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All-atom computations with irreversible Markov chains.

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Summary
This summary is machine-generated.

The irreversible event-chain Monte Carlo (ECMC) algorithm efficiently simulates dense systems with long-range Coulomb interactions. This method avoids computational bottlenecks by only requiring potential derivatives, not full potential evaluation.

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Area of Science:

  • Computational Physics
  • Statistical Mechanics
  • Molecular Dynamics

Background:

  • Simulating dense systems with long-range Coulomb interactions presents significant computational challenges.
  • Traditional methods often rely on approximations like time-steps or spatial cutoffs, limiting accuracy.
  • Evaluating the total Coulomb potential is a major bottleneck in these simulations.

Purpose of the Study:

  • To apply the irreversible event-chain Monte Carlo (ECMC) algorithm to dense all-atom systems.
  • To demonstrate ECMC's ability to circumvent computational bottlenecks associated with Coulomb interactions.
  • To investigate ECMC's performance and scalability for complex molecular models.

Main Methods:

  • Utilized the irreversible event-chain Monte Carlo (ECMC) algorithm, an event-driven method that samples the Boltzmann distribution exactly.
  • Applied ECMC without time-step approximations or spatial cutoffs for interaction potentials.
  • Decomposed the total interaction potential into factors, focusing on derivatives of the two-particle Coulomb potential.

Main Results:

  • ECMC successfully simulated dense all-atom systems with long-range Coulomb interactions.
  • Demonstrated superior performance with dipole-dipole factors for neutral dipolar molecules, enabling local lifting schemes.
  • Showcased excellent computational complexity scaling with system size for the SPC/Fw water model in a particle-particle framework.

Conclusions:

  • ECMC offers a computationally efficient and accurate alternative for simulating systems with long-range Coulombic forces.
  • The method avoids common approximations and computational bottlenecks of traditional simulation techniques.
  • ECMC shows promise for future applications in various complex physical and chemical systems.