The mathematical modeling of transport properties in reacting gases on the basis of kinetic equations for the distribution functions is given in this paper. Thermal and chemical nonequilibrium conditions are considered. The influence of rotational and vibrational excitation and chemical...

The collective behavior of locally coupled-map lattices is investigated when the connections are defined on fractal geometries, such as generalized Sierpinski gaskets embedded in d-dimensional Euclidean spaces. The collective states are described through the mean fields of the networks. Periodic...

We discuss the relation between ensemble and time averages for quasistationary states of low-dimensional symplectic maps that present remarkable analogies with similar states detected in many-body long-range-interacting Hamiltonian systems.

The potential role of resummation techniques in the kinetic-theory approach to subgrid turbulence modeling is discussed.

We use the Chapman–Enskog method to derive the Smoluchowski equation from the Kramers equation in a high friction limit. We consider two main extensions of this problem: we take into account a uniform rotation of the background medium and we consider a generalized class of Kramers equations...

We present an automated algorithm for inferring analytical models of closed reactive biochemical mixtures, on the basis of standard approaches borrowed from thermodynamics and kinetic theory of gases. As input, the method requires a number of steady states (i.e. an equilibria cloud in...

It is shown that the closure of the model equation of Anderson and Witting by a moment method leads to transport coefficients of a relativistic gas which differ from those obtained by the usual Chapman and Enskog method. The transport coefficients obtained in the two closures coincide in the...

In this work, we offer a new approach to the concept of the information entropy for the description of the dynamic behaviour of complex systems. On the basis of the unification of the known information approach to the Shannon entropy, submitted in works of authors [Phys. Rev. E 62 (5) (2000) 6178;...

Hydrodynamics equations derived directly from Boltzmann’s equation and specialized to sheared planar flow are shown to yield approximate nonlinear laws of heat transport and of viscous flow. The law of viscous flow predicts non-Newtonian effects including shear thinning and the law of heat...