Kybernetika 46 no. 6, 1108-1121, 2010

Analytical derivation of time spectral rigidity for thermodynamic traffic gas

Milan Krbálek


We introduce an one-dimensional thermodynamical particle model which is effi\-cient 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.


thermodynamic traffic gas, clearance distribution, spectral rigidity


82B21, 70F45, 37L99