1. Lattice star and acyclic branched polymer vertex exponents in 3 d.
- Author
-
Campbell, S and Janse van Rensburg, EJ
- Subjects
BRANCHED polymers ,STAR-branched polymers ,EXPONENTS - Abstract
Numerical values of lattice star entropic exponents Îł
f , and star vertex exponents Ďf , are estimated using parallel implementations of the PERM and Wangâ€"Landau algorithms. Our results show that the numerical estimates of the vertex exponents deviate from predictions of the ϵ -expansion and confirms and improves on estimates in the literature. We also estimate the entropic exponents Îł G of a few acyclic branched lattice networks with comb and brush connectivities. In particular, we confirm within numerical accuracy the Duplantier scaling relation Îł G â' 1 = â' f â©ľ 1 m f Ď f for a comb and two brushes (where mf is the number of nodes of degree f in the network) using our independent estimates of Ďf . [ABSTRACT FROM AUTHOR]- Published
- 2022
- Full Text
- View/download PDF