Frameworks for Many - Body Ensembles Report

Number of Papers published in peer-reviewed journals: Number of Papers published in non peer-reviewed journals: Final Report: Developing Novel Frameworks for Many-Body Ensembles Report Title In this project we have made strides towards developing a mesoscopic statistical framework (MSF) to model non-equilibrium ensembles comprised of large numbers of simple components. As a testbed, we have considered inhomogeneity formation in driven non-equilibrium systems, namely we seek to predict whether inhomogeneities appear and to develop a description of inhomogeneity formation that is valid across particle and system scales. These systems can be tricky to analyze as mesoscale structures can lead to highly nonlinear macroscopic responses e.g. near a critical concentration, the effective yield stress and viscosity of a suspension may increase by many orders of magnitude with the addition of a small number of particles. Historically these systems have been modeled either by tracking individual particles (which rapidly becomes prohibitively computationally expensive as the number of particles increases), or by taking a phenomenological continuum approach in which the nonlinearities are measured experimentally for specific systems rather than derived from microscopic principles. In this project we have developed a hybrid approach which operates at the mesoscale and hence reduces computational cost (relative to MD approaches) while maintaining a direct link between effective material properties and microscopic dynamics. (a) Papers published in peer-reviewed journals (N/A for none) Enter List of papers submitted or published that acknowledge ARO support from the start of the project to the date of this printing. List the papers, including journal references, in the following categories: (b) Papers published in non-peer-reviewed journals (N/A for none) (c) Presentations 08/21/2013 Received Paper 1.00 Pawel J. Zimoch, Gareth H. McKinley, A. E. Hosoi. Capillary Breakup of Discontinuously Rate Thickening Suspensions, Physical Review Letters, (07 2013): 36001. doi: 10.1103/PhysRevLett.111.036001 TOTAL: 1