I analyze two connections between neoclassical and classical economics. First, I consider the indeterminacy that arises for both schools: in the neoclassical theories of overlapping generations and of factor pricing and in Sraffa’s price theory. Neoclassical indeterminacy occurs only in environments where relative prices can change through time; otherwise, determinacy obtains. Although these re...

The notes derive the salient features of optimal control theory for an infinite horizon objective function. For concreteness, the necessary and sufficient conditions are derived with reference to the neoclassical model of growth. However, the ideas easily extend to other economic problems. The need for the exercise arises from the lack of a single source which students can access for a developm...

Experiments and theory characterize the novel chaotic neoclassical transport scaling as νcB in contrast to traditional collisional neoclassical transport scaling as ν 1/2 c B−1/2. This chaotic transport occurs when local trapping separatrices have θ-variations or temporal fluctuations. Experiments observe bulk particle transport, damping of Langmuir waves and diocotron waves, and nonlinear wave...

Recent advances in tokamak physics can be used in the quest to optimize the stellarator concept. In particular the experimental confirmation of strong bootstrap currents suggests the possibility of taking advantage of non-zero current in steady-state stellarators. In addition the observation of neoclassical islands suggests important issues for design optimization, in order to operate in a regi...