Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 57: Poster: Statistical Physics; Critical Phenomena; Stochastic Thermodynamics; Extreme Events; Data Analytics

DY 57.3: Poster

Thursday, March 19, 2020, 15:00–18:00, P1C

Large deviations of far-from-equilibrium RNA hairpin work processes — •Peter Werner and Alexander K. Hartmann — Institut für Physik, Carl von Ossietzky Universität Oldenburg

We investigate numerically [1] the work distribution P(W) of a driven unfolding and folding process of secondary structures for simple RNA hairpins [2] of varying sizes. For the simulation of the RNA dynamics, we use a standard Monte Carlo (MC) method with creation and removal of pairs in the secondary structure. We control these MC simulations by a large deviation technique [3] to reach rare realizations of work values, similar to a previous publication [4] on the work distribution of the Ising model. This allows us to reach very small probabilities as small as 10⁻¹⁰⁰ and to apply the Jarzynski relation and to confirm the validity of Crooks’ theorem for processes far from thermal equilibrium. Furthermore, by directly sampling RNA secondary structures in equilibrium, we calculate the overlap between the equilibrium structures and non-equilibrium ones which allows us to further characterize the rare events.

[1] A.K. Hartmann, Big Practical Guide to Computer Simulations (World Scientific, 2015).

[2] D. Collin, F. Ritort, C. Jarzynski, S.B. Smith, I. Tinoco and C. Bustamante, Nature, vol. 437, 231-234, 2005.

[3] A.K. Hartmann, Phys. Rev. E 65, 056102 (2002).

[4] A.K. Hartmann, Phys. Rev. E 89, 052103 (2014).