Single-file diffusion in a bi-stable potential: signatures of memory in the barrier-crossing of a tagged-particle

Abstract

We investigate memory effects in barrier-crossing in the overdamped setting. We focus on the scenario where the hidden degrees of freedom relax on exactly the same time scale as the observable. As a prototypical model, we analyze tagged-particle diffusion in a single file confined to a bi-stable potential. We identify the signatures of memory and explain their origin. The emerging memory is a result of the projection of collective many-body eigenmodes onto the motion of a tagged-particle. We are interested in the "confining" (all background particles in front of the tagged-particle) and "pushing" (all background particles behind the tagged-particle) scenarios for which we find non-trivial and qualitatively different relaxation behaviors. Notably and somewhat unexpectedly, at a fixed particle number, we find that the higher the barrier, the stronger the memory effects are. The fact that the external potential alters the memory is important more generally and should be taken into account in applications of generalized Langevin equations. Our results can readily be tested experimentally and may be relevant for understanding transport in biological ion-channels.

arXiv commentVersion accepted for publication in The Journal of Chemical Physics

References in corpus (26)

• Single-File Diffusion of Atomic and Colloidal Systems: Asymptotic Laws
• From random walk to single-file diffusion
• Foundation of Fractional Langevin Equation: Harmonization of a Many Body Problem
• Entropy-driven pumping across zeolites and biological channels
• Heterogeneous and rate-dependent streptavidin-biotin unbinding revealed by high-speed force spectroscopy and atomistic simulations
• Single-File diffusion in a Box
• Faster uphill relaxation in thermodynamically equidistant temperature quenches
• Theory of Single File Diffusion in a Force Field
• A Test for Determining a Subdiffusive Model in Ergodic Systems from Single Trajectories
• The Lasting Effect of Initial Conditions on Single File Diffusion
• Diffusion of Finite-Sized Hard-Core Interacting Particles In a One-Dimensional Box - Tagged Particle Dynamics
• Diffusion of Tagged Particle in an Exclusion Process
• Interlacing Relaxation and First-Passage Phenomena in Reversible Discrete and Continuous Space Markovian Dynamics
• A Decomposition of Irreversible Diffusion Processes Without Detailed Balance
• Single-file escape of colloidal particles from microfluidic channels
• Duality Between Relaxation and First Passage in Reversible Markov Dynamics: Rugged Energy Landscapes Disentangled
• Manifestations of Projection-Induced Memory: General Theory and the Tilted Single File
• Non-Markovian barrier crossing with two-time-scale memory is dominated by the faster memory component
• On single file and less dense processes
• Unfolding Tagged Particle Histories in Single-File Diffusion: Exact Single- and Two-Tag Local Times Beyond Large Deviation Theory
• Tractable nonlinear memory functions as a tool to capture and explain dynamical behaviours
• Exact analytical evaluation of time dependent transmission coefficient from the method of reactive flux for an inverted parabolic barrier
• Surmounting potential barriers: hydrodynamic memory hedges against thermal fluctuations in particle transport
• Role of the potential landscape on the single-file diffusion through channels
• Many-body effects in tracer particle diffusion with applications for single-protein dynamics on DNA
• BetheSF: Efficient computation of the exact tagged-particle propagator in single-file systems via the Bethe eigenspectrum

Cited by in corpus (10)

• Milestoning estimators of dissipation in systems observed at a coarse resolution: When ignorance is truly bliss
• Violation of Local Detailed Balance Despite a Clear Time-Scale Separation
• A Toolbox for Quantifying Memory in Dynamics Along Reaction Coordinates
• Equation of state of hard-disk fluids under single-file confinement
• Model-free inference of memory in conformational dynamics of a multi-domain protein
• Asymmetric Thermal Relaxation in Driven Systems: Rotations go Opposite Ways
• On the emergence of memory in equilibrium versus non-equilibrium systems
• Emerging universality classes in thermally-assisted activation of interacting diffusive systems: A perturbative hydrodynamic approach
• Time- and ensemble-average statistical mechanics of the Gaussian Network Model
• Inferring intermediate states by leveraging the many-body Arrhenius law