In a new dissipative structure (either a steady state or a limit cycle), concentrations of chemicals and rates of mass - transfer between the system and surroundings will not be those characteristic of
the previous equilibrium state (or the nonequilibrium steady state that corresponds to it under conditions of instability) but rather they will be the (perhaps quite different) average values which pertain to the new structure.
Not exact matches
My own take on it is that the chaotic behavior can lead to a variety of different
states, but that these are ultimately unstable and will eventually tend to return toward the
previous equilibrium.
The direction of convection (which includes diffusion and advection) when there has been previously a
state of thermodynamic
equilibrium (with its associated temperature gradient formed by gravity) is always in all accessible directions away from any source of new thermal energy which has disturbed the
previous state of thermodynamic
equilibrium.
Previous reviews (6 ⇓ ⇓ ⇓ — 10) have defined «abrupt climate change» as occurring «when the climate system is forced to cross some threshold, triggering a transition to a new
state at a rate determined by the climate system itself and faster than the cause» (8), which is a case of bifurcation (i.e., one that focuses on
equilibrium properties, implying some degree of irreversibility).
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).