Long-range correlations and charge transport properties of DNA sequences

By using Hurst's analysis and transfer approach, the rescaled range functions and Hurst exponents of human chromosome 22 and enterobacteria phage lambda DNA sequences are investigated and the transmission coefficients, Landauer resistances and Lyapunov coefficients of finite segments based on above genomic DNA sequences are calculated. In a comparison with quasiperiodic and random artificial DNA sequences, we find that λ-DNA exhibits anticorrelation behavior characterized by a Hurst exponent 0.5<H<1 while, as far as the segments selected in our Letter are concerned, Ch22 sequence displays a transition from correlation behavior to anticorrelation behavior. The resonant peaks of the transmission coefficient in genomic sequences can survive in longer sequence length than in random sequences but in shorter sequence length than in quasiperiodic sequences. It is shown that the genomic sequences have long-range correlation properties to some extent but the correlations are not strong enough to maintain the scale invariance properties.