Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 60: Statistical Physics in Biological Systems III

DY 60.5: Talk

Friday, April 5, 2019, 11:00–11:15, H3

Reactive paths and record statistics in complex energy landscapes — David Hartich and •Aljaz Godec — Mathematical Bio- physics Group, Max-Planck-Institute for Biophysical Chemistry, Göttingen (GER)

When considering reaction kinetics in a single-molecule setting paradigmatic kinetic rate-based approaches often fail, and an explicit consideration of trajectory-to-trajectory fluctuations is required for a correct theoretical description. Exploiting a recently proven duality between relaxation and first passage processes (Hartich & Godec, New J. Phys. 20, 112002 (2018)) we will review our recent results on the full statics of reactive trajectories. We will demonstrate that traditional rate-based approaches counter-intuitively reflect delocalized and indirect reactive trajectories. We will highlight the striking difference between diffusion-controlled reactions in chemical systems and kinetics in the so-called few-encounter limit relevant for nucleation-limited phenomena. As a second application of the duality we will present large deviation results for the statistics of records. On the hand of selected examples we will discus the relevance of our results for emerging biophysical phenomena at low-copy numbers.