Sentences with phrase «dimensional equilibrium state»

Not exact matches

For simplicity, assume all solar heating at the surface (so that the lapse rate is (1 - dimensional climate model, radiative convective equilibrium) positive or approaching zero but never negative) unless otherwise stated:

The model output is evidence of the result of the many processes working together, much as the Pythagorean theorem provides evidence about the hypoteneuses of a large set imperfectly studied right triangles; or long term simulations of the planetary movements based on Newton's laws provide evidence that the orbits are chaotic rather than periodic; or simulations provide evidence that high - dimensional nonlinear dissipative systems are never in equilibrium or steady state even with constant input.

Mathematically, we are assuming that the changes are sufficiently small that we can linearize the budget about the equilibrium state (as we did explicitly in our previous analysis of the zero - dimensional EBM).

Problem # 2: Was the climate system in a sufficiently equilibrated state during the LGM (or in any prior glacial or interglacial period) to define the four - dimensional equilibrium manifold uniquely?