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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of theoretical probability 7 (1994), S. 703-708 
    ISSN: 1572-9230
    Keywords: Stationary processes ; determinism ; prediction ; entropy ; tail field
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We exhibit a stationary countably-valued process {V n } −∞ ∞ which is deterministic, but which is nondeterministic in the sense that whenever ...n −2〈n −1〈n 0〈n 1〈... are indices with no two consecutive, then $$\{ V_{n_i } |i \in \mathbb{Z}\} $$ is an independent process. This answers a question of Ref. 1. In addition, althoughn↦V n is deterministic, its time-reversaln↦V −n is not deterministic.
    Type of Medium: Electronic Resource
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  • 2
    Publication Date: 2015-09-03
    Description: Fluid motions within planetary cores generate magnetic fields through dynamo action. These core processes are driven by thermo-compositional convection subject to the competing influences of rotation, which tends to organize the flow into axial columns, and the Lorentz force, which tends to inhibit the relative movement of the magnetic field and the fluid. It is often argued that these forces are predominant and approximately equal in planetary cores; we test this hypothesis using a suite of numerical geodynamo models to calculate the Lorentz to Coriolis force ratio directly. Our results show that this ratio can be estimated by Λ d ∗ ≃ Λ i R m − 1 / 2 (Λ i is the traditionally defined Elsasser number for imposed magnetic fields and Rm is the system-scale ratio of magnetic induction to magnetic diffusion). Best estimates of core flow speeds and magnetic field strengths predict the geodynamo to be in magnetostrophic balance where the Lorentz and Coriolis forces are comparable. The Lorentz force may also be significant, i.e., within an order of magnitude of the Coriolis force, in the Jovian interior. In contrast, the Lorentz force is likely to be relatively weak in the cores of Saturn, Uranus, Neptune, Ganymede, and Mercury.
    Electronic ISSN: 2197-4284
    Topics: Geosciences , Physics
    Published by SpringerOpen
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