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Reactive multi-particle collision dynamics with reactive boundary conditions.

Alireza Sayyidmousavi1,2, Katrin Rohlf1

  • 1Department of Mathematics, Ryerson University, 350 Victoria Street, Toronto, ON, M5B2K3, Canada.

Physical Biology
|April 7, 2018
PubMed
Summary

This study enhances reactive multi-particle collision (RMPC) dynamics to simulate reaction-diffusion systems with reactive boundaries. The method accurately models particle diffusion and adsorption, offering a computationally efficient alternative.

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Area of Science:

  • Computational physics
  • Chemical kinetics
  • Physical chemistry

Background:

  • Modeling reaction-diffusion systems with reactive boundaries is crucial for understanding complex chemical and biological processes.
  • Existing particle-based methods often struggle to maintain accurate diffusion coefficients and handle reactive boundaries efficiently.

Purpose of the Study:

  • To extend the off-lattice reactive multi-particle collision (RMPC) dynamics to accurately model reaction-diffusion systems with reactive boundary conditions.
  • To ensure the precise maintenance of particle diffusion coefficients throughout simulations.
  • To incorporate partial adsorption phenomena at reactive boundaries within the RMPC framework.

Main Methods:

  • The study utilizes an off-lattice particle-based method, reactive multi-particle collision (RMPC) dynamics.
  • Bath particles are introduced to maintain the diffusion coefficient of the main particles.
  • A novel approach, analogous to Brownian Dynamics, is employed to model partial adsorption at reactive boundaries.

Main Results:

  • The extended RMPC method successfully models reaction-diffusion systems with reactive boundaries.
  • The approach maintains the a priori diffusion coefficient of particles.
  • Simulations show very good agreement with the analytical solutions of corresponding partial differential equations.
  • The method demonstrates conservation of mass, energy, and momentum.

Conclusions:

  • The enhanced RMPC method provides an accurate and computationally efficient approach for simulating reaction-diffusion systems with reactive boundaries.
  • This method offers advantages over other molecular-based techniques due to its computational cost and conservation properties.
  • The successful validation across three test systems highlights its robustness and applicability.