627800010