Kinetics of rare events for non-Markovian stationary processes and application to polymer dynamics
arXiv:2002.01319 · doi:10.1103/PhysRevResearch.2.012057
Abstract
How much time does it take for a fluctuating system, such as a polymer chain, to reach a target configuration that is rarely visited -- typically because of a high energy cost ? This question generally amounts to the determination of the first-passage time statistics to a target zone in phase space with lower occupation probability. Here, we present an analytical method to determine the mean first-passage time of a generic non-Markovian random walker to a rarely visited threshold, which goes beyond existing weak-noise theories. We apply our method to polymer systems, to determine (i) the first time for a flexible polymer to reach a large extension, and (ii) the first closure time of a stiff inextensible wormlike chain. Our results are in excellent agreement with numerical simulations and provide explicit asymptotic laws for the mean first-passage times to rarely visited configurations.
Accepted in Physical Review Research (Rapid Communication) Main text + SI
References in corpus (10)
- First-passage times in complex scale-invariant media
- First Passage Under Restart
- Computation of extreme heat waves in climate models using a large deviation algorithm
- Mean first-passage times of non-Markovian random walkers in confinement
- Non-Markovian polymer reaction kinetics
- Disease extinction in the presence of non-Gaussian noise
- Anomalous Polymer Dynamics Is Non-Markovian: Memory Effects and The Generalized Langevin Equation Formulation
- Kinetics of Interior Loop Formation in Semiflexible Chains
- Tension dynamics in semiflexible polymers. Part I: Coarse-grained equations of motion
- Protein-Mediated DNA Loops: Effects of Protein Bridge Size and Kinks