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Molecular dynamics / total energy

  1. Mar 1, 2008 #1
    1. The problem statement, all variables and given/known data

    Considering a collection of N atoms, simulated using molecular dynamics techniques with thte microcanonical ensemble, the collection's total energy E is given by


    where vi is an atom velocity, ri and rj are atom positions relation to some arbitrary origin. Illustrate that E should not change during the course of the simulation.

    2. Relevant equations

    3. The attempt at a solution

    I think I'm supposed to be showing that dE/dt = 0 here, but I have no idea how to progress given the lack of t dependence...
  2. jcsd
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