EOS 260 Part II Flashcards
(510 cards)
steady state
dx/dt = 0
no change in position with time
stable or unstable
unstable steady state
unstable to a small perturbation- like on top of a hill
starting close to steady state system will diverge away
d2x/dt2>0
non-steady behaviour
transient
stable steady state
starting close to steady state system will converge to it
stable to a small perturbation
d2x/dt2<0
studying steady states
helps us understand the system
two stable steady states
must be separated by an unstable steady state
bistable system
chair, thermohaline circulation, geomagnetic reversals
can be resting in two states, states need not be symmetric with respect to stored energy
defining characteristic of bistability- 2 stable states (minima) are separated by a peak (maximum)
forcing
input to or control parameter affecting the system
will affect the state of the system
not affected itself by the state of the system
examples of forcing
solar forcing- sunlight earth receives
putting consecutively steeper ramps under a chair- force it to tip over
feedback
how the system will respond to a small perturbation or to a change in forcing
2 kinds
stabilizing feedback
negative feedback
diminishes effect of a perturbation, makes change smaller
pushes system back to stable steady state
Couplings
positive- change in A gives a change of same sign in B
shown by an arrow
negative- change in A gives a change of opposite sign in B
shown by line with dot
feedback loops
+1 to positive feeback
-1 to negative feedback
combined effect by multiplying them
most important gas absorbing insolation in atmosphere
H20 vapour
flux density units
W/m^2 = J / m^2 s
incoming solar radiation
341 W/m^2
destabilizing feedback
positive feedback
enhances the effect of a perturbation, makes change larger
pushes system on to next stable steady state after passing unstable steady state
outgoing longwave radiation
239 W/m^2
reflected solar radiation
102 W/m^2
total planetary albedo
outgoing/incoming
102/341 =~ 0.28 ~ 0.3
insolation absorbed by surface
161 W/m^2
average sunlight over whole earth
S/4 ~ 341 W/m^2
S
solar constant
S ~ 1368 W/m^2
relatively constant
where does insolation go
absorbed by atmosphere
absorbed by surface
reflected by surface
reflected by clouds/atmosphere