ANTI-PERSISTENT CORRELATED RANDOM-WALKS

An analysis is presented of anti-persistent random walks, in which aft er any step there is an increased probability of returning to the orig inal site. In addition to their intrinsic interest in the theory of ra ndom walks, they are relevant to certain problems in hopping transport , such as ionic conduction. An analysis is presented of such walks on hypercubic lattices in an arbitrary number of dimensions, for both dis crete time and continuous time random walks, and exact formulae are de rived for the mean square distance travelled in n steps or in time t. The relevance of these results to the observed frequency dependence of ionic conductivity is discussed.