http://www.sklogwiki.org/SklogWiki/api.php?action=feedcontributions&feedformat=atom&user=152.78.97.17SklogWiki - User contributions [en]2026-04-30T23:25:11ZUser contributionsMediaWiki 1.41.0http://www.sklogwiki.org/SklogWiki/index.php?title=Velocity_Verlet_algorithm&diff=10848Velocity Verlet algorithm2010-11-26T08:00:33Z<p>152.78.97.17: added "a is the acceleration" for the equation</p>
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<div>The '''Velocity Verlet algorithm''' for use in [[molecular dynamics]] is given by<br />
<br />
:<math>r(t + \delta t) = r (t) + \delta t v(t) + \frac{1}{2} \delta t^2 a(t)</math><br />
<br />
:<math>v \left(t+ \delta t\right) = v(t) + \frac{1}{2} \delta t [ a(t) + a(t+\delta t)]</math><br />
<br />
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.<br />
==See also==<br />
*[[Verlet leap-frog algorithm]]<br />
==References==<br />
#[http://dx.doi.org/10.1103/PhysRev.159.98 Loup Verlet "Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules", Physical Review '''159''' pp. 98-103 (1967)]<br />
#[http://dx.doi.org/10.1063/1.442716 William C. Swope, Hans C. Andersen, Peter H. Berens and Kent R. Wilson "A computer simulation method for the calculation of equilibrium constants for the formation of physical clusters of molecules: Application to small water clusters", Journal of Chemical Physics '''76''' pp. 637-649 (1982)]<br />
==External resources==<br />
*[ftp://ftp.dl.ac.uk/ccp5/ALLEN_TILDESLEY/F.04 Velocity version of Verlet algorithm ] sample FORTRAN computer code from the book [http://www.oup.com/uk/catalogue/?ci=9780198556459 M. P. Allen and D. J. Tildesley "Computer Simulation of Liquids", Oxford University Press (1989)].<br />
[[category: Molecular dynamics]]</div>152.78.97.17