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5 papers · 1 filter
Condensation of Hard Spheres Under Gravity
Daniel C. Hong
Starting from Enskog equation of hard spheres of mass m and diameter D under the gravity g, we first derive the exact equation of motion for the equilibrium density profile at a te…
Traffic Equations and Granular Convection
Daniel C. Hong, Su Yue
We investigate both numerically and analytically the convective instability of granular materials by two dimensional traffic equations. In the absence of vibrations the traffic equ…
Some new embeddings and nonimmersions of real projective spaces
Donald M. Davis, Vitaly Zelov
We use obstruction theory to prove that if alpha(n)=2, then RP^{16n+8} cannot be immersed in R^{32n+3} and RP^{16n+10} cannot be immersed in R^{32n+11}, and that if alpha(n)>2, the…
Measurement of Isothermal Pressure of Lattice Gas by Random Walk
Daniel C. Hong, Kevin McGouldrick
We present a computational random walk method of measuring the isothermal pressure of the lattice gas with and without the excluded volume interaction. The method is based on the d…
Effect of Dissipation on Density Profile of One Dimensional Gas
Douglas A. Kurtze, Daniel C. Hong
We study the effect of dissipation on the density profile of a one dimensional gas that is subject to gravity. The gas is in thermal equilibrium at temperature T with a heat reserv…