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Molecular dynamics help - Lennard Jones potention

  1. Aug 19, 2014 #1
    1. The problem statement, all variables and given/known data

    The Lennard-Jones potential function [itex] u(r) = 4ε[(σ/r)^12 - (σ/r)^6] [/itex]

    If intermolecular interactions are ignored in this calculation for [itex] r > rc [/itex], show that in the mean field approximation in the long range correction [itex] P*LR to the measured pressure is given by:

    P*LR / ρ*T* = -16∏ρ*/3T*(r*c)^3 [1- 2/3(rc)^6]

    * asterisk denotes MD units

    2. Relevant equations

    I'm not exactly sure on the equations to be used. I know the Lennard-Jones potential is the starting point, but I need some help beyond this.

    3. The attempt at a solution

    Unfortunately I don't know where to go from here, if I just have a little nudge I can probably go from there. Many thanks
     
  2. jcsd
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