Xingkun Man, Kris T. Delaney, Michael C. Villet, Henri Orland, Glenn H. Fredrickson
We introduce a stable and efficient complex Langevin (CL) scheme to enable the first numerical simulations of the coherent-states (CS) formulation of polymer field theory. In contrast with Edwards' well known auxiliary-field (AF) framework, the CS formulation does not contain an embedded non-linear, non-local functional of the auxiliary fields, and the action of the field theory has a fully explicit, finite-order and semi-local polynomial character. In the context of a polymer solution model, we demonstrate that the new CS-CL dynamical scheme for sampling fluctuations in the space of coherent states yields results in good agreement with now-standard AF simulations. In addition, the new framework makes accessible the asymptotic ground-state limit of collections of infinitely long polymer chains with fluctuations included. The formalism is potentially applicable to a broad range of polymer architectures and may facilitate systematic generation of trial actions for use in coarse-graining and numerical renormalization-group studies.
View original:
http://arxiv.org/abs/1301.1357
No comments:
Post a Comment