The Antoine equation is a semi-empirical equation which expresses vapour pressure as a function of temperature. A new, rapid and highly accurate method for obtaining its three constants from experimental data is presented and applied to ethanol, water and 14 anaesthetic substances. Alternative vapour pressure equations are discussed and references for original temperature--vapour pressure data ...

A survey of topics of recent interest in Hamiltonian and Lagrangian dynamical systems, including accessible discussions of regularization of the central force problem; inequivalent Lagrangians and Hamiltonians; constants of central force motion; a general discussion of higher-order Lagrangians and Hamiltonians with examples from Bohmian quantum mechanics, the Korteweg-de Vries equation and the ...

to describe the change of the excitatory process of nerve, p, under the action of a current I. K and k are constants, and action results when p exceeds some threshold value h. The equation fits extensive experimental data but is quite unable to account for the anodic excitation at break and for non-excitation by slowly rising currents. Rashevsky (1933) added a parallel equation for an inhibitor...

Let Zt be a one-dimensional symmetric stable process of order α with α ∈ (0, 2) and consider the stochastic differential equation dXt = φ(Xt−)dZt. For β < 1 α ∧ 1, we show there exists a function φ that is bounded above and below by positive constants and which is Hölder continuous of order β but for which pathwise uniqueness of the stochastic differential equation does not hold. This result is...

In this work, we study the one-dimensional stabilized Kuramoto Sivashinsky equation with additive uncorrelated stochastic noise. The Eckhaus stable band of the deterministic equation collapses to a narrow region near the center of the band. This is consistent with the behavior of the phase diffusion constants of these states. Some connections to the phenomenon of state selection in driven out o...

We have calculated the equation of state and elastic properties of face-centered cubic Fe and Fe-rich FeMg alloy at ultrahigh pressures from first principles using the Exact Muffin-Tin Orbitals method. The results show that adding Mg into Fe influences strongly the equation of state, and cause a large degree of softening of the elastic constants, even at concentrations as small as 1-2 at. %. Mo...

By means of the modified CK’s direct method, we give out the relationship between variable coefficients of the fifth-order KdV equation and the corresponding constant coefficient ones. At the same time, we have studied the generalized fifth-order KdV equation with constants coefficients using the Lie symmetry group methods. By applying the nonclassical symmetry method we found that the analyzed...

Seed Science and Technology storage environment, the implications for seed ageing quality, including likely seedling emergence. Developments in science, anhydrous biology more widely, associated with that well-cited paper are summarised here.

In-lake alkalinity generation (IAG) is important in regulation of alkalinity in lakes with long residence times, particularly seepage lakes. An IAG model based on input/output modeling concepts i presented that describes budgets for each ion involved in alkalinity regulation by a single differential equation that includes inputs, outputs, and a first-order sink term. These equations are linked ...

The purpose of this study was to predict the stability of octreotide in a mixed infusion containing sodium bisulfite (SBS). In aqueous solution the hydrolysis of octreotide was found to be accelerated by pH, and by increasing concentrations of SBS. Equations for the degradation rate constants (kobs) of pH and SBS were derived. The fractional rate constants were estimated by the nonlinear least-...