Refine
Document Type
- Article (2)
Language
- English (2) (remove)
Has Fulltext
- yes (2)
Is part of the Bibliography
- no (2) (remove)
Keywords
- Cucujoidea (1)
- Curculionoidea (1)
- Cycad pollination (1)
- symbiosis (1)
Institute
Three groups of beetles inhabit cones of cycads (Cycadales) in the northern hemisphere and are believed to be involved in their pollination. The primitive weevil subtribe Allocorynina (Coleoptera: Belidae) is restricted to the New World cycad genera Dioon Lindl. and Zamia L. One group of weevils (Curculionidae), found only in Cycas L., appears to be a relatively recent colonizer of northern hemisphere cycads. Members of the beetle subfamily Pharaxonothinae (Erotylidae) occur in all Asian and New World cycad genera. Phylogenetic trees of these beetles, based on DNA analysis and supported with morphological studies, are compared to patterns of continental drift and cycad phylogenies. Laurasian origins are suggested for these beetle groups with high latitude dispersal for at least one of these groups during periods of global warm climates.
We investigate the ratios βη≡η/τπ and βζ≡ζ/τΠ, i.e., the ratios of shear, η, and bulk, ζ, viscosities to the relaxation times τπ, τΠ of the shear stress tensor and bulk viscous pressure, respectively, in the framework of causal relativistic dissipative fluid dynamics. These viscous transport coefficients are computed both in a field-theoretical and a kinetic approach based on the Boltzmann equation. Our results differ from those of the traditional Boltzmann calculation by Israel and Stewart. The new expressions for the viscous transport coefficients agree with the results obtained in the field-theoretical approach when the contributions from pair annihilation and creation (PAC) are neglected. The latter induce non-negligible corrections to the viscous transport coefficients.