Velocity Verlet algorithm: Difference between revisions

Revision as of 09:00, 26 November 2010

The Velocity Verlet algorithm for use in molecular dynamics is given by

r(t+\delta t)=r(t)+\delta tv(t)+{\frac {1}{2}}\delta t^{2}a(t)

v\left(t+\delta t\right)=v(t)+{\frac {1}{2}}\delta t[a(t)+a(t+\delta t)]

where $r$ is the position, $v$ is the velocity, $a$ is the acceleration and $t$ is the time.

@@ Line 5: / Line 5: @@
 :<math>v \left(t+  \delta t\right) = v(t) + \frac{1}{2} \delta t [ a(t) + a(t+\delta t)]</math>
-where <math>r</math> is the position, <math>v</math> is the velocity and <math>t</math> is the time.
+where <math>r</math> is the position, <math>v</math> is the velocity, <math>a</math> is the acceleration and <math>t</math> is the time.
 ==See also==
 *[[Verlet leap-frog algorithm]]