7,494 research outputs found
Ab initio prediction of equilibrium boron isotope fractionation between minerals and aqueous fluids at high P and T
Over the last decade experimental studies have shown a large B isotope
fractionation between materials carrying boron incorporated in trigonally and
tetrahedrally coordinated sites, but the mechanisms responsible for producing
the observed isotopic signatures are poorly known. In order to understand the
boron isotope fractionation processes and to obtain a better interpretation of
the experimental data and isotopic signatures observed in natural samples, we
use first principles calculations based on density functional theory in
conjunction with ab initio molecular dynamics and a new pseudofrequency
analysis method to investigate the B isotope fractionation between B-bearing
minerals (such as tourmaline and micas) and aqueous fluids containing H_3BO_3
and H_4BO_4- species. We confirm the experimental finding that the isotope
fractionation is mainly driven by the coordination of the fractionating boron
atoms and have found in addition that the strength of the produced isotopic
signature is strongly correlated with the B-O bond length. We also demonstrate
the ability of our computational scheme to predict the isotopic signatures of
fluids at extreme pressures by showing the consistency of computed
pressure-dependent beta factors with the measured pressure shifts of the B-O
vibrational frequencies of H_3BO_3 and H_4BO_4- in aqueous fluid. The
comparison of the predicted with measured fractionation factors between
boromuscovite and neutral fluid confirms the existence of the admixture of
tetrahedral boron species in neutral fluid at high P and T found
experimentally, which also explains the inconsistency between the various
measurements on the tourmaline-mica system reported in the literature. Our
investigation shows that the calculated equilibrium isotope fractionation
factors have an accuracy comparable to the experiments.Comment: 19 pages, 11 figures, Accepted for publication in Geochimica et
Cosmochimica Act
Majorana dimers and holographic quantum error-correcting codes
Holographic quantum error-correcting codes have been proposed as toy models that describe key aspects of the anti-de Sitter/conformal field theory (AdS/CFT) correspondence. In this work, we introduce a versatile framework of Majorana dimers capturing the intersection of stabilizer and Gaussian Majorana states. This picture allows for an efficient contraction with a simple diagrammatic interpretation and is amenable to analytical study of holographic quantum error-correcting codes. Equipped with this framework, we revisit the recently proposed hyperbolic pentagon code (HyPeC). Relating its logical code basis to Majorana dimers, we efficiently compute boundary-state properties even for the non-Gaussian case of generic logical input. The dimers characterizing these boundary states coincide with discrete bulk geodesics, leading to a geometric picture from which properties of entanglement, quantum error correction, and bulk/boundary operator mapping immediately follow. We also elaborate upon the emergence of the Ryu-Takayanagi formula from our model, which realizes many of the properties of the recent bit thread proposal. Our work thus elucidates the connection among bulk geometry, entanglement, and quantum error correction in AdS/CFT and lays the foundation for new models of holography
Significance of the Sm-Nd isotopic systematics of the Akilia Association
Samarium-Neodymium analyses were carried out on fourteen samples of basic to ultrabasic metavolcanics from several enclaves of the Amitsoq gneisses (T = to or approximately 3,700 Ma). Field observations suggest that all the analyzed rocks belong to the pre-Amitsoq Akilia Association. Consequently, a minimum age of 3,700 Ma is postulated for the emplacement of their protoliths. When all the data points are put together in a conventional isochron diagram, no clear isochron relationship can be discerned. However, the points seem to fall within a band broadly corresponding to an age of 3,600 Ma. The isotopic results are difficult to interpret satisfactorily. Two contrasting interpretations are offered and summarized: (1) data scatter as a result of open system behavior; and (2) data scatter due to a melange of data sets defining two distinct isochrons
Quasi-exact-solution of the Generalized Exe Jahn-Teller Hamiltonian
We consider the solution of a generalized Exe Jahn-Teller Hamiltonian in the
context of quasi-exactly solvable spectral problems. This Hamiltonian is
expressed in terms of the generators of the osp(2,2) Lie algebra. Analytical
expressions are obtained for eigenstates and eigenvalues. The solutions lead to
a number of earlier results discussed in the literature. However, our approach
renders a new understanding of ``exact isolated'' solutions
NNLO predictions for Z-boson pair production at the LHC
We present a calculation of the NNLO QCD corrections to Z-boson pair
production at hadron colliders, based on the N-jettiness method for the real
radiation parts. We discuss the size and shape of the perturbative corrections
along with their associated scale uncertainties and compare our results to
recent LHC data at TeV.Comment: 19 pages, 2 Tables, 4 figures. Version to appear in JHE
Corn Based Alternative to Plastic Media Blasting for Aerospace Application (Formerly Corn Based Blasting Media)
No abstract availabl
Symmetry breaking in the self-consistent Kohn-Sham equations
The Kohn-Sham (KS) equations determine, in a self-consistent way, the
particle density of an interacting fermion system at thermal equilibrium. We
consider a situation when the KS equations are known to have a unique solution
at high temperatures and this solution is a uniform particle density. We show
that, at zero temperature, there are stable solutions that are not uniform. We
provide the general principles behind this phenomenon, namely the conditions
when it can be observed and how to construct these non-uniform solutions. Two
concrete examples are provided, including fermions on the sphere which are
shown to crystallize in a structure that resembles the C molecule.Comment: a few typos eliminate
Center Vortices, Instantons, and Confinement
We study the relation between center vortices and instantons in lattice QCD.Comment: 3 pages, 1 color figure, LaTeX209 using BoxedEPS and esprc2.sty
(provided); talk presented by J.W. Negele to be published in Lattice99
(Topology); email to [email protected]
Numerical evaluation of two-loop integrals with pySecDec
We describe the program pySecDec, which factorises endpoint singularities
from multi-dimensional parameter integrals and can serve to calculate integrals
occurring in higher order perturbative calculations numerically. We focus on
the new features and on frequently asked questions about the usage of the
program.Comment: 11 pages, to appear in the proceedings of the HiggsTools Final
Meeting, IPPP, University of Durham, UK, September 201
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