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First passage times for multiple particles with reversible target-binding kinetics
1Laboratoire de Physique de la Matière Condensée (UMR 7643), CNRS-Ecole Polytechnique, University Paris-Saclay, 91128 Palaiseau, France and Interdisciplinary Scientific Center Poncelet (ISCP) (UMI 2615 CNRS/IUM/IITP RAS/Steklov MI RAS/Skoltech/HSE), Bolshoy Vlasyevskiy Pereulok 11, 119002 Moscow, Russia.
The Journal of Chemical Physics
|October 9, 2017
Summary
We analyzed how multiple diffusing particles reaching a target affect reaction triggers. Finite residence times create particle coupling, influencing the mean first passage time for simultaneous arrival.
Area of Science:
- Physical Chemistry
- Chemical Physics
- Biophysics
Background:
- The first passage problem is crucial for understanding diffusion-limited reactions.
- Reversible target-binding kinetics with finite residence times introduce complex particle interactions.
- Simultaneous particle arrival on a target can initiate significant events.
Purpose of the Study:
- To investigate the first passage time for multiple particles with reversible target-binding kinetics.
- To determine the mean first passage time (MFPT) for the simultaneous arrival of 'm' particles.
- To analyze the impact of adsorption and desorption rates on particle behavior.
Main Methods:
- Analytical computation of the mean first passage time (MFPT).
- Mapping the problem to higher-dimensional surface-mediated diffusion.
- Solving coupled partial differential equations for particle dynamics.
Main Results:
- Finite residence times lead to intricate temporal coupling between independent particles.
- Analytical solutions for the MFPT were derived for two independent particles.
- The influence of adsorption and desorption rates on MFPT was quantified.
Conclusions:
- The study provides insights into multi-particle diffusion with reversible binding.
- Understanding particle coupling is key for predicting reaction initiation.
- The findings are relevant for chemical reactions and biophysical events.
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