From 19ff30c04333ead9466575688eb3f00f0b95c03a Mon Sep 17 00:00:00 2001 From: "W. Trevor King" Date: Tue, 13 Sep 2011 11:16:06 -0400 Subject: [PATCH] Close parens in gamma calculation 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 5f89121..2e0f0c4 100644 --- a/src/sawsim.nw +++ b/src/sawsim.nw @@ -684,7 +684,7 @@ relative to the simulation timestep $dt$, so that tension is uniform 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 +\equiv \omega_0(-\zeta \pm \sqrt{\zeta^2-1})$, the natural angular frequency $\omega_0 \equiv \sqrt{k/m}$, $\zeta \equiv b/2\sqrt{km}$, and $b$ sets the drag $F_b = -bv$. For our cantilevers $\tau$ is on the order of milliseconds, which is longer than a timestep. -- 2.26.2