We study the origin of the scaling behavior in frictionless granular media above the jamming transition by analyzing their linear response. The response to local forcing is non-self-averaging and fluctuates over a length scale that diverges at the jamming transition. The response to global forcing becomes increasingly nonaffine near the jamming transition. This is due to the proximity of floppy...

We report on the scaling of basic hadronic observables in lattice QCD with N f = 2 maximally twisted Wilson dynamical quarks. We give preliminary results for some of the Gasser–Leutwyler low energy constants, the chiral condensate and the average mass of u and d quarks.

Previously, we reported a reliable DU8 method for natural bond orbital (NBO)-aided parametric scaling of Fermi contacts to achieve fast and accurate prediction of proton-proton spin-spin coupling constants (SSCC) in (1)H NMR. As sophisticated NMR experiments for precise measurements of carbon-proton SSCCs are becoming more user-friendly and broadly utilized by the organic chemistry community to...

The empirical rules relating metabolic rate and body size are described in terms of (i) a scaling exponent, which refers to the ratio of the fractional change in metabolic rate to a change in body size, (ii) a proportionality constant, which describes the rate of energy expenditure in an organism of unit mass. This article integrates the chemiosmotic theory of energy transduction with the metho...

Force-induced deformations of a self-avoiding chain confined inside a cylindrical cavity, with diameter D, are probed using molecular dynamics simulations, scaling analysis, and analytical calculations. We obtain and confirm a simple scaling relation -fD approximately R(-9/4) in the strong-compression regime, while for weak deformations, we find fD = -A(R/R0) + B(R/R0)(-2), where A and B are co...

Electronic spectra of the aP–XR (0–0) and (1–0) bands of CO, and the (1–0) band of CO are measured by cavity ring-down spectroscopy in the 200 nm region. The experimental spectra are analyzed using the molecular constants predicted by mass-scaling relations. It is found that the mass-scaling rules for the aP state can be used to predict the transition frequencies from v = 0, J < 8 in CO to v = ...

an analytical equation of state (eos) developed by ihm-song-mason (ism) has been applied tocalculate some thermophysical properties of molten polymers including poly (1-octene) (po), poly (vinylmethyl ether) (pvme), poly (vinyl chloride) (pvc), and poly (styrene) (ps). three temperature-dependentparameters of the ism eos have been determined based on the alternative scaling constants, dispersiv...

We consider a family of of Feigenbaum-like equations φ(y) = 1 + ǫ λ φ(φ(λy))− ǫy + τ(y), (0.1) where ǫ is a real number and τ is analytic on some complex neighborhood of (−1, 1) and real-valued on R. We first give a motivation for studying functional equations of this kind. Specifically, we give a heuristic argument that, in a space of two-dimensional maps, the “universal” area-preserving map w...

A macroscopic cable equation, which describes the passive linear ("electrotonic") response of a myelinated axon, was previously derived from a segmented cable equation using Keller's two-space homogenization method [Basser, PJ, Med. and Biol. Comput., 1993, Vol. 31, pp. S87-S92]. Here we use the space and length constants of this averaged cable equation to predict classical scaling laws that go...

Kinetic rate constants for enzymatic reactions are typically measured with a series of experiments at different substrate concentrations in a well-mixed container. Here we demonstrate a microfluidic technique for measuring Michaelis-Menten rate constants with only a single experiment. Enzyme and substrate are brought together in a coflow microfluidic device, and we establish analytically and nu...