Free Energy Differences in Nonequilibrium Thermodynamic Processes.

Systems which may be allowed to go out of equilibrium have been of interest recently. A quantity is formulated whose average over an ensemble of microscopic realizations of the process depends only on the initial and final states. This is so even though the system may not be in equilibrium during the process.

Falling charge in a gravitational field and radiation reaction.

The Lorentz-Dirac equation is formulated and studied in flat Minkowski spacetime. A concise, novel derivation of the equation is presented. The problem is then enlarged to study radiation damping of an electron moving through a gravitational field.

Motion on constant curvature spaces and quantization using Noether symmetries.

A general approach is presented for quantizing a metric nonlinear system on a manifold of constant curvature. It makes use of a curvature dependent procedure which relies on determining Noether symmetries from the metric. The curvature of the space functions as a constant parameter.

Organ and non-organ specific autoantibody titres and IgG levels as markers of disease activity: a longitudinal study in childhood autoimmune liver disease.

No longitudinal study has investigated whether autoantibody titres and serum IgG levels correlate with disease activity in autoimmune liver disease. To determine this, we investigated prospectively 19 patients on 254 occasions between 10 months to 5 years from diagnosis. Nine had anti-nuclear and/or anti-smooth muscle antibody (ANA/SMA) positive autoimmune hepatitis (type 1 AIH), 5 liver kidney microsomal type 1 (LKM-1) positive AIH (type 2 AIH) and 5 ANA/SMA positive autoimmune sclerosing cholangitis (ASC).