Geodesic
Analytical derivation of time spectral rigidity for thermodynamic traffic gas
Kybernetika, Tome 46 (2010) no. 6, pp. 1108-1121

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We introduce an one-dimensional thermodynamical particle model which is efficient in predictions about a microscopical structure of animal/human groups. For such a model we present analytical calculations leading to formulae for time clearance distribution as well as for time spectral rigidity. Furthermore, the results obtained are reformulated in terms of vehicular traffic theory and consecutively compared to experimental traffic data.
Classification : 37L99, 70F45, 82B21
Keywords: thermodynamic traffic gas; clearance distribution; spectral rigidity 
@article{KYB_2010__46_6_a14,
     author = {Krb\'alek, Milan},
     title = {Analytical derivation of time spectral rigidity for thermodynamic traffic gas},
     journal = {Kybernetika},
     pages = {1108--1121},
     publisher = {mathdoc},
     volume = {46},
     number = {6},
     year = {2010},
     mrnumber = {2797431},
     zbl = {1208.82015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_6_a14/}
}
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Krbálek, Milan. Analytical derivation of time spectral rigidity for thermodynamic traffic gas. Kybernetika, Tome 46 (2010) no. 6, pp. 1108-1121. http://geodesic.mathdoc.fr/item/KYB_2010__46_6_a14/