Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00179445" target="_blank" >RIV/68407700:21340/11:00179445 - isvavai.cz</a>

Výsledek na webu

<a href="http://iopscience.iop.org/1751-8121/44/17/175203/" target="_blank" >http://iopscience.iop.org/1751-8121/44/17/175203/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8113/44/17/175203" target="_blank" >10.1088/1751-8113/44/17/175203</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries

Popis výsledku v původním jazyce

We consider the one-dimensional totally asymmetric simple exclusion process (TASEP model) with open boundary conditions and present the analytical computations leading to the exact formula for distance clearance distribution, i.e. probability density fora clear distance between subsequent particles of the model. The general relation is rapidly simplified for middle part of the one-dimensional lattice. Both the analytical formulas and their approximations are compared with the numerical representation of the TASEP model. Such a comparison is presented for particles occurring in the internal part as well as in the boundary part of the lattice. Furthermore, we introduce the pertinent estimation for so-called spectral rigidity of the model. The results obtained are sequentially discussed within the scope of vehicular traffic theory.

Název v anglickém jazyce

Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries

Popis výsledku anglicky

We consider the one-dimensional totally asymmetric simple exclusion process (TASEP model) with open boundary conditions and present the analytical computations leading to the exact formula for distance clearance distribution, i.e. probability density fora clear distance between subsequent particles of the model. The general relation is rapidly simplified for middle part of the one-dimensional lattice. Both the analytical formulas and their approximations are compared with the numerical representation of the TASEP model. Such a comparison is presented for particles occurring in the internal part as well as in the boundary part of the lattice. Furthermore, we introduce the pertinent estimation for so-called spectral rigidity of the model. The results obtained are sequentially discussed within the scope of vehicular traffic theory.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

Journal of Physics A: Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

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Svazek periodika

44

Číslo periodika v rámci svazku

17

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

22

Strana od-do

175203-175224

Kód UT WoS článku

000289145700009

EID výsledku v databázi Scopus

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