We study the existence of global-in-time weak solutions to a coupled microscopicmacroscopic bead-spring model which arises from the kinetic theory of dilute solutions of polymeric liquids with noninteracting polymer chains. The model consists of the unsteady incompressible Navier–Stokes equations in a bounded domain Ω ⊂ Rd, d = 2 or 3, for the velocity and the pressure of the fluid, with an ela...

In Hard Disk Drives (HDD), it is necessary to decrease the Flying Height (FH) between the head and the disk (currently, FH is around 3-5 nm) so as to increase recording densities. Retaining the solid lubricant has become a difficult proposition owing to intermittent contact between the surfaces. ZTMD and Z are used as solid lubricant to lubricate these interfaces. In this paper, the behavior of...

The microphase separation of hydrated perfluorinated sulfonic acid membrane Nafion was investigated using Dissipative Particle Dynamics (DPD). The nafion as a polymer was modelled by connecting coarse grained beads which corresponds to the hydrophobic backbone of polytetrafluoroethylene and perfluorinated side chains terminated by hydrophilic end particles of sulfonic acid groups [1, 2]. Each f...

Bulk properties and morphology of block copolymers and polymer blends are highly sensitive to processing history due to small free energy differences among various stable and metastable states. Consequently, modeling these materials requires accounting for both thermal fluctuations and non-equilibrium processes. This has proven to be challenging with traditional approaches of energy minimizatio...

The freezing transition of tensionless fluctuating vesicles is investigated by Monte Carlo siniulations and scaling arguments for a simple tether-and-bead model of fluid membranes. In this model, a freezing transition is induced by reducing the tether length. In the case of planar membranes (with periodic boundary conditions ), the model shows a fiuid~to-crystalline transition at a tether lengt...

The mechanical behavior and properties of multilayer graphene sheets and nanoribbons have been a subject of intensive research in recent years, due to their potential in electronic, structural and thermal applications. Calculations of effective properties range from molecular dynamic simulations to use of structural mechanical continuum models. Here, structural and elastic parameters are obtain...

We consider a simple model for the fluctuating hydrodynamics of a flexible polymer in dilute solution, demonstrating geometric ergodicity for a pair of particles that interact with each other through a nonlinear spring potential while being advected by a stochastic Stokes fluid velocity field. This is a generalization of previous models which have used linear spring forces as well as white-in-t...