18,862 research outputs found
Standard-like Models as Type IIB Flux Vacua
We construct new semi-realistic Type IIB flux vacua on
orientifolds with three- and four- Standard Model (SM) families and up to three
units of quantized flux. The open-string sector is comprised of magnetized
D-branes and is T-dual to supersymmetric intersecting D6-brane constructions.
The SM sector contains magnetized D9-branes with negative D3-brane charge
contribution. There are large classes of such models and we present explicit
constructions for representative ones. In addition to models with one and two
units of quantized flux, we also construct the first three- and four-family
Standard-like models with supersymmetric fluxes, i.e. comprising three units of
quantized flux. Supergravity fluxes are due to the self-dual NS-NS and R-R
three-form field strength and they fix the toroidal complex structure moduli
and the dilaton. The supersymmetry conditions for the D-brane sector fix in
some models all three toroidal K\"ahler moduli. We also provide examples where
toroidal K\" ahler moduli are fixed by strong gauge dynamics on the ``hidden
sector'' D7-brane. Most of the models possess Higgs doublet pairs with Yukawa
couplings that can generate masses for quarks and leptons. The models have
(mainly right-) chiral exotics.Comment: 31 page
Connecting protein and mRNA burst distributions for stochastic models of gene expression
The intrinsic stochasticity of gene expression can lead to large variability
in protein levels for genetically identical cells. Such variability in protein
levels can arise from infrequent synthesis of mRNAs which in turn give rise to
bursts of protein expression. Protein expression occurring in bursts has indeed
been observed experimentally and recent studies have also found evidence for
transcriptional bursting, i.e. production of mRNAs in bursts. Given that there
are distinct experimental techniques for quantifying the noise at different
stages of gene expression, it is of interest to derive analytical results
connecting experimental observations at different levels. In this work, we
consider stochastic models of gene expression for which mRNA and protein
production occurs in independent bursts. For such models, we derive analytical
expressions connecting protein and mRNA burst distributions which show how the
functional form of the mRNA burst distribution can be inferred from the protein
burst distribution. Additionally, if gene expression is repressed such that
observed protein bursts arise only from single mRNAs, we show how observations
of protein burst distributions (repressed and unrepressed) can be used to
completely determine the mRNA burst distribution. Assuming independent
contributions from individual bursts, we derive analytical expressions
connecting means and variances for burst and steady-state protein
distributions. Finally, we validate our general analytical results by
considering a specific reaction scheme involving regulation of protein bursts
by small RNAs. For a range of parameters, we derive analytical expressions for
regulated protein distributions that are validated using stochastic
simulations. The analytical results obtained in this work can thus serve as
useful inputs for a broad range of studies focusing on stochasticity in gene
expression
Energy flux fluctuations in a finite volume of turbulent flow
The flux of turbulent kinetic energy from large to small spatial scales is
measured in a small domain B of varying size R. The probability distribution
function of the flux is obtained using a time-local version of Kolmogorov's
four-fifths law. The measurements, made at a moderate Reynolds number, show
frequent events where the flux is backscattered from small to large scales,
their frequency increasing as R is decreased. The observations are corroborated
by a numerical simulation based on the motion of many particles and on an
explicit form of the eddy damping.Comment: 10 Pages, 5 figures, 1 tabl
Charge-ordering, commensurability and metallicity in the phase diagram of layered Na(x)CoO(2)
The phase diagram of non-hydrated Na(x)CoO(2) has been determined by changing
the Na content x using a series of chemical reactions. As x increases from 0.3,
the ground state goes from a paramagnetic metal to a charge-ordered insulator
(at x=1/2) to a `Curie-Weiss metal' (around 0.70), and finally to a weak-moment
magnetically ordered state (x>0.75). The unusual properties of the state at 1/2
(including particle-hole symmetry at low T and enhanced thermal conductivity)
are described. The strong coupling between the Na ions and the holes is
emphasized.Comment: 4 pages with 3 figures, changed conten
Competitive market for multiple firms and economic crisis
The origin of economic crises is a key problem for economics. We present a
model of long-run competitive markets to show that the multiplicity of
behaviors in an economic system, over a long time scale, emerge as statistical
regularities (perfectly competitive markets obey Bose-Einstein statistics and
purely monopolistic-competitive markets obey Boltzmann statistics) and that how
interaction among firms influences the evolutionary of competitive markets. It
has been widely accepted that perfect competition is most efficient. Our study
shows that the perfectly competitive system, as an extreme case of competitive
markets, is most efficient but not stable, and gives rise to economic crises as
society reaches full employment. In the economic crisis revealed by our model,
many firms condense (collapse) into the lowest supply level (zero supply,
namely bankruptcy status), in analogy to Bose-Einstein condensation. This
curious phenomenon arises because perfect competition (homogeneous
competitions) equals symmetric (indistinguishable) investment direction, a fact
abhorred by nature. Therefore, we urge the promotion of monopolistic
competition (heterogeneous competitions) rather than perfect competition. To
provide early warning of economic crises, we introduce a resolving index of
investment, which approaches zero in the run-up to an economic crisis. On the
other hand, our model discloses, as a profound conclusion, that the
technological level for a long-run social or economic system is proportional to
the freedom (disorder) of this system; in other words, technology equals the
entropy of system. As an application of this new concept, we give a possible
answer to the Needham question: "Why was it that despite the immense
achievements of traditional China it had been in Europe and not in China that
the scientific and industrial revolutions occurred?"Comment: 17 pages; 3 figure
Four-quark state in QCD
The spectra of some 0++ four-quark states, which are composed of \bar qq
pairs, are calculated in QCD. The light four-quark states are calculated using
the traditional sum rules while four-quark states containing one heavy quark
are computed in HQET. For constructing the interpolating currents, different
couplings of the color and spin inside the \bar qq pair are taken into account.
It is found that the spin and color combination has little effect on the mass
of the four-quark states.Comment: 10 pages, 4 ps figures, Late
DC-conductivity of a suspension of insulating particles with internal rotation
We analyse the consequences of Quincke rotation on the conductivity of a
suspension. Quincke rotation refers to the spontaneous rotation of insulating
particles dispersed in a slightly conducting liquid and subject to a high DC
electric field: above a critical field, each particle rotates continuously
around itself with an axis pointing in any direction perpendicular to the DC
field. When the suspension is subject to an electric field lower than the
threshold one, the presence of insulating particles in the host liquid
decreases the bulk conductivity since the particles form obstacles to ion
migration. But for electric fields higher than the critical one, the particles
rotate and facilitate ion migration: the effective conductivity of the
suspension is increased. We provide a theoretical analysis of the impact of
Quincke rotation on the apparent conductivity of a suspension and we present
experimental results obtained with a suspension of PMMA particles dispersed in
weakly conducting liquids
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