Analytical solution for the Feynman ratchet.
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.
Pesz
Karol
K
Institute of Physical and Theoretical Chemistry, Technical University, Wybrzeze Wyspiańskiego 27, Wrocław, Poland.
Gabryś
Barbara J
BJ
Bartkiewicz
Stanisław J
SJ