Revisiting Shooting Point Monte Carlo Methods for Transition Path Sampling

• Main Authors: Falkner, Sebastian, Coretti, Alessandro, Peters, Baron, Bolhuis, Peter G, Dellago, Christoph
• Format: Journal Article
• Language: English
• Published: 06-08-2024
• Subjects: Physics - Computational Physics; Physics - Statistical Mechanics
• DOI: 10.48550/arxiv.2408.03054

Rare event sampling algorithms are essential for understanding processes that
occur infrequently on the molecular scale, yet they are important for the
long-time dynamics of complex molecular systems. One of these algorithms,
transition path sampling, has become a standard technique to study such rare
processes since no prior knowledge on the transition region is required. Most
TPS methods generate new trajectories from old trajectories by selecting a
point along the old trajectory, modifying its momentum in some way, and then
``shooting'' a new trajectory by integrating forward and backward in time. In
some procedures, the shooting point is selected independently for each trial
move, but in others, the shooting point evolves from one path to the next so
that successive shooting points are related to each other. We provide an
extended detailed balance criterion for shooting methods. We affirm detailed
balance for most TPS methods, but the new criteria reveals the need for amended
acceptance criteria in the flexible length aimless shooting and spring shooting
methods.