Random RNA under tension
Francois David, Christian Hagendorf, Kay Joerg Wiese
Abstract
The Laessig-Wiese (LW) field theory for the freezing transition of random RNA secondary structures is generalized to the situation of an external force. We find a second-order phase transition at a critical applied force f = fc. For f < fc forces are irrelevant. For f > fc, the extension L as a function of pulling force f scales as (f-fc)(1/gamma-1). The exponent gamma is calculated in an epsilon-expansion: At 1-loop order gamma = epsilon/2 = 1/2, equivalent to the disorder-free case. 2-loop results yielding gamma = 0.6 are briefly mentioned. Using a locking argument, we speculate that this result extends to the strong-disorder phase.
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