Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-02-04
Phys. Rev. E 79, 041115 (2009)
Physics
Condensed Matter
Statistical Mechanics
New version, 6 figures, 6 pages
Scientific paper
10.1103/PhysRevE.79.041115
We show that the thermodynamic entropy density is proportional to the largest Lyapunov ex- ponent (LLE) of a discrete hydrodynamical system, a deterministic two-dimensional lattice gas automaton. The definition of the LLE for cellular automata is based on the concept of Boolean derivatives and is formally equivalent to that of continuous dynamical systems. This relation is jus- tified using a Markovian model. In an irreversible process with an initial density difference between both halves of the system, we find that Boltzmann's H function is linearly related to the expansion factor of the LLE, although the latter is more sensitive to the presence of traveling waves.
Bagnoli Franco
Rechtman Raul
No associations
LandOfFree
Thermodynamic Entropy and Chaos in a Discrete Hydrodynamical System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Thermodynamic Entropy and Chaos in a Discrete Hydrodynamical System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamic Entropy and Chaos in a Discrete Hydrodynamical System will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-496589