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Langevin Equation unusal form

  1. Nov 9, 2009 #1
    I'm trying to understand a paper (Magnasco, 1993) which discusses "Forced thermal ratchets". It gives a Langevin equation as:

    [tex]\stackrel{.}{x} = \epsilon(t) + f(x) + F(t)[/tex]

    where x (a cyclic coordinate) describes the state of the ratchet, f(x) is a force field, F is a driving force and [tex]\epsilon[/tex] is gaussian noise.

    I can't understand the [tex]\stackrel{.}{x}[/tex] term. If x is a coordinate then the term is velocity, however the RHS is all force, so logically x could only be momentum.

    I would very much appreciate some help with this as I'm rather confused.

  2. jcsd
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