(color online) Tangent vector correlation lengths and amplitudes for naked DNA. (a) The longitudinal correlation length ξ‖(f) calculated by three different methods: by Eq. 10 (bottom pink crosses), by Eq. 11 (bottom red line), and by Eq. 13 (bottom green squares, overlapping with bottom pink crosses). The transverse correlation length ξ⊥(f) calculated by three different methods: by Eq. 10 (top orange pluses), by Eq. 11 (top blue line), and by Eq. 13 (top aqua circles, overlapping with top orange pluses). In high-force range, . (b) The longitudinal correlation function amplitude C‖(f) calculated by Eq. 10 (bottom pink crosses), agreeing with Gt̂z (0, f) (bottom green squares) and the high-force limit from Eq. 11 (bottom red line). The transverse correlation function amplitude C⊥(f) calculated by Eq. 10 (top orange pluses), agreeing with Gt̂x (0, f) (top aqua circles) and the high-force limit from Eq. 11 (top blue line).