A 50-megawatt arc heater: scaling parameters and performance prediction

"Project No. 1426, Task No. 142612."

Nonequilibrium scaling criterion for inviscid hypersonic airflows,

"Contract no. DA-30-069-ORD-3443. ARPA order no. 253-62."

National forest scaling handbook.

Mode of access: Internet.

An isotopic analysis of geothermal brine and calcite scaling from the Blue Mountain geothermal field, Winnemucca, Nevada

Understanding, and controlling, the conditions under which calcite precipitates within geothermal energy production systems is a key step in maintaining production efficiency. In this study, I apply methods of bulk and clumped isotope thermometry to an operating geothermal energy facility in northern Nevada to see how those methods can better inform the facility owner, AltaRock Energy, Inc., about the occurrence of calcite scale in their power plant. I have taken water samples from five production wells, the combined generator effluent, shallow cold-water wells, monitoring wells, and surface water. I also collected calcite scale samples from within the production system. Water samples were analyzed for stable oxygen isotope composition (d18O). Calcite samples were analyzed for stable oxygen and carbon (d13C) composition, and clumped isotope composition (D47). With two exceptions, the water compositions are very similar, likely indicating common origin and a well-mixed hydrothermal system. The calcite samples are likewise similar to one another. Apparent temperatures calculated from d18O values of water and calcite are lower than those recorded for the system. Apparent temperatures calculated from D47 are several degrees higher than the recorded well temperatures. The lower temperatures from the bulk isotope data are consistent with temperatures that could be expected during a de-pressurization of the production system, which would cause boiling in the pipes, a reduction in system temperature, and rapid precipitation of calcite scale. However, the high apparent temperature indicated by the D47 data suggests that the calcite is depleted in clumped isotopes given the known temperature of the system, which is inconsistent with this hypothesis. This depletion could instead result from disequilibrium isotopic fractionation during the aforementioned boil events, which would make both the apparent d18O-based and D47-based temperatures unrepresentative of the actual water temperature. This research can help improve our understanding of how isotopic analyses can better inform us about the movement of water through geothermal systems of the past and how it now moves through modern systems. Increased understanding of water movement in these systems could potentially allow for more efficient utilization of geothermal energy as a renewable resource.

Scaling of decoherence effects in quantum computers

The scaling of decoherence rates with qubit number N is studied for a simple model of a quantum computer in the situation where N is large. The two state qubits are localized around well-separated positions via trapping potentials and vibrational centre of mass motion of the qubits occurs. Coherent one and two qubit gating processes are controlled by external classical fields and facilitated by a cavity mode ancilla. Decoherence due to qubit coupling to a bath of spontaneous modes, cavity decay modes and to the vibrational modes is treated. A non-Markovian treatment of the short time behaviour of the fidelity is presented, and expressions for the characteristic decoherence time scales obtained for the case where the qubit/cavity mode ancilla is in a pure state and the baths are in thermal states. Specific results are given for the case where the cavity mode is in the vacuum state and gating processes are absent and the qubits are in (a) the Hadamard state (b) the GHZ state.

Dynamical properties of a strongly correlated model for quarter-filled layered organic molecular crystals

The dynamical properties of an extended Hubbard model, which is relevant to quarter-filled layered organic molecular crystals, are analyzed. We have computed the dynamical charge correlation function, spectral density, and optical conductivity using Lanczos diagonalization and large-N techniques. As the ratio of the nearest-neighbor Coulomb repulsion, V, to the hopping integral, t, increases there is a transition from a metallic phase to a charge-ordered phase. Dynamical properties close to the ordering transition are found to differ from the ones expected in a conventional metal. Large-N calculations display an enhancement of spectral weight at low frequencies as the system is driven closer to the charge-ordering transition in agreement with Lanczos calculations. As V is increased the charge correlation function displays a collective mode which, for wave vectors close to (pi,pi), increases in amplitude and softens as the charge-ordering transition is approached. We propose that inelastic x-ray scattering be used to detect this mode. Large-N calculations predict superconductivity with d(xy) symmetry close to the ordering transition. We find that this is consistent with Lanczos diagonalization calculations, on lattices of 20 sites, which find that the binding energy of two holes becomes negative close to the charge-ordering transition.

Scaling of rectal gland mass in the European lesser-spotted dogfish

In the European lesser-spotted dogfish Scyliorhinus canicula, rectal gland mass in mg (M-Rg) followed the allometric relationship: M-Rg = 1.15 M-0.68, where M is body mass (g). The concept of allometric scaling is an important consideration in studies investigating the function Of osmoregulatory organs. (C) 2003 the Fisheries Society of the British Isles.

Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate

0We study the exact solution for a two-mode model describing coherent coupling between atomic and molecular Bose-Einstein condensates (BEC), in the context of the Bethe ansatz. By combining an asymptotic and numerical analysis, we identify the scaling behaviour of the model and determine the zero temperature expectation value for the coherence and average atomic occupation. The threshold coupling for production of the molecular BEC is identified as the point at which the energy gap is minimum. Our numerical results indicate a parity effect for the energy gap between ground and first excited state depending on whether the total atomic number is odd or even. The numerical calculations for the quantum dynamics reveals a smooth transition from the atomic to the molecular BEC.

Full S matrix calculation via a single real-symmetric Lanczos recursion: The Lanczos artificial boundary inhomogeneity method

We present an efficient and robust method for the calculation of all S matrix elements (elastic, inelastic, and reactive) over an arbitrary energy range from a single real-symmetric Lanczos recursion. Our new method transforms the fundamental equations associated with Light's artificial boundary inhomogeneity approach [J. Chem. Phys. 102, 3262 (1995)] from the primary representation (original grid or basis representation of the Hamiltonian or its function) into a single tridiagonal Lanczos representation, thereby affording an iterative version of the original algorithm with greatly superior scaling properties. The method has important advantages over existing iterative quantum dynamical scattering methods: (a) the numerically intensive matrix propagation proceeds with real symmetric algebra, which is inherently more stable than its complex symmetric counterpart; (b) no complex absorbing potential or real damping operator is required, saving much of the exterior grid space which is commonly needed to support these operators and also removing the associated parameter dependence. Test calculations are presented for the collinear H+H-2 reaction, revealing excellent performance characteristics. (C) 2004 American Institute of Physics.

Recent developments in the quantum dynamical characterization of unimolecular resonances

We give a selective review of quantum mechanical methods for calculating and characterizing resonances in small molecular systems, with an emphasis on recent progress in Chebyshev and Lanczos iterative methods. Two archetypal molecular systems are discussed: isolated resonances in HCO, which exhibit regular mode and state specificity, and overlapping resonances in strongly bound HO2, which exhibit irregular and chaotic behavior. Recent progresses for non-zero total angular momentum J calculations of resonances including parallel computing models are also included and future directions in this field are discussed.

Scaling of multiple postselected quantum gates in optics

We show that interesting multigate circuits can be constructed using a postselected controlled-sign gate that works with a probability (1/3)(n), where n-1 is the number of controlled-sign gates in the circuit, rather than (1/9)(n-1), as would be expected from a sequence of such gates. We suggest some quantum information tasks which could be demonstrated using these circuits, such as parity checking and cluster-state computation.