We establish an exact relation between self-avoiding branched polymers in D + 2 continuum dimensions and the hard-core continuum gas at negative activity in D dimensions. We review conjectures and results on critical exponents for D + 2 = 2, 3, 4 and show that they are corollaries of our result. We explain the connection (ﬁrst proposed by Parisi and Sourlas) between branched polymers in D + 2 dimensions and the Yang-Lee edge singularity in D dimensions.
Is a branch of polymer science dealing with analysis and characterisation of polymers. üThe complication of macromolecular chains, the dispersion in molecular weight, tacticity, crystallinity, orientation, composition of polymers etc. and complex morphological systems ⇒ analysis of polymer ≠ the small organic materials ⇒ Focus on viscoelastic properties, dynamic mechanical testing.
During the last ten to fifteen years the developments in polymer science has been striking attention and undergone important changes. From rather specialized subject intended for engineers interested in certain definite fields, it has developed into one of the fundamental disciplines common to several branches of engineering and science. To serve this purpose, the subject materials have been prepared to treat a comprehensive aspects of polymer science.
Materials are evolving today faster than at any time in history. Industrial nations
regard the development of new and improved materials as an “underpinning technology”
– one which can stimulate innovation in all branches of engineering, making
possible new designs for structures, appliances, engines, electrical and electronic devices,
processing and energy conservation equipment, and much more.
Glucosyltransferase (GTF)-I from cariogenicStreptococcus sobrinuselon-gates thea-(1fi3)-linked glucose polymer branches on the primer dextran
bound to the C-terminal glucan-binding domain. We investigated the GTF-I-catalyzed glucan synthesis reaction in the absence of the primer dextran.
The time course of saccharide production during dextran-independent glu-can synthesis from sucrose was analyzed.