Fig. 1. Examples of the spatial heterogeneities within a square lattice of width 10 with reflecting boundaries.
Panel (a) depicts open partitions with the solid black lines indicating impenetrable barriers. When these barriers enclose a region, some space becomes inaccessible indicated by the sites colored dark grey in panel (b). Panel (c) shows a lattice where three pairs of non-neighboring sites have a long-range connection, i.e., transitions from a dashed site include the nearest-neighbors as well as the site connected via the dashed line. Panel (d) is an example of where the diffusivity of the striped sites is smaller than the regular (nonstriped) sites. The central site flagged by a red square and the two sites flagged by a blue diamond are, respectively, the initial condition and the absorbing targets for use in later sections.
