An improved single-plaquette gauge action

We describe and test a nonperturbatively improved single-plaquette lattice action for 4-d SU(2) and SU(3) pure gauge theory, which suppresses large fluctuations of the plaquette, without requiring the naive continuum limit for smooth fields. We tune the action parameters based on torelon masses in moderate cubic physical volumes, and investigate the size of cut-off effects in other physical quantities, including torelon masses in asymmetric spatial volumes, the static quark potential, and gradient flow observables. In 2-d O(N) models similarly constructed nearest-neighbor actions have led to a drastic reduction of cut-off effects, down to the permille level, in a wide variety of physical quantities. In the gauge theories, we find significant reduction of lattice artifacts, and for some observables, the coarsest lattice result is very close to the continuum value. We estimate an improvement factor of 40 compared to using the Wilson gauge action to achieve the same statistical accuracy and suppression of cut-off effects.

Finite volume effects in chiral perturbation theory with twisted boundary conditions

We study the effects of a finite cubic volume with twisted boundary conditions on pseudoscalar mesons. We apply Chiral Perturbation Theory in the p-regime and introduce the twist by means of a constant vector field. The corrections of masses, decay constants, pseudoscalar coupling constants and form factors are calculated at next-to-leading order. We detail the derivations and compare with results available in the literature. In some case there is disagreement due to a different treatment of new extra terms generated from the breaking of the cubic invariance. We advocate to treat such terms as renormalization terms of the twisting angles and reabsorb them in the on-shell conditions. We confirm that the corrections of masses, decay constants, pseudoscalar coupling constants are related by means of chiral Ward identities. Furthermore, we show that the matrix elements of the scalar (resp. vector) form factor satisfies the Feynman–Hellman Theorem (resp. the Ward–Takahashi identity). To show the Ward–Takahashi identity we construct an effective field theory for charged pions which is invariant under electromagnetic gauge transformations and which reproduces the results obtained with Chiral Perturbation Theory at a vanishing momentum transfer. This generalizes considerations previously published for periodic boundary conditions to twisted boundary conditions. Another method to estimate the corrections in finite volume are asymptotic formulae. Asymptotic formulae were introduced by Lüscher and relate the corrections of a given physical quantity to an integral of a specific amplitude, evaluated in infinite volume. Here, we revise the original derivation of Lüscher and generalize it to finite volume with twisted boundary conditions. In some cases, the derivation involves complications due to extra terms generated from the breaking of the cubic invariance. We isolate such terms and treat them as renormalization terms just as done before. In that way, we derive asymptotic formulae for masses, decay constants, pseudoscalar coupling constants and scalar form factors. At the same time, we derive also asymptotic formulae for renormalization terms. We apply all these formulae in combination with Chiral Perturbation Theory and estimate the corrections beyond next-to-leading order. We show that asymptotic formulae for masses, decay constants, pseudoscalar coupling constants are related by means of chiral Ward identities. A similar relation connects in an independent way asymptotic formulae for renormalization terms. We check these relations for charged pions through a direct calculation. To conclude, a numerical analysis quantifies the importance of finite volume corrections at next-to-leading order and beyond. We perform a generic Analysis and illustrate two possible applications to real simulations.

Physical-Biological Oceanographic Coupling Influencing Phytoplankton and Primary Production in the South China Sea

Two cruises were carried out in the summer and winter of 1998 to study coupled physical-chemical-biological processes in the South China Sea and their effects on phytoplankton stock and production. The results clearly show that the seasonal distributions of phytoplankton were closely related to the coupled processes driven by the East Asian Monsoon. Summer southwesterly monsoon induced upwelling along the China and Vietnam coasts. Several mesoscale cyclonic cold eddies and anticyclonic warm pools were identified in both seasons. In the summer, the upwelling and cold eddies, both associated with rich nutrients, low dissolved oxygen ( DO), high chlorophyll a (Chl a) and primary production ( PP), were found in the areas off the coast of central Vietnam, southeast of Hainan Island and north of the Sunda shelf, whereas in the winter they form a cold trough over the deep basin aligning from southwest to northeast. The warm pools with poor nutrients, high DO, low Chl a, and PP were found in the areas southeast of Vietnam, east of Hainan, and west of Luzon during the summer, and a northwestward warm jet from the Sulu Sea with properties similar to the warm pools was encountered during the winter. The phytoplankton stock and primary production were lower in summer due to nutrient depletion near the surface, particularly PO4. This phosphorus depletion resulted in phytoplankton species succession from diatoms to dinoflagellates and cyanophytes. A strong subsurface Chl a maximum, dominated by photosynthetic picoplankton, was found to contribute significantly to phytoplankton stocks and production.

The Impact of Thermal Coupling on Catalyst Behavior in Wall-Coated Heat-Exchanger Microreactors

This thesis presents a numerical study of reaction and diffusion phenomena in wall-coated heat-exchanger microreactors. Specifically, the interactions between an endothermic and exothermic catalyst layer separated by an impermeable wall is studied to understand the inherent behavior of the system. Two modeling approaches are presented, the first under the assumption of a constant thermal gradient and neglecting heat of reaction and the second considering both catalyst layers and reaction heat. Both studies found that thicker, more thermally insulating catalyst layers increase the effectiveness of the exothermic reaction by allowing for accumulation of reaction heat while thinner catalyst layers for the endothermic catalyst allow for direct access of the reactant to higher wall temperatures.

Molecular mechanisms of prostacyclin receptor signaling: The intracellular domains in G protein coupling

To better understand the mechanisms of how the human prostacyclin receptor (1P) mediates vasodilation and platelet anti-aggregation through Gs protein coupling, a strategy integrating multiple approaches including high resolution NMR experiments, synthetic peptide, fluorescence spectroscopy, molecular modeling, and recombinant protein was developed and used to characterize the structure/function relationship of important segments and residues of the IP receptor and the α-subunit of the Gs protein (Gαs). The first (iLP1) and third (iLP3) intracellular loops of the IP receptor, as well as the Gαs C-terminal domain, relevant to the Gs-mediated IP receptor signaling, were first identified by observation of the effects of the mini gene-expressed corresponding protein segments in HEK293 cells which co-expressed the receptor and Gαs. Evidence of the IP iLP1 domain interacted with the Gαs C-terminal domain was observed by fluorescence and NMR spectroscopic studies using a constrained synthetic peptide, which mimicked the IP iLP1 domain, and the synthetic peptide, which mimicked Gαs C-terminal domain. The solution structural models and the peptide-peptide interaction of the two synthetic protein segments were determined by high resolution NMR spectroscopy. The important residues in the corresponding domains of the IP receptor and the Gαs predicted by NMR chemical shift mapping were used to guide the identification of their protein-protein interaction in cells. A profile of the residues Arg42 - Ala48 of the IP iLP1 domain and the three residues Glu392 ∼ Leu394 of the Gαs C-terminal domain involved in the IP/Gs protein coupling were confirmed by recombinant proteins. The data revealed an intriguing speculation on the mechanisms of how the signal of the ligand-activated IP receptor is transmitted to the Gs protein in regulating vascular functions and homeostasis, and also provided substantial insights into other prostanoid receptor signaling. ^

Strain-gauge, brushless torque meter

A torque meter comprising hollow-keyed, input and output female shafts adapted to receive the male shafts of the power source and machine respectively. Each shaft has a circular flange whose face is perpendicular to the center line of the shafts. Each flange has a plurality of equally spaced cylindrical recesses machined into the inside face thereto adapted to receive conical inserts therein. Balls are contained by the conical inserts and transmit the rotational movement from the input to the output shaft. A stationary housing extends around the input and output shaft and has a transducer shell secured thereto. When force is applied to the input shaft to cause movement, the balls encounter torsional resistance which causes the balls to roll up the ramps of the conical seat inserts to separate the two torque flanges. The force transmitted through the balls causes rotation to the output shaft and produces tension to the stationary transducer shell. The stationary transducer shell is instrumented with semi-conductor strain gauges.