Molecular dynamics / total energy

  • Thread starter raintrek
  • Start date
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

http://www.trekcore.com/1.jpg [Broken]

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...
 
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