4 problems

Resonance conjecture. The observed increase in velocity could be a signature of resonant phenomena at larger noise strengths.

Let the potential be the multidimensional washboard potential for a current-biased two-dimensional Josephson-junction array with frustration, and let $\beta_c$ denote the inertial…

Let $v_\infty$ be the asymptotic bulk velocity of the ratchet, let $T$ be the temporal period, and let $r$ be the rotation number of the associated characteristic flow. Small-noise…

Let the travelling potential be … where $\psi$ is $1$-periodic and $\omega$ is a constant. Consider the corresponding ratchet and denote its average drift velocity by $v$. Positive…