Stochastic Growth Theory
We are continuing to explore and extend the fundamentals and applications
of stochastic growth
theory, and to unify it with other theories of stochastic dynamics. This involves
re-examining and generalizing the basis of the theory, relaxing the underlying
assumptions, and deriving new predictions. The results are being verified against
spacecraft and other data, and against results from particle-in-cell and
quasilinear simulations. In an effort to strip the theory down to its most
fundamental form, new simplified models are being developed that retain the key
characteristics of SGT, but in a form that can be probed more deeply.
Hole, MJ, Robinson, PA, and Cairns, IH (2004). Statistics of Polarization
and Stokes Parameters of Stochastic Waves, Phys. Rev. E, 70, 036619.
Robinson, PA, Li, B, and Cairns, IH (2004). New regimes of stochastic wave growth,
Phys. Rev. Lett., 93, 235003.