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

Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
The Totally Asymmetric Simple Exclusion Process in Two-Dimensional Finite Lattice - Comparison of Density Profiles
Original language description
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.
Czech name
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Czech description
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Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
SPMS 2010 Stochastic and Physical Monitoring Systems
ISBN
978-80-01-04641-8
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
91-100
Publisher name
České vysoké učení technické v Praze
Place of publication
Praha
Event location
Děčín
Event date
Jun 27, 2010
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000396627800010

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