We study the influence of structural obstacles in a disordered environment on
the size and shape characteristics of long flexible polymer macromolecules. We
use the model of self-avoiding random walks on diluted regular lattices at the
percolation threshold in space dimensions d=2, 3. Applying the Pruned-Enriched
Rosenbluth Method (PERM), we numerically estimate rotationally invariant
universal quantities such as the averaged asphericity A_d and prolateness S of
polymer chain configurations. Our results quantitatively reveal the extent of
anisotropy of macromolecules due to the presence of structural defects.Comment: 8 page

Blavatska, Viktoria

Janke, Wolfhard

English

arXiv

Hellmut Baumgärtel

Fernando Lledó

Crossref

An application of the DR-duality theory for compact groups to endomorphism categories of C*-algebras with nontrivial center

In Rev. Math. Phys. 4 (1997) 785 we study Hilbert-C* systems {F,G} where the fixed point algebra A has nontrivial center Z and where A'cap F=Z is satisfied. The corresponding category of all canonical endomorphisms of A contains characteristic mutually isomorphic subcategories of the Doplicher/Roberts-type which are connected with the choice of distinguished G-invariant algebraic Hilbert spaces within the corresponding G-invariant Hilbert Z-modules. We present in this paper the solution of the corresponding inverse problem. More precisely, assuming that the given endomorphism category T of a C*-algebra A with center Z contains a certain subcategory of the DR-type, a Hilbert extension {F,G} of A is constructed such that T is isomorphic to the category of all canonical endomorphisms of A w.r.t. {F,G} and A'cap F=Z. Furthermore, there is a natural equivalence relation between admissible subcategories and it is shown that two admissible subcategories yield A-module isomorphic Hilbert extensions iff they are equivalent. The essential step of the solution is the application of the standard DR-theory to the assigned subcategory

Baumgärtel, H.

Lledo, F.

MPG.PuRe

Shape anisotropy of polymers in disordered environment

Shape anisotropy of polymers in disordered environment

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