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.
Therefore, in the limitz→1, only the single factorχ(z) generates a simple pole atz= 1, while all other pieces remain finite
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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.