Abstract
The entropy production σ is calculated in the time evolution processes toward a Turing-like pattern and a chaotic pattern in a two-dimensional reaction-diffusion system. The contributions of reaction and diffusion to the entropy production are evaluated separately. Though its contribution to total σ is about 5%, the entropy production in diffusion foretells the moving direction of the dots (reaction spots) and the line-shaped patterns. The entropy production of the entire system σ- depicts well the cooperative dynamics and evolution of chaotic dot patterns. It is suggested that σ- can be a scalar measure for quantitative studies of hierarchic pattern dynamics. The relation is also discussed between the bifurcation parameter and the distance from thermodynamic equilibrium.
Original language | English |
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Article number | 047508 |
Journal | Chaos |
Volume | 15 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2005 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics