projects
/
sawsim.git
/ commitdiff
commit
grep
author
committer
pickaxe
?
search:
re
summary
|
shortlog
|
log
|
commit
| commitdiff |
tree
raw
|
patch
|
inline
| side by side (parent:
1994aa8
)
Close parens in gamma calculation in manual's timescale discussion.
author
W. Trevor King
<wking@drexel.edu>
Tue, 13 Sep 2011 15:16:06 +0000
(11:16 -0400)
committer
W. Trevor King
<wking@drexel.edu>
Tue, 13 Sep 2011 15:16:06 +0000
(11:16 -0400)
src/sawsim.nw
patch
|
blob
|
history
diff --git
a/src/sawsim.nw
b/src/sawsim.nw
index 5f89121e6f23443520fdf9bdeabd19a3c47f85c2..2e0f0c45bdb40472d9e626db6403f81b28303521 100644
(file)
--- 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
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.
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.