Platonic Perfectionism in John Williams’ Stoner

Quantum Stoner-Wohlfarth Model.

The quantum mechanical counterpart of the famous Stoner-Wohlfarth model-an easy-axis magnet in a tilted magnetic field-is studied theoretically and through simulations as a function of the spin size S in a sweeping longitudinal field. Beyond the classical Stoner-Wohlfarth transition, the sweeping field-induced adiabatic change of states slows down as S increases, leading to a dynamical quantum ...

Platonic Surfaces

If SO is a Riemann surface with a complete metric of finite area and constant curvature −1, let SC denote the conformal compactification of SO. We show that, under the assumption that the cusps of SO are large, there is a close relationship between the hyperbolic metrics on SO and SC . We use this relationship to show that lim infk→∞ λ1(Pk) ≥ 5/36, where the Platonic surface Pk is the conformal...

Platonic Dynamics

We develop a rigorous theory of observation for dynamical systems in Hilbert spaces. This work generalizes the results of Ott and Yorke [8] for dynamical systems in Rn.

Irony in the Platonic Dialogues

Stoner and Hanson - Swelling in Corn Atitochondria

Sunhinary. A survey has been ii)ade of the p)rol)erties of cori wlitoc(hon(rlia in .swelling and contraction. The mitochoni(lria swell spontalneouisly in KCl but not in sucrose. Aged mitochondria will swell rapidly in sucrose if treate(l Nvith citrate or ED'FA. Swelling does not impair oxidative phosphorylation if bovine ser-niiii albumin is p)resellt. Contraction can be maintained or initiated...