Analytical derivation of spectral rigidity for thermodynamical traffic gas

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Analytical derivation of spectral rigidity for thermodynamical traffic gas
Original language description
This paper deals with one-dimensional short-range thermodynamic partical gas situated in thermal bath. Examined is the exact form of number variance Delta(L). The main aim represents analytical derivation of the expression of the mentioned function. To achieve this goal following equation will be used Delta(L) = L-2 int_0^L (L-s) (1-R(s)) ds. As can be seen the form of the two-point correlation function R(s) is needed. It relates closely to the n-th nearest-neighbor spacing distribution P(n,r). The special case of this function represents nearest-neighbor spacing distribution P(r), the form of which has been already calculated. Also the supposed general form of the desired function is known. The number variance could be approximated by a line Delta(L)= chi L + gamma. Now, the task is to find the expression of two coefficients chi and gamma. After gaining the form of number variance, it will be compared with outputs of numeric model.
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
8
Pages from-to
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Publisher name
ČVUT
Place of publication
Praha
Event location
Děčín
Event date
Jun 27, 2010
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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