1922
DOI: 10.1112/plms/s2-20.1.196
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Diffusion by Continuous Movements

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Cited by 2,149 publications
(1,611 citation statements)
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“…This table shows the total number of floats (Nrf), the calculated integral timescale ( ), the variance u 2 and the calculated diffusivity K for the different dataset (IABP, TOPAZ and neXtSIM) and time periods used in this study. All these Lagrangian statistics were computed following the diffusion theory of Taylor (1921) and using L = 1000 km and T = 250 days as averaging scales to calculate the Lagrangian mean velocities. regime transition occurs corresponds to the integral timescale = 1.71 days.…”
Section: Resultsmentioning
confidence: 99%
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“…This table shows the total number of floats (Nrf), the calculated integral timescale ( ), the variance u 2 and the calculated diffusivity K for the different dataset (IABP, TOPAZ and neXtSIM) and time periods used in this study. All these Lagrangian statistics were computed following the diffusion theory of Taylor (1921) and using L = 1000 km and T = 250 days as averaging scales to calculate the Lagrangian mean velocities. regime transition occurs corresponds to the integral timescale = 1.71 days.…”
Section: Resultsmentioning
confidence: 99%
“…Using such decomposition for studying pollutant transport by sea ice was already proposed by Colony and Thorndike (1985), who analyzed sea-ice drift data covering the period 1893-1984 while using arbitrary averaging scales (90 years and 1500 km) to define the mean motion. By using a denser sea-ice drift dataset covering the period 1978-2001 and the theoretical framework introduced by Taylor (1921) for the analysis of turbulent fluids, Rampal et al (2009b) proposed a methodology to rigorously decompose sea-ice motion into mean and turbulent-like fluctuating parts. The appropriate averaging scales (about 400 km and 5.5 months for winter conditions) were found small enough to clearly separate the interannual variability of the mean circulation from the fluctuating motion due to passing atmospheric perturbations, local oceanic eddies and inertial and tidal motion.…”
Section: Introductionmentioning
confidence: 99%
“…Note that the emergence of a dual spectrum in 2D turbulence requires forcing at a narrow range of scales and the spectrum tends toward E{k) ~ k for the more typical oceanic case of broad-band forcing (Lesieur, 1997). At the asymptotic limit of very long times and particle separations, when all particle correlations diminish, the so-called diffusive regime, D 2 (t) = 2K7, where K is the diffusivity coefficient, should be attained (Taylor, 1921).…”
Section: (3)mentioning
confidence: 99%
“…To test the validity of these assumptions, both sides of Taylor's theorem (Taylor, 1921) can be calculated independently (Freeland et al, 1975) and compared. The specific calculation chosen here again follows the description given in Figueroa and Olson (1989), with the exception of subtracting an ensemble mean velocity before integrating the velocity data rather than the individual floats' mean velocity.…”
Section: Eddy Diffusion In the Tropical Gyrementioning
confidence: 99%