432 research outputs found
Fractional generalization of the Ginzburg-Landau equation: An unconventional approach to critical phenomena in complex media
Equations built on fractional derivatives prove to be a powerful tool in the
description of complex systems when the effects of singularity, fractal
supports, and long-range dependence play a role. In this paper, we advocate an
application of the fractional derivative formalism to a fairly general class of
critical phenomena when the organization of the system near the phase
transition point is influenced by a competing nonlocal ordering. Fractional
modifications of the free energy functional at criticality and of the widely
known Ginzburg-Landau equation central to the classical Landau theory of
second-type phase transitions are discussed in some detail. An implication of
the fractional Ginzburg-Landau equation is a renormalization of the transition
temperature owing to the nonlocality present.Comment: 10 pages, improved content, submitted for publication to Phys. Lett.
Analysis of Human Errors in Industrial Incidents and Accidents for Improvement of Work Safety
The Ecology of Human-Machine Systems II: Mediating 'Direct Perception' in Complex Work Domains
Beam stabilization in the two-dimensional nonlinear Schrodinger equation with an attractive potential by beam splitting and radiation
Experimental infection of pregnant sows with African swine fever (ASFV Georgia 2007): Clinical outcome, pathogenesis and vertical transmission
Larval mortality rates and population dynamics of Lesser Sandeel (Ammodytes marinus) in the northwestern North Sea
Intense fishing of a stock of sandeels (Ammodytes marinus) on the sand banks off the Firth of Forth, northeast Scotland, during the 1990s led to a decline in catch per unit effort to uneconomic levels and collateral failures of piscivorous seabird breeding success at nearby colonies. A prohibition on fishing in 1999 was followed by a short-term recovery of stock biomass, but then a sustained decline to very low levels of abundance. Demographic survey data show that despite the decline in stock, recruit abundance was maintained implying an increasing larval survival rate, and that the stock decline was not due to recruitment failure. To verify this hypothesis we analysed a 10-year long data set of weekly catches of sandeel larvae at a nearby plankton monitoring site to determine the patterns of larval mortality and dispersal. We found that the loss rate of larvae up to 20 d age decreased over time, corresponding with the trend in survival rate implied by the stock demography data. The pattern of loss rate in relation to hatchling abundance implied that mortality may have been density dependent. Our study rules out increased larval mortality as the primary cause of decline in the sandeel stock
Restoration of enteroendocrine and pancreatic function after internal hernia and short bowel syndrome in a young woman with gastric bypass - a 2-year follow-up
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