Forward-backward bias of phase slips (source code)

= Forward-backward bias of phase slips
{title2=$p_+/p_-=e^{2\pi\omega/T_{\rm eff}}$}

In a mobility-one noisy <Adler phase equation>, matching <Kramers escape rate> prefactors and a barrier difference $2\pi\omega$ give $p_+/p_-=e^{2\pi\omega/T_{\rm eff}}$. Positive mismatch favors forward winding. The ratio is a low-noise barrier-crossing result, not a claim that the particle remains in one well at arbitrarily long times.