Narrow Results

It is shown that a process running in a dissipative system described by continuum equations may be organized so that the system under compression and heating will pass through a sequence of states the same as those occur in this system under rarefaction and cooling, but in the reverse time order. In the model reconstructed for such a process, the boundary regimes on the piston have a special form where the adiabatic exponent γ in the “forward” and “backward” motion of the medium are connected by a certain relation.

Rescaled evolution sets of linear cellular automata on a lattice ℤ ⊕ G, where G is a finite Abelian group, with states in the finite field are defined and investigated.