Non-linear interaction in random matrix models of RNA
نویسندگان
چکیده
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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