Monte Carlo reptation moves: Difference between revisions

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'''Reptation moves''' are also known as the "slithering snake" model. One [[Random numbers | randomly]] chooses one of the two ends to become, on this occasion, 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 head of the snake. For example:
'''Reptation moves''' are also known as the "slithering snake" model <ref>[http://dx.doi.org/10.1063/1.431268      Frederick T. Wall and Frederic Mandel "Macromolecular dimensions obtained by an efficient Monte Carlo method without sample attrition", Journal of Chemical Physics '''63''' pp. 4592-4595 (1975)]</ref>. It is particularly useful in [[Lattice simulations (Polymers) | lattice simulations]] of long chain molecules such as [[polymers]]. One [[Random numbers | 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:


<br>:[[Image:Reptation.png|500px]]<br>
<br>:[[Image:Reptation.png|500px]]<br>
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==
==See also==
*[[Configurational bias Monte Carlo]]
*[[Configurational bias Monte Carlo]]
==References==
==References==
#[http://dx.doi.org/10.1063/1.431268      Frederick T. Wall and Frederic Mandel "Macromolecular dimensions obtained by an efficient Monte Carlo method without sample attrition", Journal of Chemical Physics '''63''' pp. 4592-4595 (1975)]
<references/>
[[category: monte Carlo]]
[[category: monte Carlo]]
[[Category:Computer simulation techniques]]
[[Category:Computer simulation techniques]]

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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]

References[edit]