R and D evaluation of a lightweight, high strength magnesium alloy Quarterly report, 1 Nov. 1967 - 1 Feb. 1968

High strength properties of magnesium-scandium alloys with selected additive

R and D evaluation of a lightweight, high strength magnesium alloy Quarterly report, 1 May - 1 Aug. 1969

Lightweight, high strength magnesium alloy development with magnesium-scandium-lithium selectio

R and D and evaluation of a lightweight, high strength magnesium alloy Quarterly report, 1 Feb. - 1 May 1969

Light weight high strength magnesium scandium allo

Formulating Viscous Hydrodynamics for Large Velocity Gradients

Viscous corrections to relativistic hydrodynamics, which are usually formulated for small velocity g radients, have recently been extended from Navier-Stokes formulations to a class of treatments based on Israel-Stewart equations. Israel-Stewart treatments, which treat the spatial components of the s tress-energy tensor tau_ij as dynamical objects, introduce new parameters, such as the relaxati on times describing non-equilibrium behavior of the elements tau_ij. By considering linear resp onse theory and entropy constraints, we show how the additional parameters are related to fluctuatio ns of tau_ij. Furthermore, the Israel-Stewart parameters are analyzed for their ability to prov ide stable and physical solutions for sound waves. Finally, it is shown how these parameters, which are naturally described by correlation functions in real time, might be constrained by lattice calcu lations, which are based on path-integral formulations in imaginary time.Comment: 16 page

Ground-states of spin-1 bosons in asymmetric double-wells

In this work we investigate the different states of a system of spin-1 bosons in two potential wells connected by tunneling, with spin-dependent interaction. The model utilizes the well-known Bose-Hubbard Hamiltonian, adding a local interaction term that depends on the modulus of the total spin in a well, favoring a high- or low-spin state for different signs of the coupling constant. We employ the concept of fidelity to detect critical values of parameters for which the ground state undergoes significant changes. The nature of the states is investigated through evaluation of average occupation numbers in the wells and of spin correlations. A more detailed analysis is done for a two-particle system, but a discussion of the three-particle case and some results for larger numbers are also presented.Comment: 7 pages, 10 figure

Earthy bride

There are nearly 2.5 million couples getting married in the United States each year (Harrison, 2008, pg. xi). That breaks down to more than 6,300 weddings in a single day. The average wedding in the United States “produces 63 tones of CO2 and 400-600 pounds of trash” and therefore, newlyweds are creating over 3,500,000 pounds of trash in a single at their weddings (Harrison, 2009, ¶ 2)! The green movement is on the rise and wedding industry needs to implement it to meet new demands. In order to do people need to be informed of the importance, benefits and savings of adopting a green wedding and implementing it into their lives. Earthy Bride is an eco-friendly resource online available committed to keeping the most up-to-date, useful tools available for those planning practical, stylish, eco-friendly weddings—and happily-ever-after too

Bethe ansatz solution of the anisotropic correlated electron model associated with the Temperley-Lieb algebra

A recently proposed strongly correlated electron system associated with the Temperley-Lieb algebra is solved by means of the coordinate Bethe ansatz for periodic and closed boundary conditions.Comment: 21 page

Heisenberg spin chains based on sl(2|1) symmetry

We find solutions of the Yang-Baxter equation acting on tensor product of arbitrary representations of the superalgebra sl(2|1). Based on these solutions we construct the local Hamiltonians for integrable homogeneous periodic chains and open chains.Comment: 28 pages LATE

Realizing time crystals in discrete quantum few-body systems

The exotic phenomenon of time translation symmetry breaking under periodic driving - the time crystal - has been shown to occur in many-body systems even in clean setups where disorder is absent. In this work, we propose the realization of time-crystals in few-body systems, both in the context of trapped cold atoms with strong interactions and of a circuit of superconducting qubits. We show how these two models can be treated in a fairly similar way by adopting an effective spin chain description, to which we apply a simple driving protocol. We focus on the response of the magnetization in the presence of imperfect pulses and interactions, and show how the results can be interpreted, in the cold atomic case, in the context of experiments with trapped bosons and fermions. Furthermore, we provide a set of realistic parameters for the implementation of the superconducting circuit.Comment: 6 pages, 4 figure

Universal R-matrix as integral operator

We derive the integral operator form for the general rational solution of the Yang-Baxter equation with $s\ell(2|1)$ symmetry. Considering the defining relations for the kernel of the R-operator as a system of second order differential equations we observe remarkable reduction to a system of simple first order equations. The obtained kernel of R-operator has a very simple structure. To illustrate all this in the simplest situation we treat also the $s\ell(2)$ case.Comment: 26 pages LaTe