Abstract
The dynamics of single DNA molecules in a homogeneous planar elongational electric field is investigated in the framework of the Hookean Dumbbell model. For a Gaussian, rapidly changing advecting flow the Fokker-Planck equation for time-dependent probability density function of DNA elongation is obtained. The analytical solution for probability density function of time independent problem is derived. The coil-stretch transition is studied when the elongation of the DNA molecule is very small than the maximum length. The characteristic relaxation time is calculated as a function of the Weissenberg number. It is observed that the coil-stretch transition and characteristic relaxation time of DNA molecule strongly depend on the angle of the principal axis of molecule with respect to axis of elongation.
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