41 research outputs found
Depinning of semiflexible polymers in (1+1) dimensions
We present a theoretical analysis of a simple model of the depinning of an
anchored semiflexible polymer from a fixed planar substrate in (1+1)
dimensions. We consider a polymer with a discrete sequence of pinning sites
along its contour. Using the scaling properties of the conformational
distribution function in the stiff limit and applying the necklace model of
phase transitions in quasi-one-dimensional systems, we obtain a melting
criterion in terms of the persistence length, the spacing between pinning
sites, a microscopic effective length which characterizes a bond, and the bond
energy. The limitations of this and other similar approaches are also
discussed. In the case of force-induced unbinding, it is shown that the bending
rigidity favors the unbinding through a ``lever-arm effect''
Dogs, disease, and wildlife
No abstract available
Fluctuating Interfaces in Microemulsion and Sponge Phases
A simple Ginzburg-Landau theory with a single, scalar order parameter is used
to study the microscopic structure of microemulsions and sponge phases. The
scattering intensity in both film and bulk contrast, as well as averages of the
internal area , the Euler characteristic , and the mean curvature
squared , are calculated by Monte Carlo methods. The results are
compared with results obtained from a variational approach in combination with
the theory of Gaussian random fields and level surfaces. The results for the
location of the transition from the microemulsion to oil/water coexistence, for
the scattering intensity in bulk contrast, and for the dimensionless ratio
(where is the volume) are found to be in good quantitative
agreement. However, the variational approach fails to give a peak in the
scattering intensity in film contrast at finite wavevector, a peak which is
observed both in the Monte Carlo simulations and in experiment. Also, the
variational approach fails to produce a transition from the microemulsion to
the lamellar phase.Comment: 23 pages (LaTeX) + 15 figures appended, figures 10-13 upon request,
LMU-WAG-94053
Fisheries conservation and management: finding consensus in the midst of competing paradigms
[Extract] The state of the world's fisheries has been a prominent and controversial scientific and social issue over the past 20 years (Banobi, Branch & Hilborn, 2011). Influential research has suggested that we have preferentially 'fished down' top ocean predators before targeting their prey (Pauly et al., 1998) and that, as a consequence, these marine predators have declined by 90% (Myers & Worm, 2003). Even worse, it has been argued that current trends will lead to the global collapse of all fisheries by 2048 (Worm et al., 2006). These paradigms have been challenged by recent findings. The original basis for fishing down marine food webs (Pauly et al., 1998) was based on trophic levels – the average position within food webs, where microscopic algae are at trophic level one, herbivores at trophic level two and predators at trophic level three or higher. Pauly et al. (1998) found a precipitous decline in the average trophic level of commercial catches. However, recent analyses of catches and unbiased data from scientific surveys and stock assessments show that mean trophic levels are increasing rather than decreasing, and that this indicator does not reliably track changes in marine ecosystem health (Branch et al., 2010). In any case, in most ecosystems where average trophic level has declined, such trends are due not to waning top-predator catches ('fishing down'), but to increasing catches of low-trophic-level species, or 'fishing through' (Essington, Beaudreau & Wiedenmann, 2006). Where collapses have occurred, they are up to twice as frequent in small, short-lived species low on the food web than in long-lived predators (Pinsky et al., 2011)