Disorder in neural connectivity is well approximated by an effective temperature for a moving droplet. (a) Long-range disorder breaks the degeneracy of the continuous attractor, creating a rough landscape. A droplet moving at velocity in this rough landscape experiences random forces. (b) The fluctuations of a moving droplet's position, relative to the cup's bottom, can be described by an effective temperature . We define a potential where is the probability of the droplet's position fluctuating to a distance from the peak external current. We find that corresponding to different amounts of disorder (where is the average number of long-range disordered connections per neuron in units of ), can be collapsed by the one fitting parameter . Inset: is linearly proportional to the strength of disorder .
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