Glass transition in secondary structures formed by random RNA sequences

Details Glass transition in secondary structures formed by random RNA sequences Glass transition in secondary structures formed by random RNA sequences

2001-06-04

arxiv.org/abs/cond-mat/0106029v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

Formation of RNA secondary structures is an example of the sequence-structure problem omnipresent in biopolymers. A theoretical question of recent interest is whether a random RNA sequence undergoes a finite temperature glass transition. We answer this question affirmatively by first establishing the perturbative stability of the high temperature phase via a two replica calculation. Subsequently, we show that this phase cannot persist down to zero temperature by considering energetic contributions due to rare regions of complementary subsequences.

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