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The Kolmogorov-Sinai (KS) entropy in turbulent diffusion of magnetic fieldlines is analyzed on the basis of a numerical simulation model and theoreticalinvestigations. In the parameter range of strongly anisotropic magneticturbulence the KS entropy is shown to deviate considerably from the earlierpredicted scaling relations [Rev. Mod. Phys. {\bf 64}, 961 (1992)]. Inparticular, a slowing down logarithmic behavior versus the so-called Kubonumber $R\gg 1$ ($R = (\delta B / B_0) (\xi_\| / \xi_\bot)$, where $\delta B /B_0$ is the ratio of the rms magnetic fluctuation field to the magnetic fieldstrength, and $\xi_\bot$ and $\xi_\|$ are the correlation lengths in respectivedimensions) is found instead of a power-law dependence. These discrepancies areexplained from general principles of Hamiltonian dynamics. We discuss theimplication of Hamiltonian properties in governing the paradigmatic"percolation" transport, characterized by $R\to\infty$, associating it with theconcept of pseudochaos (random non-chaotic dynamics with zero Lyapunovexponents). Applications of this study pertain to both fusion and astrophysicalplasma and by mathematical analogy to problems outside the plasma physics.  This research article is dedicated to the memory of Professor George M.Zaslavsky

Kolmogorov-Sinai entropy in field line diffusion by anisotropic magnetic turbulence