The work is devoted to cellular-automaton modeling based on a class of cellular automata with Margolus neighborhood. Modeling the gas sorption process by coal particle was carried out. To organize this kind evolutionary process, method supplemented Monte Carlo implement boundary conditions at solid – interface.

To oli showed that every cellular automaton of an arbitrary dimension d can be embedded into a reversible cellular automaton of dimension d+1. He asked \whether an arbitrary cellular automaton can be embedded in a reversible one having the same number of dimensions" and conjectured that this is not possible. We show that his conjecture is true. Even if one imposes only a weak, natural condition...

Probabilistic cellular automata (CA) provides a classic framework for studying non-equilibrium statistical physics on lattices. A notable example is the Domany-Kinzel CA, which has been used to investigate process of directed percolation and critical dynamics phase transition betweeen absorbing percolating phases. In this work, we construct non-unitary Quantum Cellular Automaton that generalise...