We study the rate of convergence for the largest eigenvalue distributions in the Gaussian unitary and orthogonal ensembles to their Tracy-Widom limits. We show that one can achieve an O(N-2/3) rate with particular choices of the centering and scaling constants. The arguments here also shed light on more complicated cases of Laguerre and Jacobi ensembles, in both unitary and orthogonal versions....

Renormalization constants of vector (ZV ) and axial-vector (ZA) currents are determined non-perturbatively in quenched QCD for an RG-improved gauge action and a tadpole-improved clover quark action using the Schrödinger functional method. Meson decay constants fρ and fπ show much better scaling when ZV and ZA estimated for infinite physical volume are used instead of Z-factors from tadpole-impr...

This talk summarizes results for all the scale independent renormalization constants for bilinear currents (ZA, ZV , and ZS/ZP ), the improvement constants (cA, cV , and cT ), the quark mass dependence of ZO , and the coefficients of the equation of motion operators for O(a) improved lattice QCD. Using data at β = 6.0, 6.2 and 6.4 we study the scaling behavior of these quantities and quantify r...

Understanding the response of biomass allocation in twigs (the terminal branches of current-year shoots) to environmental change is crucial for elucidating forest ecosystem carbon storage, carbon cycling, and plant life history strategies under a changing climate. On the basis of interspecies investigations of broad-leaved plants, previous studies have demonstrated that plants respond to enviro...

Results are presented from an experimental study that compares the large-scale structure, mean velocities, and scaling properties of confined, supersonic, planar, turbulent, bluff-body wakes at M∞ ≈ 2 and 3 with corresponding results from incompressible wakes. The large-scale structure of incompressible planar turbulent wakes is recovered at downstream locations x where the local relative Mach ...

An enhanced version of the X (omega1) half-filtered TOCSY experiment for measurement of long-range heteronuclear coupling constants is proposed which yields high-quality spectra with substantially increased sensitivity and resolution. The modified method features gradient-enhanced X filtering sequences, broadband homonuclear decoupling during t1, optional 1JXH scaling in the F1 domain, and grad...

in this work an analytical equation of state has been employed to calculate the pvt properties ofternary refrigerant mixtures. the theoretical eos is that of ihm, song and mason, which is based onstatistical-mechanical perturbation theory, and the two constants are enthalpy of vaporization δhvapand molar density ρnb, both at the normal boiling temperature. the following three temperaturedepende...

In quark modelsà la Bakamjian and Thomas, that yield covariance and Isgur-Wise scaling of form factors in the heavy quark limit, we compute the decay constants f (n) and f (n) 1/2 of S-wave and P-wave mesons composed of heavy and light quarks. Heavy quark limit scaling √ M f = Cst. is obtained, and it is shown that this class of models satisfies the sum rules involving decay constants and Isgur...