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DOLLS and SLLOD Algorithm

  1. Jun 9, 2013 #1
    Apparently, this is the DOLLS tensor Hamiltonian:

    [ tex ] H = H_0 + \sum q_i p_i : ∇u(t)^T [ /tex ]

    These are the derived equations of motion:

    [ tex ] \dot{q}_i = p_i/m + q_i \cdot ∇u [ /tex ]

    [ tex ] \dot{p}_i = F_i - ∇u \cdot p_i [ /tex ]

    And these are the SLLOD equations of motion:

    [ tex ] \dot{q}_i = p_i/m + q_i \cdot ∇u [ /tex ]

    [ tex ] \dot{p}_i = F_i - p_i \cdot ∇u [ /tex ]

    For me this is nonsense. What is a division of an outer product (I guess), [ tex ] \sum q_i p_i [ /tex ], by a transposed vector? And, most of all, what is the difference between the equations of motion of these two methods?
     
    Last edited: Jun 9, 2013
  2. jcsd
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