Figure 2

Flux-fluctuation relationship in small systems.
Nodal flux fluctuation σi versus the average flux 〈fi〉 for small networks of size N = 50. The mean degree is 〈k〉 = 4 for (a,b) and 〈k〉 = 2 for (c,d). Panels (e,f) are results from a modified network of mean degree 〈k〉 = 2 but with a super-hub node. In panels (a,c,e) the flux-fluctuation relations are plotted on a logarithmic scale while in panels (b,d,f), a linear scale is used. The dashed curves are obtained from Eq. (1) and the solid curves are predictions from our modified flux-fluctuation law Eq. (2). All systems are under a constant external drive defined by M = 4000.