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  Duality between relaxation and first passage in reversible Markov dynamics: Rugged energy landscapes disentangled.

Hartich, D., & Godec, A. (2018). Duality between relaxation and first passage in reversible Markov dynamics: Rugged energy landscapes disentangled. New Journal of Physics, 20(11): 112002. doi:10.1088/1367-2630/aaf038.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-9280-7 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-6493-6
Genre: Journal Article

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 Creators:
Hartich, D.1, Author              
Godec, A.1, Author              
Affiliations:
1Research Group of Mathematical Biophysics, MPI for Biophysical Chemistry, Max Planck Society, ou_2396692              

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Free keywords: first passage phenomena, stochastic processes, diffusion, few-encounter kinetics, spectral theory, large deviations, search processes
 Abstract: Relaxation and first passage processes are the pillars of kinetics in condensed matter, polymeric and single-molecule systems. Yet, an explicit connection between relaxation and first passage time-scales so far remained elusive. Here we prove a duality between them in the form of an interlacing of spectra. In the basic form the duality holds for reversible Markov processes to effectively one-dimensional targets. The exploration of a triple-well potential is analyzed to demonstrate how the duality allows for an intuitive understanding of first passage trajectories in terms of relaxational eigenmodes. More generally, we provide a comprehensive explanation of the full statistics of reactive trajectories in rugged potentials, incl. the so-called 'few-encounter limit'. Our results are required for explaining quantitatively the occurrence of diseases triggered by protein misfolding.

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Language(s): eng - English
 Dates: 2018-11-26
 Publication Status: Published online
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 Rev. Method: Peer
 Identifiers: DOI: 10.1088/1367-2630/aaf038
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Title: New Journal of Physics
Source Genre: Journal
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Pages: 11 Volume / Issue: 20 (11) Sequence Number: 112002 Start / End Page: - Identifier: -