From 1994aa886096a81d2ef73aa40c97c57cded6cc35 Mon Sep 17 00:00:00 2001 From: "W. Trevor King" Date: Tue, 13 Sep 2011 11:15:07 -0400 Subject: [PATCH 1/1] Fix omega -> \omega in manual's timescale discussion. --- src/sawsim.nw | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/sawsim.nw b/src/sawsim.nw index b83faa5..5f89121 100644 --- a/src/sawsim.nw +++ b/src/sawsim.nw @@ -685,7 +685,7 @@ along the chain. The quality of this assumption depends on your particular chain. For example, a damped spring thermalizes on a timescale of order $\tau = 1/\gamma$ where the damping ratio $\gamma \equiv \omega_0(-\zeta \pm \sqrt{\zeta^2-1}$, the natural angular -frequency $omega_0 \equiv \sqrt{k/m}$, $\zeta \equiv b/2\sqrt{km}$, +frequency $\omega_0 \equiv \sqrt{k/m}$, $\zeta \equiv b/2\sqrt{km}$, and $b$ sets the drag $F_b = -bv$. For our cantilevers $\tau$ is on the order of milliseconds, which is longer than a timestep. However, the approximation is still reasonable, because there is -- 2.26.2