The cage model for polymer reptation is extended to simulate gel electrophoresis. With increasing\ud electric field strength E, the drift velocity v of a long polymer with length L shows three different\ud regimes: (a) the linear regime where v~E/ L; (b) the quadratic regime where v~E^2 , independent\ud of the length of the polymer; and (c) a regime where the velocity decreases exponentionally with E.\ud The transition between regimes (a)! and (b) occurs for field strengths E~L^-1 . The transition\ud between regimes (b)! and (c) occurs for some value Eh , for which L^-1 <<Eh <<1. The behavior in the\ud first two regimes is in agreement with earlier reports on simulations of the Duke-Rubinstein model,\ud and with experimental work on DNA polymers in agarose gel. The third regime is not reported for\ud the Duke-Rubinstein model, probably because in this model, stored length cannot compile into\ud hernias
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