Figure 1

(Color online) Escape rate divided by the Kramers low damping result, Eq. (2), as a function of $\Delta U/k_{B}T$. (a) Dots are numerical results and the corresponding color solid lines are the theoretical prediction by DH theory (Ref. 18). The black line stands for the vanishing damping rate formula, Eq. (3). (b) and (c) compare different theoretical results.Reuse & Permissions

Figure 2

(Color online) Damping dependence for the escape rates. The points are numerical results and the corresponding solid lines account for DH theory (Ref. 18). The horizontal black line is the vanishing damping limit Eq. (3). Top: curves for $\Delta U/k_{B}T=3$. Bottom: $\Delta U/k_{B}T=10$. The inset compares DH to BHL (green lines) results.Reuse & Permissions

Figure 3

(Color online) Activation rate vs barrier for three initial conditions: particles are at the bottom of the metastable well with zero velocity (blue squares), $v=\sqrt{k_{B}T/m}$ (green light points), or $v=-\sqrt{k_{B}T/m}$ (brown dark points). Lines stand for theoretical predictions of Eq. (5).Reuse & Permissions

Figure 4

(Color online) (a) Average switching current at different values of the damping for $T=0.01$ and current ramp $\dot{I}=3.33\times {10}^{-7}$ (red) and $\dot{I}={10}^{-8}$ (blue). Solid symbols are for numerical simulations, dashed lines for predictions based on BHL theory, dotted lines for DH theory, and solid lines for our theory, Eq. (5) with $E_{in}=k_{B}T/2$. We also plot (right axis) the value of the barrier at the mean switching current. (b) Normalized current versus normalized damping over ramp ratio (Ref. 21). (c) Mean energy divided by $k_{B}T$ of particles in the well (brown) and fraction of particles which have escaped (green) as a function of the applied current ($T=0.01$, $\gamma ={10}^{-5}$, and $\dot{I}=3.33\times {10}^{-7}$).Reuse & Permissions