Lattice random walks in focal-point potentials exhibit logarithmic growth of distinct sites visited and can display a minimum in mean first-passage time versus bias strength.
To this end, one needs to apply az-inversion to the generating function eQ(n, z|n0) given in Eq
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Tethering effects on first-passage variables of lattice random walks in linear and quadratic focal point potentials
Lattice random walks in focal-point potentials exhibit logarithmic growth of distinct sites visited and can display a minimum in mean first-passage time versus bias strength.