Editing Verlet leap-frog algorithm

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The '''Verlet leap-frog algorithm''' <ref>R. W. Hockney "The potential calculation and some applications", Methods in Computational Physics vol. '''9''' pp. 135-211 Academic Press, New York  (1970)</ref> is a variant of the original Verlet scheme  <ref>[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)]</ref> for use in [[molecular dynamics]] simulations. The algorithm is given by:
The '''Verlet leap-frog algorithm''' is a variant of the original Verlet scheme  <ref>[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)]</ref> for use in [[molecular dynamics]] simulations. The algorithm is given by:


:<math>r(t + \delta t) = r (t) + \delta t v\left(t+ \frac{1}{2} \delta t\right)</math>
:<math>r(t + \delta t) = r (t) + \delta t v\left(t+ \frac{1}{2} \delta t\right)</math>
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<references/>
<references/>
'''Related reading'''
'''Related reading'''
*R. W. Hockney "The potential calculation and some applications", Methods in Computational Physics vol. '''9''' pp. 135-211 Academic Press, New York  (1970)
*[http://dx.doi.org/10.1063/1.2779878 Michel A. Cuendet and Wilfred F. van Gunsteren "On the calculation of velocity-dependent properties in molecular dynamics simulations using the leapfrog integration algorithm", Journal of Chemical Physics '''127''' 184102 (2007)]
*[http://dx.doi.org/10.1063/1.2779878 Michel A. Cuendet and Wilfred F. van Gunsteren "On the calculation of velocity-dependent properties in molecular dynamics simulations using the leapfrog integration algorithm", Journal of Chemical Physics '''127''' 184102 (2007)]
[[category: Molecular dynamics]]
[[category: Molecular dynamics]]
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