Abstract: 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 addition, the new CS-CL simulation facilitates the study of fluctuation phenomena in collections of asymptotically long polymer chains semi-dilute solution. In contrast with the 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. We anticipate that this methodology will facilitate efficient simulations of a wide range of systems, including complicated branched and networked polymers and liquid crystalline polymers.

Date&Time: April 23, 2013 (Thursday),15:00 -16:00  
Location:  606 Conference Room