A recently introduced systematic approach to derivations of the macroscopic dynamics from the underlying microscopic equations of motions in the short-memory approximation [Gorban et al, Phys. Rev. E 63, 066124 (2001)] is presented in detail. The essence of this method is a consistent implementation of Ehrenfest’s idea of coarse-graining, realized via a matched expansion of both the microscopic...

In this paper a general hydrodynamic mode coupling theory of equilibrium fluctuations in simple liquids is developed from molecular considerations. The approach developed hem avoids the shortcomings of previous mode coupling theories by adopting a complete hierarchy of equations for the slow modes of a hydrodynamic system and solving it formally through the N ordering approximation scheme devel...

Burnett School of Biomedical Sciences, College of Medicine, University of Central Florida, Orlando, Florida, USA *Corresponding author Mohtashem Samsam, MD, PhD Associate Professor of Medicine Burnett School of Biomedical Sciences College of Medicine University of Central Florida 4364 Scorpius St., HPA-II, 320 Orlando, FL 32816, USA Tel. 1407823 4810 Fax: 1407823 3095 E-mail: Mohtashem.Samsam@u...

In a recent paper Evans and Lynden-Bell (1989), simple equilibrium expressions were obtained for the nonlinear Burnett coeecients for a model of electrical conductivity. In this paper, we show how these expressions can be generalized to an arbitrary transport coeecient

Background Burnett County, located in northwest Wisconsin within a few hours of the Twin-Cities metropolitan region, is home to over 500 lakes (see Figure 1). Heavy development pressures and a strong local identity with the lakes have fueled interest in protecting their health and aesthetic appeal. The county enjoys a long history of partnerships for lake management that includes county agencie...