Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Physics A: Mathematical and Theoretical
ISSN
1751-8113
e-ISSN
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Volume of the periodical
44
Issue of the periodical within the volume
17
Country of publishing house
GB - UNITED KINGDOM
Number of pages
22
Pages from-to
175203-175224
UT code for WoS article
000289145700009
EID of the result in the Scopus database
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