Propagation of elastic waves in DNA

Mukherjee, Sunil Kumar; Sarkar, Sourav; Raychaudhuri, Pratap; Μazumdar, S. Κ.

doi:10.1155/s0161171283000654

Cited by 1 publication

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References 24 publications

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“…In recent years, these waves also known as low-frequency modes, have attracted great attention with the main objective to understand drug intercalation between DNA stack. [29][30][31] However, the important factor which couples these vibrations with charge transport is the effective coupling constant m 0 . To evaluate its real effect on the longtime evolution of the observed trains of polarons, we have plotted jw n ðtÞj 2 versus the base index n and the time as displayed in Figure 5.…”

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confidence: 99%

Discrete charge patterns in a Holstein‐SSH DNA lattice

Dang

Tabi

Fouda

et al. 2014

Int J of Quantum Chemistry

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DNA nonlinear charge transport is addressed in a combined Holstein-Su-Schrieffer-Heeger (HSSH) model. In the adiabatic approximation the dynamics of the system is shown to be governed by a modified discrete nonlinear Schr€ odinger (MDNLS) equation, where charge-lattice coupling parameters are obvious. Attention is paid to the effective coupling parameter, m 0 , between charge and internal molecular vibrations, which importantly influences the stability/instability features of the plane wave, solution to the MDNLS equation. Region of instability are remarkably reduced, therefore predicting that increasing m 0 could progressively quench charge transport. This is confirmed by numerical simulations on the generic HSSH model, where only the charge density is excited and drives the dynamics of the global system. Polarons, as well as longitudinal and transversal nonlinear waves, are obtained and the dependence of charge transport on DNA conformation is discussed. Accordingly, the longtime evolution of the found polarons is studied and we observe a progressive extinction of its temporal evolution as m 0 increases.

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confidence: 99%