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DY: Fachverband Dynamik und Statistische Physik
DY 49: Statistical Physics: General
DY 49.1: Talk
Friday, September 9, 2022, 09:30–09:45, H20
Large-Deviation Properties of Non-equilibrium RNA Work Processes — •Peter Werner and Alexander K. Hartmann — Institute of Physics, University of Oldenburg, Germany
The Higgs RNA model [1] is one of the few cases of a model with quenched disorder and complex free energy landscape, where exact partition function calculation and sampling can be done in polynomial time. Building on previous work [2], non-equilibrium properties of this model are investigated further. Here, we are interested in the case where, by applying an external force, RNAs are stretched or refolded, like it is also done in experiments with real RNA. Such processes are realized by first sampling an RNA secondary structure in equilibrium and subsequently performing a non-equilibrium MC Simulation during which the external force parameter is varied. The performed physical work W and secondary structures are measured during the processes.
By utilizing a large-deviation algorithm that is based on biasing random numbers [3], we are able to measure the work distributions P(W) over a wide range of the support down to probabilities such as 10−40. We show how work distributions and the corresponding large-deviation rate function behave under an appropriate length variations of various nucleotide sequences, specifically, whether the large-deviation principle holds.
[1] P. G. Higgs, Phys. Rev. Lett., 76, 704 (1996)
[2] P. Werner and A. K. Hartmann, Phys. Rev. E 104, 034407 (2021)
[3] A. K. Hartmann, Phys. Rev. E 89, 052103 (2014)