Monte Carlo reptation moves

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Reptation moves are also known as the "slithering snake" model [1]. It is particularly useful in lattice simulations of long chain molecules such as polymers. One randomly chooses one of the two ends to become the head of the snake. One then removes a piece of its tail, and after another random selection between freely available sites, one tacks on a new section to become the new head of the snake. For example:


If the position of the head is already occupied, the move is rejected. And, in order to avoid any bias, the head now becomes the tail in the next trial move.

See also[edit]