Field-Theoretic Simulations

Abstract

The science and engineering of materials is entering a new era of so-called “designer materials”, wherein, based upon the properties required for a particular application, a material is designed by exploiting the self-assembly of appropriately chosen molecular constituents [1]. The desirable and marketable properties of such materials, which include plastic alloys, block and graft copolymers, and polyelectrolyte solutions, complexes, and gels, depend critically on the ability to control and manipulate morphology by adjusting a combination of molecular and macroscopic variables. For example, styrenebutadiene block copolymers can be devised that serve either as rigid, tough, transparent thermoplastics or as soft, flexible, thermoplastic elastomers, by appropriate control of copolymer architecture and styrene/butadiene ratio. In this case, the property profiles are intimately connected to the extent and type of nanoscale self-assembly that is established within the material. One of the main challenges confronting the successful design of nano-structured polymers is the development of a basic understanding of the relationship between the molecular details of the polymer formulation and the morphology that is achieved. Unfortunately, such relationships are still mainly determined by trial and error experimentation. A purely experimental-based program in pursuit of this objective proves cumbersome — primarily, due to the broad parameter space accessible at the time of synthesis and formulation. Consequently, there is a significant motivation for the development of computational tools that can enable a rational exploration of the parameter space.