Nature of the glassy phase of RNA secondary structure
arXiv:cond-mat/0108374 · doi:10.1209/epl/i2002-00527-x
Abstract
We characterize the low temperature phase of a simple model for RNA secondary structures by determining the typical energy scale E(l) of excitations involving l bases. At zero temperature, we find a scaling law E(l) \sim l^θwith θ\approx 0.23, and this same scaling holds at low enough temperatures. Above a critical temperature, there is a different phase characterized by a relatively flat free energy landscape resembling that of a homopolymer with a scaling exponent θ=1. These results strengthen the evidence in favour of the existence of a glass phase at low temperatures.
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