A fluctuation theorem for phase turbulence of chemical oscillatory waves

Details A fluctuation theorem for phase turbulence of chemical oscillatory waves A fluctuation theorem for phase turbulence of chemical oscillatory waves

2000-10-13

arxiv.org/abs/nlin/0010026v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures

Scientific paper

Through numerical simulations of the Kuramoto equation, which displays high-dimensional dissipative chaos, we find a quantity representing the cost for maintenance of a spatially non-uniform structure that appears in the phase turbulence of chemical oscillatory waves. We call this quantity the generalized entropy production and demonstrate that its distribution function possesses a symmetry expressed by a fluctuation theorem. We also report a numerical result which suggests a relation between this generalized entropy production rate and the Kolmogorov-Sinai entropy.

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