8,773 research outputs found
Towards a unification of HRT and SCOZA
The Hierarchical Reference Theory (HRT) and the Self-Consistent
Ornstein-Zernike Approximation (SCOZA) are two liquid state theories that both
furnish a largely satisfactory description of the critical region as well as
phase separation and the equation of state in general. Furthermore, there are a
number of similarities that suggest the possibility of a unification of both
theories. As a first step towards this goal we consider the problem of
combining the lowest order gamma expansion result for the incorporation of a
Fourier component of the interaction with the requirement of consistency
between internal and free energies, leaving aside the compressibility relation.
For simplicity we restrict ourselves to a simplified lattice gas that is
expected to display the same qualitative behavior as more elaborate models. It
turns out that the analytically tractable Mean Spherical Approximation is a
solution to this problem, as are several of its generalizations. Analysis of
the characteristic equations shows the potential for a practical scheme and
yields necessary conditions any closure to the Ornstein Zernike relation must
fulfill for the consistency problem to be well posed and to have a unique
differentiable solution. These criteria are expected to remain valid for more
general discrete and continuous systems, even if consistency with the
compressibility route is also enforced where possible explicit solutions will
require numerical evaluations.Comment: Minor changes in accordance with referee comment
Self-consistent Ornstein-Zernike approximation for molecules with soft cores
The Self-Consistent Ornstein-Zernike Approximation (SCOZA) is an accurate
liquid state theory. So far it has been tied to interactions composed of hard
core repulsion and long-range attraction, whereas real molecules have soft core
repulsion at short distances. In the present work, this is taken into account
through the introduction of an effective hard core with a diameter that depends
upon temperature only. It is found that the contribution to the configurational
internal energy due to the repulsive reference fluid is of prime importance and
must be included in the thermodynamic self-consistency requirement on which
SCOZA is based. An approximate but accurate evaluation of this contribution
relies on the virial theorem to gauge the amplitude of the pair distribution
function close to the molecular surface. Finally, the SCOZA equation is
transformed by which the problem is reformulated in terms of the usual SCOZA
with fixed hard core reference system and temperature-dependent interaction
The 30/20 GHZ net market assessment
By creating a number of market scenarios variations dealing with network types, network sizes, and service price levels were analyzed for their impact on market demand. Each market scenario represents a market demand forecast with results for voice, data, and video service traffic expressed in peak load megabits per second
Soft core thermodynamics from self-consistent hard core fluids
In an effort to generalize the self-consistent Ornstein-Zernike approximation
(SCOZA) -- an accurate liquid-state theory that has been restricted so far to
hard-core systems -- to arbitrary soft-core systems we study a combination of
SCOZA with a recently developed perturbation theory. The latter was constructed
by Ben-Amotz and Stell [J. Phys. Chem. B 108,6877-6882 (2004)] as a
reformulation of the Week-Chandler-Andersen perturbation theory directly in
terms of an arbitrary hard-sphere reference system. We investigate the accuracy
of the combined approach for the Lennard-Jones fluid by comparison with
simulation data and pure perturbation theory predictions and determine the
dependence of the thermodynamic properties and the phase behavior on the choice
of the effective hard-core diameter of the reference system.Comment: 38 pages, 10 figure
Laboratory experiments on current flow between stationary and moving electrodes in magnetoplasmas
Laboratory experiments were performed in order to investigate the basic physics of current flow between tethered electrodes in magnetoplasmas. The major findings are summarized. The experiments are performed in an effectively very large laboratory plasma in which not only the nonlinear current collection is addressed but also the propagation and spread of currents, the formation of current wings by moving electrodes, the current closure, and radiation from transmission lines. The laboratory plasma consists of a pulsed dc discharge whose Maxwellian afterglow provides a quiescent, current-free uniform background plasma. Electrodes consisting of collectors and electron emitters are inserted into the plasma and a pulsed voltage is applied between two floating electrodes via insulated transmission lines. Besides the applied current in the wire, the total current density in the plasma is obtained from space and time resolved magnetic probe measurements via Maxwell's law. Langmuir probes yield the plasma parameters
Lower algebraic K-theory of certain reflection groups
For a finite volume geodesic polyhedron P in hyperbolic 3-space, with the
property that all interior angles between incident faces are integral
submultiples of Pi, there is a naturally associated Coxeter group generated by
reflections in the faces. Furthermore, this Coxeter group is a lattice inside
the isometry group of hyperbolic 3-space, with fundamental domain the original
polyhedron P. In this paper, we provide a procedure for computing the lower
algebraic K-theory of the integral group ring of such Coxeter lattices in terms
of the geometry of the polyhedron P. As an ingredient in the computation, we
explicitly calculate some of the lower K-groups of the dihedral groups and the
product of dihedral groups with the cyclic group of order two.Comment: 35 pages, 2 figure
A Kinetic Model for Grain Growth
We provide a well-posedness analysis of a kinetic model for grain growth
introduced by Fradkov which is based on the von Neumann-Mullins law. The model
consists of an infinite number of transport equations with a tri-diagonal
coupling modelling topological changes in the grain configuration.
Self-consistency of this kinetic model is achieved by introducing a coupling
weight which leads to a nonlinear and nonlocal system of equations.
We prove existence of solutions by approximation with finite dimensional
systems. Key ingredients in passing to the limit are suitable super-solutions,
a bound from below on the total mass, and a tightness estimate which ensures
that no mass is transported to infinity in finite time.Comment: 24 page
The 18/30 GHz fixed communications system service demand assessment. Volume 1: Executive summary
The total demand for voice, video, and data communications services, and satellite transmission services at the 4/6 GHz, 12/14 GHz, and 18/30 GHz frequencies is discussed. Major study objectives, overall methodology, results, and general observations about a satellite systems market characteristics and trends are summarized
The 30/20 GHz fixed communications systems service demand assessment. Volume 3: Appendices
The market analysis of voice, video, and data 18/30 GHz communications systems services and satellite transmission services is discussed. Detail calculations, computer displays of traffic, survey questionnaires, and detailed service forecasts are presented
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