title: Analytical solution for the Feynman ratchet.
abstract: A search for an analytical, closed form solution of the Fokker-Planck equation with periodic, asymmetric potentials (ratchets) is presented. It is found that logarithmic-type potential functions (related to "entropic" ratchets) allow for an approximate solution within a certain range of parameters. An expression for the net current is calculated and it is shown that the efficiency of the rocked entropic ratchet is always low.
authors.affiliation: Institute of Physical and Theoretical Chemistry, Technical University, Wybrzeze Wyspiańskiego 27, Wrocław, Poland.
authors.forename: Karol
authors.initials: K
authors.lastname: Pesz
authors.forename: Barbara J
authors.initials: BJ
authors.lastname: Gabryś
authors.forename: Stanisław J
authors.initials: SJ
authors.lastname: Bartkiewicz