Estimating metastable thermodynamic properties by isochoric extrapolation from stable states.

The description of metastable fluids, those in local but not global equilibrium, remains an important problem of thermodynamics, and it is crucial for many industrial applications and all first order phase transitions. One way to estimate their properties is by extrapolation from nearby stable states. This is often done isothermally, in terms of a virial expansion for gases or a Taylor expansion in density for liquids.

A longitudinal intervention study of the effects of increasing amount of meaningful writing across grades 1 and 2.

The current study examined the effectiveness of a approach with young developing writers in Norway. This method is based on the premise that writing competence is acquired naturally through real use in meaningful contexts. Our longitudinal randomized control trial study tested this proposition by examining if increasing first grade students' opportunities to write in various genres for different purposes and for a range of audiences over a two-year time period improved the quality of their writing, handwriting fluency, and attitude towards writing.

Free energy of critical droplets-from the binodal to the spinodal.

Arguably, the main challenge of nucleation theory is to accurately evaluate the work of formation of a critical embryo in the new phase, which governs the nucleation rate. In Classical Nucleation Theory (CNT), this work of formation is estimated using the capillarity approximation, which relies on the value of the planar surface tension. This approximation has been blamed for the large discrepancies between predictions from CNT and experiments.

Equation of state for confined fluids.

Fluids confined in small volumes behave differently than fluids in bulk systems. For bulk systems, a compact summary of the system's thermodynamic properties is provided by equations of state. However, there is currently a lack of successful methods to predict the thermodynamic properties of confined fluids by use of equations of state, since their thermodynamic state depends on additional parameters introduced by the enclosing surface.

Perturbation theories for fluids with short-ranged attractive forces: A case study of the Lennard-Jones spline fluid.

It is generally not straightforward to apply molecular-thermodynamic theories to fluids with short-ranged attractive forces between their constituent molecules (or particles). This especially applies to perturbation theories, which, for short-ranged attractive fluids, typically must be extended to high order or may not converge at all. Here, we show that a recent first-order perturbation theory, the uv-theory, holds promise for describing such fluids.