Non-linear interaction in random matrix models of RNA

2011/03/29 by I. Garg, Itty Garg, Garg, Itty +5
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Biomolecules (q-bio.BM) #DNA and Nucleic Acid Chemistry #FOS: Biological sciences #FOS: Physical sciences #Protein Structure and Dynamics #RNA and protein synthesis mechanisms #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #q-bio.BM

paper · pdf · doi:10.48550/arxiv.1103.5601

7 pages, 2 figures, 1 table

arxiv created 2011/03/29 · openalex publication_date 2011/03/29 · arxiv updated 2011/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A non-linear Penner type interaction is introduced and studied in the random matrix model of homo-RNA. The asymptotics in length of the partition function is discussed for small and large N (size of matrix). The interaction doubles the coupling (v) between the bases and the dependence of the combinatoric factor on (v,N) is found. For small N, the effect of interaction changes the power law exponents for the secondary and tertiary structures. The specific heat shows different analytical behavior in the two regions of N, with a peculiar double peak in its second derivative for N=1 at low temperature. Tapping the model indicates the presence of multiple solutions.

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