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