14,767 research outputs found
Phase ordering of two-dimensional symmetric binary fluids: a droplet scaling state
The late-stage phase ordering, in dimensions, of symmetric fluid
mixtures violates dynamical scaling. We show however that, even at 50/50 volume
fractions, if an asymmetric droplet morphology is initially present then this
sustains itself, throughout the viscous hydrodynamic regime, by a
`coalescence-induced coalescence' mechanism. Scaling is recovered (with length
scale , as in ). The crossover to the inertial hydrodynamic
regime is delayed even longer than in ; on entering it, full symmetry is
finally restored and we find , regardless of the initial state.Comment: 4 pages, three figures include
Electromagnetic Vacuum of Complex Media: Dipole Emission vs. Light Propagation, Vacuum Energy, and Local Field Factors
We offer a unified approach to several phenomena related to the
electromagnetic vacuum of a complex medium made of point electric dipoles. To
this aim, we apply the linear response theory to the computation of the
polarization field propagator and study the spectrum of vacuum fluctuations.
The physical distinction among the local density of states which enter the
spectra of light propagation, total dipole emission, coherent emission, total
vacuum energy and Schwinger-bulk energy is made clear. Analytical expressions
for the spectrum of dipole emission and for the vacuum energy are derived.
Their respective relations with the spectrum of external light and with the
Schwinger-bulk energy are found. The light spectrum and the Schwinger-bulk
energy are determined by the Dyson propagator. The emission spectrum and the
total vacuum energy are determined by the polarization propagator. An exact
relationship of proportionality between both propagators is found in terms of
local field factors. A study of the nature of stimulated emission from a single
dipole is carried out. Regarding coherent emission, it contains two components.
A direct one which is transferred radiatively and directly from the emitter
into the medium and whose spectrum is that of external light. And an indirect
one which is radiated by induced dipoles. The induction is mediated by one (and
only one) local field factor. Regarding the vacuum energy, we find that in
addition to the Schwinger-bulk energy the vacuum energy of an effective medium
contains local field contributions proportional to the resonant frequency and
to the spectral line-width.Comment: Typos fixed, journal ref. adde
Adsorption of arsenate on Fe-(hydr)oxide
Adsorption using metal oxide materials has been demonstrated to be an effective technique to remove hazardous materials from water, due to its easy operation, low cost, and high efficiency. The high number of oxyanions in aquatic ecosystems causes serious pollution problems. Removal of arsenate (H2AsO4 -), is one of the major concerns, since it is a highly toxic anion for life. Within the metal oxides, the iron oxide is considered as a suitable material for the elimination of oxyanions. The adsorption of H2AsO4 - on Fe-(hydr)oxide is through the formation of inner or outer sphere complexes. In this work, through computational methods, a complete characterization of the adsorbed surface complexes was performed. Three different pH conditions were simulated (acidic, intermediate and basic), and it was found that, the thermodynamic favourability of the different adsorbed complexes was directly related to the pH. Monodentate complex (MM1) was the most thermodynamically favourable complex with an adsorption energy of -96.0kJ/mol under intermediate pH conditions. © Published under licence by IOP Publishing Ltd
On the third order structure function for rotating 3D homogeneous turbulent flow
A form for the two-point third order structure function has been calculated
for three dimensional homogeneous incompressible slowly rotating turbulent
fluid. It has been argued that it may possibly hint at the initiation of the
phenomenon of two-dimensionalisation of the 3D incompressible turbulence owing
to rotation.Comment: This revised version corrects some serious flaws in the discussions
after the equation (2) and the equation (13) of the earlier version. Some
typos are also correcte
Dissipation scales and anomalous sinks in steady two-dimensional turbulence
In previous papers I have argued that the \emph{fusion rules hypothesis},
which was originally introduced by L'vov and Procaccia in the context of the
problem of three-dimensional turbulence, can be used to gain a deeper insight
in understanding the enstrophy cascade and inverse energy cascade of
two-dimensional turbulence. In the present paper we show that the fusion rules
hypothesis, combined with \emph{non-perturbative locality}, itself a
consequence of the fusion rules hypothesis, dictates the location of the
boundary separating the inertial range from the dissipation range. In so doing,
the hypothesis that there may be an anomalous enstrophy sink at small scales
and an anomalous energy sink at large scales emerges as a consequence of the
fusion rules hypothesis. More broadly, we illustrate the significance of
viewing inertial ranges as multi-dimensional regions where the fully unfused
generalized structure functions of the velocity field are self-similar, by
considering, in this paper, the simplified projection of such regions in a
two-dimensional space, involving a small scale and a large scale , which
we call, in this paper, the -plane. We see, for example, that the
logarithmic correction in the enstrophy cascade, under standard molecular
dissipation, plays an essential role in inflating the inertial range in the
plane to ensure the possibility of local interactions. We have also
seen that increasingly higher orders of hyperdiffusion at large scales or
hypodiffusion at small scales make the predicted sink anomalies more resilient
to possible violations of the fusion rules hypothesis.Comment: 22 pages, resubmitted to Phys. Rev.
An H-Theorem for the Lattice Boltzmann Approach to Hydrodynamics
The lattice Boltzmann equation can be viewed as a discretization of the
continuous Boltzmann equation. Because of this connection it has long been
speculated that lattice Boltzmann algorithms might obey an H-theorem. In this
letter we prove that usual nine-velocity models do not obey an H-theorem but
models that do obey an H-theorem can be constructed. We consider the general
conditions a lattice Boltzmann scheme must satisfy in order to obey an
H-theorem and show why on a lattice, unlike the continuous case, dynamics that
decrease an H-functional do not necessarily lead to a unique ground state.Comment: 6 pages, latex, no figures, accepted for publication in Europhys.
Let
Material studies related to lunar surface exploration. Volume 4 - Preliminary studies for the design of engineering probes Final report, 6 Mar. 1967 - 30 Jun. 1968
Preliminary design of engineering probes for studying lunar surface material propertie
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