Quantification of the differences between quenched and annealed averaging for RNA secondary structures

Abstract

The analytical study of disordered system is usually difficult due to the necessity to perform a quenched average over the disorder. Thus, one may resort to the easier annealed ensemble as an approximation to the quenched system. In the study of RNA secondary structures, we explicitly quantify the deviation of this approximation from the quenched ensemble by looking at the correlations between neighboring bases. This quantified deviation then allows us to propose a constrained annealed ensemble which predicts physical quantities much closer to the results of the quenched ensemble without becoming technically intractable.

9 pages, 14 figures, submitted to Phys. Rev. E

References in corpus (9)

• RNA Folding and Large N Matrix Theory
• Statistical mechanics of secondary structures formed by random RNA sequences
• The secondary structure of RNA under tension
• Nature of the glassy phase of RNA secondary structure
• Zero Temperature Properties of RNA Secondary Structures
• Statistical mechanics of RNA folding: a lattice approach
• RNA denaturation: excluded volume, pseudoknots and transition scenarios
• Reply to the Comment on `Glassy Transition in a Disordered Model for the RNA Secondary Structure'
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