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Calibration and comparison of chlorine decay models for a test water distribution system
This paper investigates the kinetics of monochloramine as disinfectant in a 1.3 km water pipe. A novel procedure for the correction of chlorine meter errors is introduced and applied. Parameter estimation using nonlinear optimisation procedures is used to identify decay coefficients for monochloramine models with a single coefficient or two coefficients as used in EPANET. Important difficulties in fitting these parameters which come about because of the model structure are highlighted. Finally, results of
decay coefficients are presented and investigated for flow, inlet chlorine concentration and temperature dependence
Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction
We analyze the nonequilibrium transport properties of a quantum dot with a
harmonic degree of freedom (Holstein phonon) coupled to metallic leads, and
derive its full counting statistics (FCS). Using the Lang-Firsov (polaron)
transformation, we construct a diagrammatic scheme to calculate the cumulant
generating function. The electron-phonon interaction is taken into account
exactly, and the employed approximation represents a summation of a diagram
subset with respect to the tunneling amplitude. By comparison to Monte Carlo
data the formalism is shown to capture the basic properties of the strong
coupling regime
Noise-Activated Escape from a Sloshing Potential Well
We treat the noise-activated escape from a one-dimensional potential well of
an overdamped particle, to which a periodic force of fixed frequency is
applied. We determine the boundary layer behavior, and the physically relevant
length scales, near the oscillating well top. We show how stochastic behavior
near the well top generalizes the behavior first determined by Kramers, in the
case without forcing. Both the case when the forcing dies away in the weak
noise limit, and the case when it does not, are examined. We also discuss the
relevance of various scaling regimes to recent optical trap experiments.Comment: 9 pages, no figures, REVTeX, expanded versio
Signatures of the term in ultrastrongly-coupled oscillators
We study a bosonic matter excitation coupled to a single-mode cavity field
via electric dipole. Counter-rotating and terms are included in the
interaction model, being the vector potential of the cavity
field. In the ultrastrong coupling regime the vacuum of the bare modes is no
longer the ground state of the Hamiltonian and contains a nonzero population of
polaritons, the true normal modes of the system. If the parameters of the model
satisfy the Thomas-Reiche-Kuhn sum rule, we find that the two polaritons are
always equally populated. We show how this prediction could be tested in a
quenching experiment, by rapidly switching on the coupling and analyzing the
radiation emitted by the cavity. A refinement of the model based on a
microscopic minimal coupling Hamiltonian is also provided, and its consequences
on our results are characterized analytically.Comment: 11 pages, 5 figure
Theory of plasmon-enhanced high-harmonic generation in the vicinity of metal nanostructures in noble gases
We present a semiclassical model for plasmon-enhanced high-harmonic
generation (HHG) in the vicinity of metal nanostructures. We show that both the
inhomogeneity of the enhanced local fields and electron absorption by the metal
surface play an important role in the HHG process and lead to the generation of
even harmonics and to a significantly increased cutoff. For the examples of
silver-coated nanocones and bowtie antennas we predict that the required
intensity reduces by up to three orders of magnitudes and the HHG cutoff
increases by more than a factor of two. The study of the enhanced high-harmonic
generation is connected with a finite-element simulation of the electric field
enhancement due to the excitation of the plasmonic modes.Comment: 4 figure
Spatial coherence and stability in a disordered organic polariton condensate
Although only a handful of organic materials have shown polariton
condensation, their study is rapidly becoming more accessible. The spontaneous
appearance of long-range spatial coherence is often recognized as a defining
feature of such condensates. In this work, we study the emergence of spatial
coherence in an organic microcavity and demonstrate a number of unique features
stemming from the peculiarities of this material set. Despite its disordered
nature, we find that correlations extend over the entire spot size and we
measure values of nearly unity at short distances and of 50%
for points separated by nearly 10 m. We show that for large spots, strong
shot to shot fluctuations emerge as varying phase gradients and defects,
including the spontaneous formation of vortices. These are consistent with the
presence of modulation instabilities. Furthermore, we find that measurements
with flat-top spots are significantly influenced by disorder and can, in some
cases, lead to the formation of mutually incoherent localized condensates.Comment: Revised versio
Tunable negative permeability in a quantum plasmonic metamaterial
We consider the integration of quantum emitters into a negative permeability
metamaterial design in order to introduce tunability as well as nonlinear
behavior. The unit cell of our metamaterial is a ring of metamolecules, each
consisting of a metal nanoparticle and a two-level semiconductor quantum dot
(QD). Without the QDs, the ring of the unit cell is known to act as an
artificial optical magnetic resonator. By adding the QDs we show that a Fano
interference profile is introduced into the magnetic field scattered from the
ring. This induced interference is shown to cause an appreciable effect in the
collective magnetic resonance of the unit cell. We find that the interference
provides a means to tune the response of the negative permeability
metamaterial. The exploitation of the QD's inherent nonlinearity is proposed to
modulate the metamaterial's magnetic response with a separate control field.Comment: 11 pages, 6 figure
Variations of the Lifshitz-van der Waals force between metals immersed in liquids
We present a theoretical calculation of the Lifshitz-van der Waals force
between two metallic slabs embedded in a fluid, taking into account the change
of the Drude parameters of the metals when in contact with liquids of different
index of refraction. For the three liquids considered in this work, water,
and the change in the Drude parameters of the metal imply a
difference of up to 15% in the determination of the force at short separations.
These variations in the force is bigger for liquids with a higher index of
refraction.Comment: 2 figures, 1 tabl
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