We give a simple proof, based only on combinatorial arguments, of the Koteck y-Preiss condition for the convergence of the cluster expansion. Then we consider spin systems with long range, N body interactions. We prove directly, using polymer gas representation, that the pressure may be written in terms of an absolutely convergent series uniformely in the volume, when the interaction is summabl...

For the future medical diagnostics, high-sensitive, rapid, and cost effective biosensors to detect the biomarkers have been desired. In this study, the polymer-based two-dimensional photonic crystal (2DPC) was fabricated using nanoimprint lithography (NIL) for biosensing application. In addition, for biosensing application, label-free detection of fibrinogen which is a biomarker to diagnose the...

We discuss the formation of large loops in adsorbed polymer layers when the bulk concentration C is large. This allows us to introduce a new characteristic length A that corresponds to the extension of the loops in the bulk. We find that A NC~/~ and increases from the screening length f to the radius of the chains when concentration increases. This

Abstract. We consider the system of equations that describes small nonstationary motions of viscous incompressible fluid with a large number of small rigid interacting particles. This system is a microscopic mathematical model of complex fluids such as colloidal suspensions, polymer solutions etc. We suppose that the system of particles depends on a small parameter ε in such a way that the size...

We report measurements of turbulent drag reduction of two different polyelectrolyte solutions: DNA and hydrolyzed Polyacrylamide. Changing the salt concentration in the solutions allows us to change the flexibility of the polymer chains. For both polymers the amount of drag reduction was found to increase with the flexibility. Rheological studies reveal that the elongational viscosity of the so...

We present a new approach to investigating the dynamics of loop formation in a very crude polymer model and estimate the mean first time for the two ends to meet. This time depends on the number of monomers N . We obtain analytical formulas when N = 3, 4 in dimension two and an asymptotic formula when N is large. Our analysis is confirmed by stochastic simulations.

Abstract. With the depletion of oil reserves and increase in oil price, the enhanced oil recovery methods such as polymer flooding to increase oil production from waterflooded fields are becoming more attractive. Effective design of these processes is challenging because the polymer chemistry has a strong effect on reaction and fluid rheology, which in turn has s strong effect on fluid transpor...