The equation of state of a mixture of hard spheres is calculated using the one- and two-fluid van der Waals theories and the three-fluid theory. The one-fluid theory is found to be in the best agreement with the machine-simulation results.

We investigate the role of weak clamping forces, typically assumed to be infinite, in carbon nanotube mechanical resonators. Due to these forces, we observe a hysteretic clamping and unclamping of the nanotube device that results in a discrete drop in the mechanical resonance frequency on the order of 5-20 MHz, when the temperature is cycled between 340 and 375 K. This instability in the resona...

Surface properties are obtained from an extension of the direct simulation Monte Carlo algorithm to a hard sphere system with an innnite range, weak attractive potential that obeys the van der Waals equation of state. Liquid-vapor surface tension measurements both

The Poisson-Boltzmann equation is widely used for modeling the electrostatics of biomolecules, but the calculation results are sensitive to the choice of the boundary between the low solute dielectric and the high solvent dielectric. The default choice for the dielectric boundary has been the molecular surface, but the use of the van der Waals surface has also been advocated. Here we review rec...

Using the general expressions for level shifts obtained from the master equation for a small system interacting with a large one considered as a reservoir, we calculate the dispersive potentials between an atom and a wall in the dipole approximation. We analyze in detail the particular case of a two-level atom in the presence of a perfectly conducting wall. We study the van der Waals as well as...

We have developed a model for the calculation of van der Waals force for layered systems with axial symmetry. Our result can be applied to compute the cohesion of a carbon nanotube to a substrate, the cohesion between nanotubes, and between shells of multiwall nanotubes. We have obtained unusal power laws for the distance dependence of the many-body van der Waals potential.

Part I Near-equilibrium critical dynamics 1 Introduction 3 1 Equilibrium critical phenomena 5 1.1 Mean-field theory 6 1.1.1 Van-der-Waals equation of state 6 1.1.2 Mean-field theory for the ferromagnetic Ising model 9 1.1.3 Ornstein–Zernicke correlation function 14 1.2 Landau–Ginzburg theory 17 1.2.1 Mean-field theory revisited: Landau expansion 17 1.2.

More than a hundred equations of state relating the pressure, volume, and temperature of gases have been proposed according to Dodge ( 7 ) , but only a very few of them have attained any practical importance as the majority do not represent the data with sufficient accuracy. In this work the significant pressure-volume-temperature (hereafter referred to as P V T ) characteristics of pure gases ...

In this paper, the nonlinear dynamic buckling of double-walled boron-nitride nanotube (DWBNNT) conveying viscous fluid is investigated based on Eringen's theory. BNNT is modeled as an Euler-Bernoulli beam and is subjected to combine mechanical, electrical and thermal loading. The effect of viscosity on fluid-BNNT interaction is considered based on Navier-Stokes relation. The van der Waals (vdW)...

We derive the van der Waals energy and pressure in a planar multilayer system with arbitrary number of dissipative films between two half-spaces. A unique feature of this work is that the entire analysis is performed on the real frequency axis instead of summation over Matsubara frequencies on the imaginary frequency axis. The expression we obtain for van der Waals energy is a generalization of...