For increasingly rarefied flowfields, the predictions from continuum formulation, such as the Navier–Stokes equations lose accuracy. These inaccuracies are attributed primarily to the linear approximations of the stress and heat flux terms in the Navier– Stokes equations. The inclusion of higher order terms, such as Burnett, or high-order moment equations, could improve the predictive capabilit...

The modified Rankine-Hugoniot equations across a standing normal shockwave were discussed and adapted to obtain jump conditions for shockwave structure calculations. Coupling the modified Rankine-Hugoniot equations with the Burnett equations, the shockwave structure in a weakly ionized gas flow was computed and analyzed for a wide range of free-stream Mach numbers ranging from 1.75 to 6.0, with...

Recently, stretched exponential decay of multiple correlations in the periodic Lorentz gas has been used to show the convergence of a series of correlations which has the physical interpretations as the fourth order Burnett coefficient, a generalization of the diffusion coefficient. Here the result is extended to include all higher order Burnett coefficients, and give a plausible argument that ...

The linear super-Burnett coefficient gives corrections to the diffusion equation in the form of higher derivatives of the density. Like the diffusion coefficient, it can be expressed in terms of integrals of correlation functions, but involving four different times. The power law decay of correlations in real gases (with many moving particles) and the random Lorentz gas (with one moving particl...

The previous decade has seen a variety of trends and developments in the area of communications and thus multimedia access. While individual, isolated developments produced small advances on the status quo, their combination and cross-fertil ization resulted in today’s complex but exciting landscape. In particular, we are beginning to see delivery of all types of data for all types of users in ...

For a mult i component and multi-temperature gas-mixture the matrix elements o f the linearized Bol tzmann collision operator are investigated for isotropic interaction potentials. The representation b y means o f Burnett basis functions simplifies the algebraic structure and enables closed expressions for the general results, which can also be used for an investigation o f inelastic collisions...

In their article recently published in Biophysical Journal (1) Burnett and Carlsson present a theoretical analysis of experimental data that we have previously published and analyzed (2). Our work provided evidence for a random mechanism of inorganic phosphate (Pi) release subsequent to chemical cleavage of ATP on individual actin filaments. Burnett and Carlsson examine the alternative possibil...

In previous papers [Phys. Rev. A 41, 4501 (1990), Phys. Rev. E 18, 3178 (1993)], simple equilibrium expressions were obtained for nonlinear Burnett coefficients. A preliminary calculation of a 32 particle Lennard-Jones fluid was presented in the previous paper. Now, sufficient resources have become available to address the question of whether nonlinear Burnett coefficients are finite for soft s...