Abstract
We find a simple linear relation between the thermodynamic entropy and the largest Lyapunov exponent (LLE) of an discrete hydrodynamical system, a deterministic, two-dimensional lattice gas automaton (LGCA). This relation can be extended to irreversible processes considering the Boltzmann's H function and the expansion factor of the LLE. The definition of LLE for cellular automata is based on the concept of Boolean derivatives and is formally equivalent to that of continuous dynamical systems. © 2008 Springer-Verlag Berlin Heidelberg.
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CITATION STYLE
Bagnoli, F., & Rechtman, R. (2008). Entropy and chaos in a lattice gas cellular automata. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5191 LNCS, pp. 120–127). https://doi.org/10.1007/978-3-540-79992-4_16
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