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